Update to v0.1:
Fixed: removed discussion on k-nearest neighbor exclusion models which do not cover the lattice perfectly. Fixed: extra assumption: particle configurations are determined by their defects. Fixed: miscellaneous minor tweaks, formatting and typos. Added: discussion about Lee-Yang zeros and their relation to the high-fugacity expansion. Added: open problem: soft exclusion potentials. Added: extended bibliography. Changed: Particles in figures are now always centered on the lattice, not the dual lattice. Changed: improved Makefile.
This commit is contained in:
@ -5,9 +5,9 @@
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\begin{document}
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\begin{tikzpicture}
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\foreach \i in {0,...,3}{
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\foreach \j in {0,...,3}{
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\cross{green}{(-2*\j,\j)++(\i,2*\i)}
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\foreach \k in {0,...,3}{
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\foreach \l in {0,...,3}{
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\cross{cyan}{(-2*\l,\l)++(\k,2*\k)}
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}
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}
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\end{tikzpicture}
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@ -5,9 +5,9 @@
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\begin{document}
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\begin{tikzpicture}
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\foreach \i in {0,...,3}{
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\foreach \j in {0,...,3}{
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\cross{teal}{(-\j,2*\j)++(2*\i,\i)}
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\foreach \k in {0,...,3}{
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\foreach \l in {0,...,3}{
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\cross{cyan}{(-\l,2*\l)++(2*\k,\k)}
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}
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}
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\end{tikzpicture}
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@ -5,12 +5,12 @@
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\begin{document}
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\begin{tikzpicture}
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\foreach\i in {2,...,4}{
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\cross{cyan}{(2*\i,\i)}
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\cross{cyan}{(5,15)++(\i,-2*\i)}
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\foreach\k in {2,...,4}{
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\cross{cyan}{(2*\k,\k)}
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\cross{cyan}{(5,15)++(\k,-2*\k)}
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}
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\foreach\i in {1,...,3}{
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\cross{cyan}{(-5,10)++(2*\i,\i)}
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\foreach\k in {1,...,3}{
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\cross{cyan}{(-5,10)++(2*\k,\k)}
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}
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\cross{cyan}{(3,5)}
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\cross{cyan}{(5,9)}
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@ -5,6 +5,9 @@
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\begin{document}
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\begin{tikzpicture}
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\ttsquare{black}{(2,1)}
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\ttsquare{black}{(2,15)}
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\foreach\i in {0,...,8}{
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\ttsquare{teal}{(0,2*\i)}
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\ttsquare{teal}{(4,2*\i)}
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@ -15,10 +18,5 @@
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\ttsquare{green}{(2,2*\i+1)}
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}
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\square{black}{(1.5,1.5)}
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\square{black}{(2.5,1.5)}
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\square{black}{(1.5,14.5)}
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\square{black}{(2.5,14.5)}
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\end{tikzpicture}
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\end{document}
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@ -5,15 +5,15 @@
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\begin{document}
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\begin{tikzpicture}
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\foreach\i in {0,...,5}{
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\cross{teal}{(2*\i,\i)}
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\cross{teal}{(-\i,2*\i)}
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\cross{teal}{(-5,10)++(2*\i,\i)}
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\cross{teal}{(5,15)++(\i,-2*\i)}
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\foreach\k in {0,...,5}{
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\cross{teal}{(2*\k,\k)}
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\cross{teal}{(-\k,2*\k)}
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\cross{teal}{(-5,10)++(2*\k,\k)}
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\cross{teal}{(5,15)++(\k,-2*\k)}
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}
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\foreach\i in {0,...,2}{
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\foreach\j in {0,...,1}{
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\cross{green}{(3,5)++(\i,2*\i)++(-2*\j,\j)}
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\foreach\k in {0,...,2}{
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\foreach\l in {0,...,1}{
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\cross{green}{(3,5)++(\k,2*\k)++(-2*\l,\l)}
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}
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}
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\cross{green}{(-1,7)}
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@ -12,24 +12,38 @@
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% cross (color #1, position #2)
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\def\cross#1#2{
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\fill[color=#1]#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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\begin{scope}
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\clip#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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\grid44{[color=white]#2++(-2,-2)}
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\end{scope}
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\draw[color=black]#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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}
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% 1x1 square (color #1, position #2)
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\def\square#1#2{
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\fill[color=#1]#2++(-0.5,-0.5)--++(0,1)--++(1,0)--++(0,-1)--cycle;
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\draw[color=black]#2++(-0.5,-0.5)--++(0,1)--++(1,0)--++(0,-1)--cycle;
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\draw[color=white]#2++(-0.5,0)--++(1,0);
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\draw[color=white]#2++(0,-0.5)--++(0,1);
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}
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% 2x2 square (color #1, position #2)
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\def\ttsquare#1#2{
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\fill[color=#1]#2++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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\draw[color=black]#2++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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\draw[color=white]#2++(-1,0)--++(2,0);
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\draw[color=white]#2++(0,-1)--++(0,2);
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}
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\def\ttsquareempty#1{
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\draw[color=black]#1++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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}
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% diamond (color #1, position #2)
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\def\diamond#1#2{
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\fill[color=#1]#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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\begin{scope}
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\clip#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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\grid22{[color=white]#2++(-1,-1)}
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\end{scope}
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\draw[color=black]#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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}
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@ -5,7 +5,7 @@
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\begin{document}
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\begin{tikzpicture}
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\grid55{(-2.5,-2.5)}
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\grid44{(-2,-2)}
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\cross{cyan}{(0,0)}
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\end{tikzpicture}
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\end{document}
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