diff options
Diffstat (limited to 'figs/fig-susmag.gplot')
| -rw-r--r-- | figs/fig-susmag.gplot | 71 |
1 files changed, 64 insertions, 7 deletions
diff --git a/figs/fig-susmag.gplot b/figs/fig-susmag.gplot index 9682953..a2f4584 100644 --- a/figs/fig-susmag.gplot +++ b/figs/fig-susmag.gplot @@ -7,6 +7,8 @@ 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) @@ -14,14 +16,69 @@ 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 * Tc) -c0 = -0.012384 -lamb = 1.76962 -A2 = pi / 2 * (C0 / Tc - 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 ? 0.0037735 : 0 +lamb = 10.487 +B2 = B +A2 = 0.749317 + +#n = 2 +#c(i) = i == 1 ? -0.177238 : \ +# i == 2 ? -0.0545988 : 0 +#lamb = 3.14865 +#B2 = B +#A2 = 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 ? 0.00281829 : \ +# i == 2 ? 0.000632215 : \ +# i == 3 ? -0.0911689 : \ +# i == 4 ? 1.93584 : \ +# i == 5 ? -24.7397 : 0 +#lamb2 = 13.2489 +#B3 = B +#A3 = 0.845002 susfunc = "figs/fig-sus_scaling-func.dat" magfunc = "figs/fig-mag_scaling-func.dat" @@ -42,7 +99,7 @@ set mxtics 5 set mytics 5 set bmargin 0.2 -plot num using (X($2, $3)):(10**3 * $10 * t($2)**gamma):(10**3 * $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 / B):(10**(3+$2) * A2 * B**2 + 10**3 * poly(c0, lamb, 0, 10**$1)) with lines dt 2 lw 2 lc black +plot num using (X($2, $3)):(10**3 * $10 * t($2)**gamma):(10**3 * $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**$1 / B2)**(i-1) / Tc)) with lines dt 5 lw 2 lc black set bmargin -1 set tmargin 0.2 @@ -53,7 +110,7 @@ set ylabel offset 1,0 '$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) * Tc * A * B) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B):(M0 + 10**($2) * Tc * A2 * B + polyint(Tc * c0, lamb, 0, 10**$1) / B) smooth csplines with lines dt 2 lw 2 lc black +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) * Tc * A * B) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B2):(M0 + 10**($2) * Tc * A2 * B2 + (sum[i=1:n] polyint(Tc * 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) * Tc * A3 * B3 + (sum[i=1:n2] polyint(Tc * 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**$1 / B)**(i-1)) with lines dt 5 lw 2 lc black set logscale xy set tmargin -1 @@ -70,7 +127,7 @@ set xtics add ('$\footnotesize10^{-2}$' 10**(-2), "" 0.1, '$\footnotesize10^0$' set mytics 5 set ytics format '\footnotesize$10^{%T}$' 0.00001,10,0.01 -plot num using (X($2, $3)):($10 * t($2)**gamma):($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 / B):(10**$2 * A2 * B**2 + poly(c0, lamb, 0, 10**$1)) with lines dt 2 lw 2 lc black +plot num using (X($2, $3)):($10 * t($2)**gamma):($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**$1 / B)**(i-2) / Tc) with lines dt 5 lw 2 lc black unset logscale xy set logscale x @@ -81,5 +138,5 @@ set ylabel offset 4,0 '\footnotesize$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 + Tc * A * B * 10**$2) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B):(M0 + 10**($2) * Tc * A2 * B + polyint(Tc * c0, lamb, 0, 10**$1) / B) with lines dt 2 lw 2 lc black +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 + Tc * A * B * 10**$2) with linespoints pt 0 lw 2 lc black, magfunc using (10**$1 / B2):(M0 + 10**($2) * Tc * A2 * B2 + (sum[i=1:n] polyint(Tc * c(i), lamb, i-1, 10**$1)) / B2) with lines dt 2 lw 2 lc black, magfunc using (10**$1 / B3):(M0 + 10**($2) * Tc * A3 * B3 + (sum[i=1:n2] polyint(Tc * 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 |