set terminal pslatex rotate size 3.417,4.222 set multiplot Tc = 2 / log(1 + sqrt(2)) Delta = 15. / 8 gamma = 7. / 4 beta = 1. / 8 Ch = 0.838677624411 t(T) = abs((T - Tc) / T) h(T, H) = H / T X(T, H) = h(T, H) * t(T)**(-Delta) poly(A, l, m, X) = A * X**m / (1 + (l * X)**(m + 1)) polyint(A, l, m, X) = A * l**(-(m + 1)) * log(1 + (l * X)**(m + 1)) / (m + 1) G(i) = i == 1 ? -1.3578383417066 : \ i == 2 ? -0.048953289720 : \ i == 3 ? 0.038863932 : \ i == 4 ? -0.068362119 : \ i == 5 ? 0.18388370 : \ i == 6 ? -0.6591714 : \ i == 7 ? 2.937665 : \ i == 8 ? -15.61 : 0 GC(i) = G(i) * (2 * asinh(1))**2 * (Ch * (2 * asinh(1))**(-Delta))**i M0 = (2**2.5 * asinh(1))**0.125 B = Tc**2 * M0 / (16 * pi) C0 = 0.0255369719 A = pi / 2 * C0 / (B**2) #c0 = -0.012384 #lamb = 1.76962 #A2 = pi / 2 * (C0 / Tc - c0) / B**2 #c0 = 0 #lamb = 1 #B2 = 0.521944 #A2 = pi / 2 * C0 / (B2**2 * Tc) n = 1 c(i) = i == 1 ? 0.00856277 : 0 lamb = 10.487 B2 = B A2 = 1.70034 #n2 = 2 #c2(i) = i == 1 ? -0.177238 : \ # i == 2 ? -0.0545988 : 0 #lamb2 = 3.14865 #B3 = B #A3 = 18.8816 #n = 3 #c(i) = i == 1 ? 0.00280714 : \ # i == 2 ? -0.00243938 : \ # i == 3 ? -0.0140978 : 0 #lamb = 12.1954 #B2 = B #A2 = 0.846118 #n2 = 4 #c2(i) = i == 1 ? 0.00245324 : \ # i == 2 ? -0.00468448 : \ # i == 3 ? 0.0092602 : \ # i == 4 ? -0.536727 : 0 #lamb2 = 12.6068 #B3 = B #A3 = 0.88157 n2 = 5 c2(i) = i == 1 ? 0.00639522 : \ i == 2 ? 0.00143461 : \ i == 3 ? -0.206879 : \ i == 4 ? 4.39278 : \ i == 5 ? -56.1389 : 0 lamb2 = 13.2489 B3 = B A3 = 1.91747 susfunc = "figs/fig-sus_scaling-func.dat" magfunc = "figs/fig-mag_scaling-func.dat" num = "data/data_square-4096.dat" set samples 10000 set key off set size 1,1 - 0.52 set origin 0,0.52 set xrange [-40:1200] set yrange [-1:33] set ylabel offset 1,0 '$T_\c\chi|t|^{\gamma}\times 10^3$' set lmargin 6 set xtics format '' set mxtics 5 set mytics 5 set bmargin 0.2 plot num using (X($2, $3)):(10**3 * Tc * $10 * t($2)**gamma):(10**3 * Tc * $11 * t($2)**gamma):(hsv2rgb(20 * t($2), 1, 1)) with yerrorbars pt 0 lc rgb variable, susfunc using (10**$1 / B):(10**(3+$2) * A * B**2) with linespoints pt 0 lw 2 lc rgb "black", susfunc using (10**$1 / B2):(10**(3+$2) * A2 * B2**2 + 10**3 * (sum[i=1:n] poly(c(i), lamb, i-1, 10**$1))) with lines dt 2 lw 2 lc black, susfunc using (10**$1 / B2):(10**(3+$2) * A3 * B3**2 + 10**3 * (sum[i=1:n2] poly(c2(i), lamb2, i-1, 10**$1))) with lines dt 3 lw 2 lc black, susfunc using (10**$1 / B2):(-10**3 * (sum[i=1:7] GC(i + 1) * i * (i + 1) * (10**$1 / B2)**(i-1))) with lines dt 5 lw 2 lc black set bmargin -1 set tmargin 0.2 set size 1,0.52 set origin 0,0 set yrange [1.18:1.74] set ylabel offset 1,0 '$M|t|^{-\beta}$' set xlabel '$h|t|^{-\beta\delta}$' set xtics format '%g' plot num using (X($2, $3)):($6 * t($2)**(-beta)):($7 * t($2)**(-beta)):(hsv2rgb(20 * t($2), 1, 1)) with yerrorbars pt 0 lc rgb variable, magfunc using (10**$1 / B):(M0 + 10**($2) * A * B) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B2):(M0 + 10**($2) * A2 * B2 + (sum[i=1:n] polyint(c(i), lamb, i-1, 10**$1)) / B2) smooth csplines with lines dt 2 lw 2 lc black, magfunc using (10**$1 / B3):(M0 + 10**($2) * A3 * B3 + (sum[i=1:n2] polyint(c2(i), lamb2, i-1, 10**$1)) / B3) smooth csplines with lines dt 3 lw 2 lc black, magfunc using (10**$1 / B):(-sum[i=1:8] GC(i) * i * (10**$1 / B)**(i-1)) with lines dt 5 lw 2 lc black set logscale xy set tmargin -1 set lmargin -1 set size 0.65,0.325 set origin 0.31,0.5 + 0.29 / 2 set xrange [0.0015:1900] set yrange [0.00002:0.08] set ylabel offset 2.5,0 '\footnotesize$T_\c\chi|t|^\gamma$' set xlabel offset 0,0.5 '\footnotesize$h|t|^{-\beta\delta}$' set mxtics 5 set xtics format '' -2,10,1000 set xtics add ('$\footnotesize10^{-2}$' 10**(-2), "" 0.1, '$\footnotesize10^0$' 1, "" 10, '$\footnotesize10^2$' 100, "" 1000) set mytics 5 set ytics format '\footnotesize$10^{%T}$' 0.00001,10,0.01 plot num using (X($2, $3)):(Tc * $10 * t($2)**gamma):(Tc * $11 * t($2)**gamma):(hsv2rgb(20 * t($2), 1, 1)) with yerrorbars pt 0 lc rgb variable, susfunc using (10**$1 / B):(10**$2 * A * B**2) with linespoints pt 0 lw 2 lc rgb "black", susfunc using (10**$1 / B2):(10**$2 * A2 * B2**2 + (sum[i=1:n] poly(c(i), lamb, i-1, 10**$1))) with lines dt 2 lw 2 lc black, susfunc using (10**$1 / B3):(10**$2 * A3 * B3**2 + (sum[i=1:n2] poly(c2(i), lamb2, i-1, 10**$1))) with lines dt 3 lw 2 lc black, susfunc using (10**$1 / B):(-sum[i=2:8] GC(i) * i * (i-1) * (10**$1 / B)**(i-2)) with lines dt 5 lw 2 lc black unset logscale xy set logscale x set size 0.65,0.325 set origin 0.31,0.23 / 2 set yrange [1.18:1.74] set ylabel offset 4,0 '\footnotesize$M|t|^{-\beta}$' set ytics format '\footnotesize {%g}' 1.2,0.2,1.8 set mytics 5 plot num using (X($2, $3)):($6 * t($2)**(-beta)):($7 * t($2)**(-beta)):(hsv2rgb(20 * t($2), 1, 1)) with yerrorbars pt 0 lc rgb variable, magfunc using (10**$1 / B):(M0 + A * B * 10**$2) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B2):(M0 + 10**($2) * A2 * B2 + (sum[i=1:n] polyint(c(i), lamb, i-1, 10**$1)) / B2) with lines dt 2 lw 2 lc black, magfunc using (10**$1 / B3):(M0 + 10**($2) * A3 * B3 + (sum[i=1:n2] polyint(c2(i), lamb2, i-1, 10**$1)) / B2) with lines dt 3 lw 2 lc black, magfunc using (10**$1 / B):(-sum[i=1:8] GC(i) * i * (10 **$1 / B)**(i-1)) with lines dt 5 lw 2 lc black