Initial commit
This commit is contained in:
Ian Jauslin
15
figs/atoms.fig/Makefile
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15
figs/atoms.fig/Makefile
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@ -0,0 +1,15 @@
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PROJECTNAME=crystal liquid gas nematic chiral
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PNGS=$(addsuffix .png, $(PROJECTNAME))
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all: $(PNGS)
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$(PNGS):
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cp $(patsubst %.png, %, $@)-base.gp $(patsubst %.png, %, $@).gp
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python $(patsubst %.png, %, $@).py >> $(patsubst %.png, %, $@).gp
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gnuplot $(patsubst %.png, %, $@).gp > $@
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clean-aux:
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rm -f $(addsuffix .gp, $(PROJECTNAME))
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clean: clean-aux
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rm -f $(PNGS)
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22
figs/atoms.fig/chiral-base.gp
Normal file
22
figs/atoms.fig/chiral-base.gp
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@ -0,0 +1,22 @@
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set terminal pngcairo size 2048,2048
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set key off
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unset colorbox
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unset border
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unset xtics
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unset ytics
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unset ztics
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set parametric
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set view 80,10,1.5
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set view equal xyz
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set isosample 100
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set pm3d depthorder
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set pm3d lighting primary 0.50 specular 0.6
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set palette defined (0 "#339999", 1 "#339999")
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splot \
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102
figs/atoms.fig/chiral.py
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102
figs/atoms.fig/chiral.py
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@ -0,0 +1,102 @@
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#!/usr/bin/env python3
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from math import *
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import random
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import sys
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# size of space
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L=30
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# number of lines
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H=5
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# heigh of lines
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height=5
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# number of rods per line
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N=16
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# aspect ratio
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a=10
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# spread in theta angle
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spread_t=pi/60
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# in phi
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spread_p=pi/60
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# in height
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spread_h=1/120
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# check whether two rods overlap
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def check_overlap(rod1,rod2):
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# relative placement
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relative_pos=unrotate(subtract(rod2[0],rod1[0]), rod1[1])
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if(abs(relative_pos[0])<2 and abs(relative_pos[1])<2 and abs(relative_pos[2])<2):
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return(True)
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# relative angle
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relative_ang=cart_to_spherical(unrotate(spherical_to_cart(rod2[1]), rod1[1]))
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# exclusion volume
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# rotate other rod
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relative_pos=unrotate(relative_pos, [0,relative_ang[1]])
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#if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(relative_pos[2])-a-2<abs(cos(relative_ang[0])*a)):
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if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(sin(relative_ang[0])*relative_pos[2]-cos(relative_ang[0])*relative_pos[0])-2<abs(sin(relative_ang[0])*a)):
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return(True)
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return(False)
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# def subtract vectors
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def subtract(x,y):
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return([x[0]-y[0],x[1]-y[1],x[2]-y[2]])
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# rotate vector
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def unrotate(x,w):
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ret=[x[0],x[1],x[2]]
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# rotate phi
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tmp=cos(w[1])*ret[0]+sin(w[1])*ret[1]
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ret[1]=-sin(w[1])*ret[0]+cos(w[1])*ret[1]
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ret[0]=tmp
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# rotate theta
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tmp=cos(w[0])*ret[0]-sin(w[0])*ret[2]
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ret[2]=sin(w[0])*ret[0]+cos(w[0])*ret[2]
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ret[0]=tmp
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return(ret)
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# convert coordinates
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def spherical_to_cart(w):
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return([cos(w[1])*sin(w[0]),sin(w[1])*sin(w[0]),cos(w[0])])
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def cart_to_spherical(x):
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w=[0,0]
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w[0]=acos(x[2])
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if(sin(w[0]==0)):
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return([w[0],0])
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c=x[0]/sin(w[0])
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s=x[1]/sin(w[0])
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# to avoid truncation errors
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if(abs(c)>1 and abs(c)<1.0001):
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if(c>0):
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return([w[0],0])
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else:
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return([w[0],pi])
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if(s>=0):
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return([w[0],acos(c)])
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return([w[0],2*pi-acos(c)])
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# configuration
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config=[]
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# add rods
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for h in range(H):
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config_h=[]
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while len(config_h)<N:
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# random position and angles
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x=[random.uniform(0,L), random.uniform(0,L), random.gauss(h*height,spread_h)]
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w=[abs(random.gauss(pi/2,spread_t)), random.gauss(pi/2*(1-h/(H-1)),spread_p)]
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# chek it does not interfere with other rods
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fine=True
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for rod in config+config_h:
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if(check_overlap(rod,[x,w])):
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fine=False
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break
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if fine:
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config_h.append([x,w])
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config=config+config_h
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for i in range(len(config)):
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rod=config[i]
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print(str(rod[0][0])+"+("+str(cos(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(-sin(rod[1][1]))+")*sin(u)*sin(v)+("+str(cos(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
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print(str(rod[0][1])+"+("+str(sin(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][1]))+")*sin(u)*sin(v)+("+str(sin(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
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print(str(rod[0][2])+"+("+str(-sin(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][0])*a)+")*cos(v)", end=" ")
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print("with pm3d", end="")
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if i<len(config)-1:
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print(", \\")
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21
figs/atoms.fig/crystal-base.gp
Normal file
21
figs/atoms.fig/crystal-base.gp
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@ -0,0 +1,21 @@
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set terminal pngcairo size 2048,2048
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set key off
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unset colorbox
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unset border
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unset xtics
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unset ytics
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unset ztics
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set parametric
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set view equal xyz
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set isosample 100
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set pm3d depthorder
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set pm3d lighting primary 0.50 specular 0.6
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set palette defined (0 "#339999", 1"#339999")
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splot \
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24
figs/atoms.fig/crystal.py
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24
figs/atoms.fig/crystal.py
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@ -0,0 +1,24 @@
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#!/usr/bin/env python3
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from math import *
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import random
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import sys
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# size of lattice
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N=5
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# configuration
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config=[]
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for i in range(N):
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for j in range(N):
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for k in range(N):
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config.append([2*i+((j+k)%2),sqrt(3)*(j+(k%2)/3),2*sqrt(6)/3*k])
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for i in range(len(config)):
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print(str(config[i][0])+"+cos(u)*sin(v)", end=",")
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print(str(config[i][1])+"+sin(u)*sin(v)", end=",")
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print(str(config[i][2])+"+cos(v)", end=" ")
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print("with pm3d", end="")
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if i<len(config)-1:
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print(", \\")
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21
figs/atoms.fig/gas-base.gp
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21
figs/atoms.fig/gas-base.gp
Normal file
@ -0,0 +1,21 @@
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set terminal pngcairo size 2048,2048
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set key off
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unset colorbox
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||||
unset border
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unset xtics
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||||
unset ytics
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unset ztics
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set parametric
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set view equal xyz
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set isosample 100
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set pm3d depthorder
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set pm3d lighting primary 0.5 specular 0.6
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set palette defined (0 "#339999", 1"#339999")
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splot \
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39
figs/atoms.fig/gas.py
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39
figs/atoms.fig/gas.py
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@ -0,0 +1,39 @@
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#!/usr/bin/env python3
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from math import *
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import random
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# size of space
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L=15
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# number of particles
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N=6
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# check whether two rods overlap
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def check_overlap(sphere1,sphere2):
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if(sqrt((sphere2[0]-sphere1[0])**2+(sphere2[1]-sphere1[1])**2+(sphere2[2]-sphere1[2])**2)<2):
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return(True)
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return(False)
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# configuration
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config=[]
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# add spheres
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while len(config)<N:
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# random position
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x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
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# check it does not interfere with other spheres
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fine=True
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for sphere in config:
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if(check_overlap(sphere,x)):
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fine=False
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break
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if fine:
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config.append(x)
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for i in range(len(config)):
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sphere=config[i]
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print(str(sphere[0])+"+cos(u)*sin(v)", end=", ")
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print(str(sphere[1])+"+sin(u)*sin(v)", end=", ")
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print(str(sphere[2])+"+cos(v)", end=" ")
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print("with pm3d", end="")
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if i<len(config)-1:
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print(", \\")
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21
figs/atoms.fig/liquid-base.gp
Normal file
21
figs/atoms.fig/liquid-base.gp
Normal file
@ -0,0 +1,21 @@
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set terminal pngcairo size 2048,2048
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set key off
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unset colorbox
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unset border
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unset xtics
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||||
unset ytics
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unset ztics
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set parametric
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set view equal xyz
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set isosample 100
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set pm3d depthorder
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set pm3d lighting primary 0.50 specular 0.6
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set palette defined (0 "#339999", 1"#339999")
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splot \
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39
figs/atoms.fig/liquid.py
Normal file
39
figs/atoms.fig/liquid.py
Normal file
@ -0,0 +1,39 @@
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#!/usr/bin/env python3
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from math import *
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import random
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# size of space
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L=15
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# number of particles
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N=100
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# check whether two rods overlap
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def check_overlap(sphere1,sphere2):
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if(sqrt((sphere2[0]-sphere1[0])**2+(sphere2[1]-sphere1[1])**2+(sphere2[2]-sphere1[2])**2)<2):
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return(True)
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return(False)
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# configuration
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config=[]
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# add spheres
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while len(config)<N:
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# random position
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x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
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# check it does not interfere with other spheres
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fine=True
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for sphere in config:
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if(check_overlap(sphere,x)):
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fine=False
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break
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if fine:
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config.append(x)
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for i in range(len(config)):
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sphere=config[i]
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print(str(sphere[0])+"+cos(u)*sin(v)", end=", ")
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print(str(sphere[1])+"+sin(u)*sin(v)", end=", ")
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print(str(sphere[2])+"+cos(v)", end=" ")
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print("with pm3d", end="")
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if i<len(config)-1:
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print(", \\")
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21
figs/atoms.fig/nematic-base.gp
Normal file
21
figs/atoms.fig/nematic-base.gp
Normal file
@ -0,0 +1,21 @@
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set terminal pngcairo size 2048,2048
|
||||
|
||||
set key off
|
||||
unset colorbox
|
||||
unset border
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||||
unset xtics
|
||||
unset ytics
|
||||
unset ztics
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||||
|
||||
set parametric
|
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|
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set view equal xyz
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||||
|
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set isosample 100
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||||
|
||||
set pm3d depthorder
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set pm3d lighting primary 0.50 specular 0.6
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set palette defined (0 "#339999", 1 "#339999")
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splot \
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90
figs/atoms.fig/nematic.py
Normal file
90
figs/atoms.fig/nematic.py
Normal file
@ -0,0 +1,90 @@
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#!/usr/bin/env python3
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from math import *
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import random
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# size of space
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L=30
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# number of rods
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N=75
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# aspect ratio
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a=10
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# spread in theta angle
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spread=pi/30
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# check whether two rods overlap
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def check_overlap(rod1,rod2):
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# relative placement
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relative_pos=unrotate(subtract(rod2[0],rod1[0]), rod1[1])
|
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if(abs(relative_pos[0])<2 and abs(relative_pos[1])<2 and abs(relative_pos[2])<2):
|
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return(True)
|
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# relative angle
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relative_ang=cart_to_spherical(unrotate(spherical_to_cart(rod2[1]), rod1[1]))
|
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# exclusion volume
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# rotate other rod
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relative_pos=unrotate(relative_pos, [0,relative_ang[1]])
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#if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(relative_pos[2])-a-2<abs(cos(relative_ang[0])*a)):
|
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if(abs(relative_pos[1])<2 and abs(relative_pos[0])-2<abs(sin(relative_ang[0]))*a and abs(sin(relative_ang[0])*relative_pos[2]-cos(relative_ang[0])*relative_pos[0])-2<abs(sin(relative_ang[0])*a)):
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return(True)
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return(False)
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|
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# def subtract vectors
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def subtract(x,y):
|
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return([x[0]-y[0],x[1]-y[1],x[2]-y[2]])
|
||||
# rotate vector
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def unrotate(x,w):
|
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ret=[x[0],x[1],x[2]]
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# rotate phi
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tmp=cos(w[1])*ret[0]+sin(w[1])*ret[1]
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ret[1]=-sin(w[1])*ret[0]+cos(w[1])*ret[1]
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ret[0]=tmp
|
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# rotate theta
|
||||
tmp=cos(w[0])*ret[0]-sin(w[0])*ret[2]
|
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ret[2]=sin(w[0])*ret[0]+cos(w[0])*ret[2]
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ret[0]=tmp
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return(ret)
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# convert coordinates
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def spherical_to_cart(w):
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return([cos(w[1])*sin(w[0]),sin(w[1])*sin(w[0]),cos(w[0])])
|
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def cart_to_spherical(x):
|
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w=[0,0]
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w[0]=acos(x[2])
|
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if(sin(w[0]==0)):
|
||||
return([w[0],0])
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||||
c=x[0]/sin(w[0])
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||||
s=x[1]/sin(w[0])
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||||
# to avoid truncation errors
|
||||
if(abs(c)>1 and abs(c)<1.0001):
|
||||
if(c>0):
|
||||
return([w[0],0])
|
||||
else:
|
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return([w[0],pi])
|
||||
if(s>=0):
|
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return([w[0],acos(c)])
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return([w[0],2*pi-acos(c)])
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|
||||
# configuration
|
||||
config=[]
|
||||
# add rods
|
||||
while len(config)<N:
|
||||
# random position and angles
|
||||
x=[random.uniform(0,L), random.uniform(0,L), random.uniform(0,L)]
|
||||
w=[abs(random.gauss(0,spread)), random.uniform(0,2*pi)]
|
||||
# chek it does not interfere with other rods
|
||||
fine=True
|
||||
for rod in config:
|
||||
if(check_overlap(rod,[x,w])):
|
||||
fine=False
|
||||
break
|
||||
if fine:
|
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config.append([x,w])
|
||||
|
||||
for i in range(len(config)):
|
||||
rod=config[i]
|
||||
print(str(rod[0][0])+"+("+str(cos(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(-sin(rod[1][1]))+")*sin(u)*sin(v)+("+str(cos(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
|
||||
print(str(rod[0][1])+"+("+str(sin(rod[1][1])*cos(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][1]))+")*sin(u)*sin(v)+("+str(sin(rod[1][1])*sin(rod[1][0])*a)+")*cos(v)", end=", ")
|
||||
print(str(rod[0][2])+"+("+str(-sin(rod[1][0]))+")*cos(u)*sin(v)+("+str(cos(rod[1][0])*a)+")*cos(v)", end=" ")
|
||||
print("with pm3d", end="")
|
||||
if i<len(config)-1:
|
||||
print(", \\")
|
||||
38
figs/dimer_example.fig/Makefile
Normal file
38
figs/dimer_example.fig/Makefile
Normal file
@ -0,0 +1,38 @@
|
||||
PROJECTNAME=interaction boundary dimer_contour
|
||||
LIBS=$(notdir $(wildcard libs/*))
|
||||
|
||||
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
|
||||
SOURCES=$(addsuffix .tikz.tex, $(PROJECTNAME))
|
||||
|
||||
all: $(PDFS)
|
||||
|
||||
$(PDFS): $(SOURCES) $(LIBS)
|
||||
echo $(LIBS)
|
||||
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
|
||||
$(SOURCES):
|
||||
python3 dimer_conf.py
|
||||
|
||||
install: $(PDFS)
|
||||
cp $^ $(INSTALLDIR)/
|
||||
|
||||
install-sources: $(SOURCES)
|
||||
cp $^ $(INSTALLDIR)/
|
||||
|
||||
$(LIBS):
|
||||
ln -fs libs/$@ ./
|
||||
|
||||
clean-libs:
|
||||
rm -f $(LIBS)
|
||||
|
||||
clean-aux:
|
||||
rm -f $(addsuffix .aux, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .log, $(PROJECTNAME))
|
||||
|
||||
clean-tex:
|
||||
rm -f $(PDFS)
|
||||
|
||||
clean-sources:
|
||||
rm -f $(SOURCES)
|
||||
|
||||
clean: clean-libs clean-aux clean-tex clean-sources
|
||||
261
figs/dimer_example.fig/dimer_conf.py
Normal file
261
figs/dimer_example.fig/dimer_conf.py
Normal file
@ -0,0 +1,261 @@
|
||||
#!/usr/bin/env python3
|
||||
|
||||
import random
|
||||
from math import *
|
||||
|
||||
# size of the grid
|
||||
L=24
|
||||
# boundary thickness (must be even)
|
||||
l0=4
|
||||
# activity and interaction
|
||||
z=3
|
||||
J=5
|
||||
|
||||
|
||||
# draw random dimers in a select area
|
||||
def fill_dimers(mask,direction):
|
||||
if(direction=="h"):
|
||||
d=[1,0]
|
||||
else:
|
||||
d=[0,1]
|
||||
|
||||
dimers=[]
|
||||
|
||||
# keep track of which sites are occupied
|
||||
occupied=[]
|
||||
for i in range(L):
|
||||
occupied.append([])
|
||||
for j in range(L):
|
||||
occupied[i].append(0)
|
||||
|
||||
for i in range(10000):
|
||||
# pick a random edge (indexed by its lower-left corner)
|
||||
e=None
|
||||
while(e==None or e[0]+d[0]>=L or e[1]+d[1]>=L or mask[e[0]][e[1]]==0 or mask[e[0]+d[0]][e[1]+d[1]]==0):
|
||||
e=[random.randint(0,L-1),random.randint(0,L-1)]
|
||||
# check whether a dimer can be added to the edge
|
||||
if(occupied[e[0]][e[1]]==0 and occupied[e[0]+d[0]][e[1]+d[1]]==0):
|
||||
# number of interactions
|
||||
interactions=0
|
||||
if(e[0]+2*d[0]<L and e[1]+2*d[1]<L and occupied[e[0]+2*d[0]][e[1]+2*d[1]]==1):
|
||||
interactions=interactions+1
|
||||
if(e[0]-d[0]>=0 and e[1]-d[1]>=0 and occupied[e[0]-d[0]][e[1]-d[1]]==1):
|
||||
interactions=interactions+1
|
||||
# probability of adding the dimer
|
||||
p=1/(1+1/z*exp(-J*interactions))
|
||||
if(p>random.random()):
|
||||
# add dimer
|
||||
dimers.append(e)
|
||||
occupied[e[0]][e[1]]=1
|
||||
occupied[e[0]+d[0]][e[1]+d[1]]=1
|
||||
|
||||
return(dimers)
|
||||
|
||||
# find interactions
|
||||
def interactions(dimers,direction):
|
||||
if(direction=="h"):
|
||||
d=[1,0]
|
||||
else:
|
||||
d=[0,1]
|
||||
|
||||
out=[]
|
||||
for d1 in dimers:
|
||||
for d2 in dimers:
|
||||
if(d1[0]-d2[0]==2*d[0] and d1[1]-d2[1]==2*d[1]):
|
||||
out.append([d2[0]+d[0],d2[1]+d[1]])
|
||||
return(out)
|
||||
|
||||
# find interactions with boundary
|
||||
def boundary_interactions(dimers,rho):
|
||||
out=[]
|
||||
for d in dimers:
|
||||
for v in rho:
|
||||
if(d[0]==v[0] and d[1]==v[1]):
|
||||
out.append([d[0],d[1]-1])
|
||||
elif(d[0]==v[0] and d[1]==v[1]-1):
|
||||
out.append([d[0],d[1]+1])
|
||||
return(out)
|
||||
|
||||
|
||||
# draw dimers
|
||||
def draw_dimers(v_dimers,h_dimers,file_desc,color):
|
||||
for d in v_dimers:
|
||||
print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
|
||||
print("", file=file_desc)
|
||||
for d in h_dimers:
|
||||
print("\\dimer{[color="+color+"]("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
|
||||
print("", file=file_desc)
|
||||
|
||||
# draw interactions
|
||||
def draw_interactions(v_interactions,h_interactions,file_desc):
|
||||
for d in v_interactions:
|
||||
print("\\interaction{("+str(d[0])+","+str(d[1])+")}v", file=file_desc)
|
||||
print("", file=file_desc)
|
||||
for d in h_interactions:
|
||||
print("\\interaction{("+str(d[0])+","+str(d[1])+")}h", file=file_desc)
|
||||
print("", file=file_desc)
|
||||
|
||||
|
||||
# draw loops
|
||||
def draw_loops(loops,file_desc,color):
|
||||
for loop in loops:
|
||||
print("\\draw[color="+color+", line width=3pt]",end="",file=file_desc)
|
||||
for e in loop:
|
||||
print("("+str(e[0])+","+str(e[1])+")--",end="",file=file_desc)
|
||||
print("cycle;",file=file_desc)
|
||||
|
||||
# init tikz file
|
||||
def init_tikz(filename):
|
||||
file_desc=open(filename,"w")
|
||||
print("\\documentclass{standalone}\n\n\\usepackage{tikz}\n\\usepackage{dimer}\n\\usetikzlibrary{decorations.pathmorphing}\n\n\\begin{document}\n\\begin{tikzpicture}\n\n", file=file_desc)
|
||||
return(file_desc)
|
||||
|
||||
# close tikz file
|
||||
def close_tikz(file_desc):
|
||||
print("\\end{tikzpicture}\n\\end{document}", file=file_desc)
|
||||
file_desc.close()
|
||||
|
||||
|
||||
mu=int(L/2)
|
||||
|
||||
# loops
|
||||
loop1=[]
|
||||
for i in range(0,2*l0):
|
||||
loop1.append([mu-l0+i,mu+4.5])
|
||||
for i in range(0,4):
|
||||
loop1.append([mu+l0-1+0.5,mu+4-i])
|
||||
for i in range(0,l0):
|
||||
loop1.append([mu+l0+i,mu+0.5])
|
||||
for i in range(0,6):
|
||||
loop1.append([mu+2*l0-1+0.5,mu-i])
|
||||
for i in range(0,4*l0):
|
||||
loop1.append([mu+2*l0-1-i,mu-5.5])
|
||||
for i in range(0,6):
|
||||
loop1.append([mu-2*l0-0.5,mu-5+i])
|
||||
for i in range(0,l0):
|
||||
loop1.append([mu-2*l0+i,mu+0.5])
|
||||
for i in range(0,4):
|
||||
loop1.append([mu-l0-0.5,mu+1+i])
|
||||
# core of loop1
|
||||
core_loop1=[]
|
||||
for i in range(0,2*l0-4):
|
||||
core_loop1.append([mu-l0+2+i,mu+3.5])
|
||||
for i in range(0,3):
|
||||
core_loop1.append([mu+l0-3+0.5,mu+3-i])
|
||||
core_loop1.append([mu+l0-2,mu+0.5])
|
||||
core_loop1.append([mu+l0-1,mu+0.5])
|
||||
for i in range(0,l0-2):
|
||||
core_loop1.append([mu+l0+i,mu-1+0.5])
|
||||
for i in range(0,4):
|
||||
core_loop1.append([mu+2*l0-3+0.5,mu-1-i])
|
||||
for i in range(0,4*l0-4):
|
||||
core_loop1.append([mu+2*l0-3-i,mu-4.5])
|
||||
for i in range(0,4):
|
||||
core_loop1.append([mu-2*l0+2-0.5,mu-4+i])
|
||||
for i in range(0,l0-2):
|
||||
core_loop1.append([mu-2*l0+2+i,mu-1+0.5])
|
||||
core_loop1.append([mu-l0,mu+0.5])
|
||||
core_loop1.append([mu-l0+1,mu+0.5])
|
||||
for i in range(0,3):
|
||||
core_loop1.append([mu-l0+2-0.5,mu+1+i])
|
||||
|
||||
loop2=[[mu-1,mu+2.5],[mu-0.5,mu+2],[mu-0.5,mu+1],[mu-1,mu+0.5],[mu-1.5,mu+1],[mu-1.5,mu+2]]
|
||||
loop3=[[mu-1,mu-1.5],[mu,mu-1.5],[mu+0.5,mu-2],[mu+0.5,mu-3],[mu,mu-3.5],[mu-1,mu-3.5],[mu-1.5,mu-3],[mu-1.5,mu-2]]
|
||||
|
||||
|
||||
loops=[loop1,loop2,loop3]
|
||||
|
||||
# masks
|
||||
# init
|
||||
v_mask=[]
|
||||
h_mask=[]
|
||||
for i in range(L):
|
||||
v_mask.append([])
|
||||
h_mask.append([])
|
||||
for j in range(L):
|
||||
v_mask[i].append(1)
|
||||
h_mask[i].append(0)
|
||||
# draw masks
|
||||
for i in range(mu-l0,mu+l0):
|
||||
for j in range(mu+1,mu+5):
|
||||
v_mask[i][j]=0
|
||||
for i in range(mu-2*l0,mu+2*l0):
|
||||
for j in range(mu-5,mu+1):
|
||||
v_mask[i][j]=0
|
||||
for i in range(mu-l0+2,mu+l0-2):
|
||||
for j in range(mu+1,mu+4):
|
||||
h_mask[i][j]=1
|
||||
for i in range(mu-l0,mu+l0):
|
||||
h_mask[i][mu]=1
|
||||
for i in range(mu-2*l0+2,mu+2*l0-2):
|
||||
for j in range(mu-4,mu):
|
||||
h_mask[i][j]=1
|
||||
h_mask[mu-1][mu+1]=0
|
||||
h_mask[mu-1][mu+2]=0
|
||||
h_mask[mu-1][mu-3]=0
|
||||
h_mask[mu-1][mu-2]=0
|
||||
h_mask[mu][mu-3]=0
|
||||
h_mask[mu][mu-2]=0
|
||||
|
||||
# random dimers in mask
|
||||
v_dimers=fill_dimers(v_mask,"v")
|
||||
h_dimers=fill_dimers(h_mask,"h")
|
||||
|
||||
# mantle dimers
|
||||
h_mantle=[]
|
||||
for i in range(0,l0):
|
||||
h_mantle.append([mu-l0+2*i,mu+4])
|
||||
for i in range(0,4):
|
||||
h_mantle.append([mu+l0-2,mu+4-i])
|
||||
h_mantle.append([mu-l0,mu+4-i])
|
||||
for i in range(0,int(l0/2)):
|
||||
h_mantle.append([mu+l0+2*i,mu])
|
||||
h_mantle.append([mu-l0-2-2*i,mu])
|
||||
for i in range(0,5):
|
||||
h_mantle.append([mu+2*l0-2,mu-i])
|
||||
h_mantle.append([mu-2*l0,mu-i])
|
||||
for i in range(0,2*l0):
|
||||
h_mantle.append([mu-2*l0+2*i,mu-5])
|
||||
|
||||
v_mantle=[]
|
||||
v_mantle.append([mu-1,mu+1])
|
||||
v_mantle.append([mu-1,mu-3])
|
||||
v_mantle.append([mu,mu-3])
|
||||
|
||||
# interactions
|
||||
v_interactions=interactions(v_dimers+v_mantle,"v")
|
||||
h_interactions=interactions(h_dimers+h_mantle,"h")
|
||||
|
||||
# magnetized part of the boundary
|
||||
rho=[]
|
||||
for i in range(0,L):
|
||||
if(random.randint(0,1)==0):
|
||||
rho.append([i,0])
|
||||
if(random.randint(0,1)==0):
|
||||
rho.append([i,L-1])
|
||||
|
||||
|
||||
# files
|
||||
|
||||
interaction=init_tikz("interaction.tikz.tex")
|
||||
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=interaction)
|
||||
draw_interactions(v_interactions,h_interactions,interaction)
|
||||
draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,interaction,"black")
|
||||
close_tikz(interaction)
|
||||
|
||||
boundary=init_tikz("boundary.tikz.tex")
|
||||
print("\\fill[color=cyan](-0.5,-0.5)--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
|
||||
print("\\fill[color=cyan](-0.5,"+str(L-l0-0.5)+")--++("+str(L)+",0)--++(0,"+str(l0)+")--++("+str(-L)+",0)--cycle;", file=boundary)
|
||||
print("", file=boundary)
|
||||
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=boundary)
|
||||
draw_dimers(v_dimers+v_mantle,h_dimers+h_mantle,boundary,"black")
|
||||
close_tikz(boundary)
|
||||
|
||||
contour=init_tikz("dimer_contour.tikz.tex")
|
||||
print("\\grid{"+str(L-1)+"}{"+str(L-1)+"}{(0,0)}\n", file=contour)
|
||||
draw_loops([loop1,loop2,loop3],contour,"blue")
|
||||
draw_interactions(v_interactions,h_interactions,contour)
|
||||
draw_dimers(v_dimers,h_dimers,contour,"black")
|
||||
draw_dimers(v_mantle,h_mantle,contour,"black")
|
||||
close_tikz(contour)
|
||||
|
||||
1
figs/dimer_example.fig/libs/dimer.sty
Symbolic link
1
figs/dimer_example.fig/libs/dimer.sty
Symbolic link
@ -0,0 +1 @@
|
||||
../../libs/dimer.sty
|
||||
25
figs/libs/Makefile
Normal file
25
figs/libs/Makefile
Normal file
@ -0,0 +1,25 @@
|
||||
PROJECTNAME=$(basename $(basename $(wildcard *.tikz.tex)))
|
||||
LIBS=$(notdir $(wildcard libs/*))
|
||||
|
||||
PDFS=$(addsuffix .pdf, $(PROJECTNAME))
|
||||
|
||||
all: $(PDFS)
|
||||
|
||||
$(PDFS): $(LIBS)
|
||||
echo $(LIBS)
|
||||
pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@)
|
||||
|
||||
$(LIBS):
|
||||
ln -fs libs/$@ ./
|
||||
|
||||
clean-libs:
|
||||
rm -f $(LIBS)
|
||||
|
||||
clean-aux:
|
||||
rm -f $(addsuffix .aux, $(PROJECTNAME))
|
||||
rm -f $(addsuffix .log, $(PROJECTNAME))
|
||||
|
||||
clean-tex:
|
||||
rm -f $(PDFS)
|
||||
|
||||
clean: clean-libs clean-aux clean-tex
|
||||
33
figs/libs/dimer.sty
Normal file
33
figs/libs/dimer.sty
Normal file
@ -0,0 +1,33 @@
|
||||
% square lattice (width #1, height #2, origin #3)
|
||||
\def\grid#1#2#3{
|
||||
\foreach\i in {0,...,#2}{
|
||||
\draw#3++(0,\i)--++(#1,0);
|
||||
}
|
||||
\foreach\i in {0,...,#1}{
|
||||
\draw#3++(\i,0)--++(0,#2);
|
||||
}
|
||||
}
|
||||
|
||||
% dimer (bottom-left vertex #1, vertical or horizontal #2)
|
||||
\def\dimer#1#2{
|
||||
\if#2h
|
||||
\draw[line width=5pt]#1--++(1,0);
|
||||
\fill#1circle(7pt);
|
||||
\fill#1++(1,0)circle(7pt);
|
||||
\else
|
||||
\draw[line width=5pt]#1--++(0,1);
|
||||
\fill#1circle(7pt);
|
||||
\fill#1++(0,1)circle(7pt);
|
||||
\fi
|
||||
}
|
||||
|
||||
% interactions (bottom-left vertex #1, vertical or horizontal #2)
|
||||
\def\interaction#1#2{
|
||||
\if#2h
|
||||
\draw[line width=5pt, color=white]#1--++(1,0);
|
||||
\draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(1,0);
|
||||
\else
|
||||
\draw[line width=5pt, color=white]#1--++(0,1);
|
||||
\draw[line width=4pt, decorate, decoration={snake}, color=red]#1--++(0,1);
|
||||
\fi
|
||||
}
|
||||
1
figs/polymer_example.fig/Makefile
Symbolic link
1
figs/polymer_example.fig/Makefile
Symbolic link
@ -0,0 +1 @@
|
||||
../libs/Makefile
|
||||
1
figs/polymer_example.fig/libs/dimer.sty
Symbolic link
1
figs/polymer_example.fig/libs/dimer.sty
Symbolic link
@ -0,0 +1 @@
|
||||
../../libs/dimer.sty
|
||||
132
figs/polymer_example.fig/segments.tikz.tex
Normal file
132
figs/polymer_example.fig/segments.tikz.tex
Normal file
@ -0,0 +1,132 @@
|
||||
\documentclass{standalone}
|
||||
|
||||
\usepackage{tikz}
|
||||
\usepackage{dimer}
|
||||
|
||||
\begin{document}
|
||||
\begin{tikzpicture}
|
||||
|
||||
|
||||
%% mantles
|
||||
|
||||
% blue
|
||||
\fill[color=blue](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
|
||||
\fill[color=white](4,7.5)--++(9,0)--++(0.5,0.5)--++(0,6)--++(-0.5,0.5)--++(-9,0)--++(-0.5,-0.5)--++(0,-6)--cycle;
|
||||
% red
|
||||
\fill[color=red](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
|
||||
\fill[color=white](7,10.5)--++(2,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-2,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
|
||||
% teal
|
||||
\fill[color=teal](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
|
||||
\fill[color=white](11,20.5)--++(7,0)--++(0.5,-0.5)--++(0.5,-0.5)--++(1,0)--++(0.5,-0.5)--++(0,-9)--++(0.5,-0.5)--++(11,0)--++(0.5,0.5)--++(0,20)--++(-0.5,0.5)--++(-21,0)--++(-0.5,-0.5)--++(0,-9)--cycle;
|
||||
% magenta
|
||||
\fill[color=magenta](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
|
||||
\fill[color=white](14,23.5)--++(16,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-16,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
|
||||
% cyan
|
||||
\fill[color=cyan](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
|
||||
\fill[color=white](24,13.5)--++(5,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
|
||||
% orange
|
||||
\fill[color=orange](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
|
||||
\fill[color=white](17,24.5)--++(1,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-1,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
|
||||
% green
|
||||
\fill[color=green](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
|
||||
|
||||
|
||||
%% segments
|
||||
|
||||
\foreach \i in {0,...,1}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
|
||||
}
|
||||
\foreach \i in {2,...,8}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
|
||||
\draw[color=gray, line width=15pt](\i,15.5)--++(0,21);
|
||||
}
|
||||
\foreach \i in {9,...,15}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,7);
|
||||
\draw[color=gray, line width=15pt](\i,15.5)--++(0,4);
|
||||
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
|
||||
}
|
||||
\foreach \i in {16,...,18}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,20);
|
||||
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
|
||||
}
|
||||
\foreach \i in {19,...,34}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,9);
|
||||
\draw[color=gray, line width=15pt](\i,31.5)--++(0,5);
|
||||
}
|
||||
\foreach \i in {35,...,36}{
|
||||
\draw[color=gray, line width=15pt](\i,-0.5)--++(0,37);
|
||||
}
|
||||
|
||||
\draw[color=blue, line width=15pt](3.5,8)--++(10,0);
|
||||
\foreach \i in {9,...,14}{
|
||||
\draw[color=blue, line width=15pt](3.5,\i)--++(2,0);
|
||||
\draw[color=blue, line width=15pt](10.5,\i)--++(3,0);
|
||||
}
|
||||
|
||||
\foreach \i in {7,...,9}{
|
||||
\draw[color=red, line width=15pt](\i,10.5)--++(0,2);
|
||||
}
|
||||
|
||||
\foreach \i in {10,...,11}{
|
||||
\draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
|
||||
}
|
||||
\foreach \i in {12,...,17}{
|
||||
\draw[color=teal, line width=15pt](20.5,\i)--++(2,0);
|
||||
\draw[color=teal, line width=15pt](30.5,\i)--++(2,0);
|
||||
}
|
||||
\foreach \i in {18,...,19}{
|
||||
\draw[color=teal, line width=15pt](20.5,\i)--++(12,0);
|
||||
}
|
||||
\draw[color=teal, line width=15pt](18.5,20)--++(14,0);
|
||||
\draw[color=teal, line width=15pt](10.5,21)--++(22,0);
|
||||
\foreach \i in {22,...,29}{
|
||||
\draw[color=teal, line width=15pt](10.5,\i)--++(2,0);
|
||||
\draw[color=teal, line width=15pt](31.5,\i)--++(1,0);
|
||||
}
|
||||
\draw[color=teal, line width=15pt](10.5,30)--++(22,0);
|
||||
|
||||
\foreach \i in {24,...,29}{
|
||||
\draw[color=cyan, line width=15pt](\i,13.5)--++(0,2);
|
||||
}
|
||||
|
||||
\draw[color=magenta, line width=15pt](14,23.5)--++(0,4);
|
||||
\foreach \i in {21,...,22}{
|
||||
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
|
||||
}
|
||||
\foreach \i in {23,...,26}{
|
||||
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,1);
|
||||
\draw[color=magenta, line width=15pt](\i,26.5)--++(0,1);
|
||||
}
|
||||
\foreach \i in {27,...,30}{
|
||||
\draw[color=magenta, line width=15pt](\i,23.5)--++(0,4);
|
||||
}
|
||||
|
||||
\foreach \i in {25,...,26}{
|
||||
\draw[color=orange, line width=15pt](16.5,\i)--++(2,0);
|
||||
}
|
||||
|
||||
|
||||
|
||||
%% grid
|
||||
\grid{36}{36}{[color=lightgray](0,0)}
|
||||
|
||||
%% loops
|
||||
% blue
|
||||
\draw[color=black, line width=5pt](2,6.5)--++(13,0)--++(0.5,0.5)--++(0,8)--++(-0.5,0.5)--++(-13,0)--++(-0.5,-0.5)--++(0,-8)--cycle;
|
||||
% red
|
||||
\draw[color=black, line width=5pt](6,8.5)--++(4,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-4,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
|
||||
% teal
|
||||
\draw[color=black, line width=5pt](9,19.5)--++(9,0)--++(0.5,-0.5)--++(0,-10)--++(0.5,-0.5)--++(15,0)--++(0.5,0.5)--++(0,22)--++(-0.5,0.5)--++(-25,0)--++(-0.5,-0.5)--++(0,-11)--cycle;
|
||||
% magenta
|
||||
\draw[color=black, line width=5pt](13,21.5)--++(18,0)--++(0.5,0.5)--++(0,7)--++(-0.5,0.5)--++(-18,0)--++(-0.5,-0.5)--++(0,-7)--cycle;
|
||||
% cyan
|
||||
\draw[color=black, line width=5pt](23,11.5)--++(7,0)--++(0.5,0.5)--++(0,5)--++(-0.5,0.5)--++(-7,0)--++(-0.5,-0.5)--++(0,-5)--cycle;
|
||||
% orange
|
||||
\draw[color=black, line width=5pt](15,23.5)--++(5,0)--++(0.5,0.5)--++(0,3)--++(-0.5,0.5)--++(-5,0)--++(-0.5,-0.5)--++(0,-3)--cycle;
|
||||
%green
|
||||
\draw[color=black, line width=5pt](23,24.5)--++(3,0)--++(0.5,0.5)--++(0,1)--++(-0.5,0.5)--++(-3,0)--++(-0.5,-0.5)--++(0,-1)--cycle;
|
||||
|
||||
|
||||
\end{tikzpicture}
|
||||
\end{document}
|
||||
|
||||
Reference in New Issue
Block a user