Update to v0.2:
Added: Comparison of the energy for two different potentials that share the same scattering length and integral (new figure). Added: Lee-Huang-Yang prediction in figures. Fixed: Wrong exponent in definition of correlation function. Added: More precise comparison of the big equation prediction for the hard core potential (new figure). Changed: Miscellaneous minor fixes and clarifications.
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36
figs/hardcore.fig/hardcore_compare.gnuplot
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36
figs/hardcore.fig/hardcore_compare.gnuplot
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set ylabel "energy relative error"
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set xlabel "$\\rho$"
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set xtics 1e-6, 100, 1
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set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0)
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unset mxtics
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set xrange [1e-9:sqrt(2)]
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set ytics 1e-5, 10, 10
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set ytics add ("$10^{-5}$" 1e-5, "$10^{-4}$" 1e-4, "$10^{-3}$" 1e-3, "$10^{-2}$" 1e-2, "$10^{-1}$" 1e-1, "$10^{0}$" 1, "$10^1$" 10)
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#unset mytics
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# default output canvas size: 12.5cm x 8.75cm
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set term lua tikz size 8,6 standalone
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set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
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# set linestyle
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set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
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set style line 2 linetype rgbcolor "#DC143C" linewidth 2
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set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
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set style line 4 linetype rgbcolor "#4B0082" linewidth 2
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set style line 5 linetype rgbcolor "#DAA520" linewidth 2
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set style line 6 linetype rgbcolor "#999999" linewidth 2
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set pointsize 1
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set logscale xy
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plot \
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"simpleq-compare.dat" using 1:($3<1e-2 ? 2*abs($5/2-$2)/$5 : 1/0) with lp ls 4 title "simple hc",\
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"simpleq_soft-compare.dat" using 1:($3<1e-2 ? 2*abs($5/2-$2)/$5 : 1/0) with lp ls 1 title "simple",\
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"mueq_soft-compare.dat" using 1:($3<1e-2 ? 2*abs($5/2-$2)/$5 : 1/0) with lp ls 3 title "med",\
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"bigeq_soft-compare.dat" using 1:($3<1e-2 ? 2*abs($5/2-$2)/$5 : 1/0) with lp ls 5 title "big"
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