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| -rw-r--r-- | ising_scaling.tex | 70 |
1 files changed, 60 insertions, 10 deletions
diff --git a/ising_scaling.tex b/ising_scaling.tex index 9bd22af..03a6bf1 100644 --- a/ising_scaling.tex +++ b/ising_scaling.tex @@ -353,27 +353,77 @@ entirely fixed, and it will be truncated at finite order. g4 = 0.0000262629 g5 = -0.00000109745 + f(t) = 1-t**2 g(t) = (1-(t/t0)**2)*(g0*t + g1*t**3 + g2*t**5 + g3*t**7 + g4*t**9 + g5*t**11) + del = 15.0/8.0 set xlabel '$u_t$' set ylabel '$u_h$' - set key left bottom reverse title '\raisebox{1em}{$R$}' + unset key - set xzeroaxis - set yzeroaxis + set xrange [-4.5:4.5] + set yrange [-3.5:3.5] set parametric + set style data lines set trange [-t0:t0] - plot \ - (1-t**2),g(t) title '$1$', \ - 2*(1-t**2),2*g(t) title '$2$', \ - 4*(1-t**2),4*g(t) title '$4$' + plot sample \ + [-t0:t0:0.001] '+' u (0.5*f($1)):(0.5*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (f($1)):(g($1)) lc black , \ + [-t0:t0:0.001] '+' u (1.5*f($1)):(1.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (2*f($1)):(2**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (2.5*f($1)):(2.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (3*f($1)):(3**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (3.5*f($1)):(3.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (4*f($1)):(4**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (4.5*f($1)):(4.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (5*f($1)):(5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (5.5*f($1)):(5.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (6*f($1)):(6**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (6.5*f($1)):(6.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (7*f($1)):(7**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (7.5*f($1)):(7.5**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (8*f($1)):(8**del*g($1)) lc black , \ + [-t0:t0:0.001] '+' u (8.5*f($1)):(8.5**del*g($1)) lc black , \ + [0:20:0.1] '+' u ($1*f(0)):($1**del*g(0)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(t0/16)):($1**del*g(t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(2*t0/16)):($1**del*g(2*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(3*t0/16)):($1**del*g(3*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(4*t0/16)):($1**del*g(4*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(5*t0/16)):($1**del*g(5*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(6*t0/16)):($1**del*g(6*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(7*t0/16)):($1**del*g(7*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(8*t0/16)):($1**del*g(8*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(9*t0/16)):($1**del*g(9*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(10*t0/16)):($1**del*g(10*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(11*t0/16)):($1**del*g(11*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(12*t0/16)):($1**del*g(12*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(13*t0/16)):($1**del*g(13*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(14*t0/16)):($1**del*g(14*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(15*t0/16)):($1**del*g(15*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(16*t0/16)):($1**del*g(16*t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(-t0/16)):($1**del*g(-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(2*-t0/16)):($1**del*g(2*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(3*-t0/16)):($1**del*g(3*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(4*-t0/16)):($1**del*g(4*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(5*-t0/16)):($1**del*g(5*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(6*-t0/16)):($1**del*g(6*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(7*-t0/16)):($1**del*g(7*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(8*-t0/16)):($1**del*g(8*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(9*-t0/16)):($1**del*g(9*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(10*-t0/16)):($1**del*g(10*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(11*-t0/16)):($1**del*g(11*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(12*-t0/16)):($1**del*g(12*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(13*-t0/16)):($1**del*g(13*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(14*-t0/16)):($1**del*g(14*-t0/16)) dt 2 lc black , \ + [0:20:0.1] '+' u ($1*f(15*-t0/16)):($1**del*g(15*-t0/16)) dt 2 lc black , \ \end{gnuplot} \caption{ - Example of the parametric coordinates. Lines are of constant $R$ from - $-\theta_0$ to $\theta_0$ for $g(\theta)$ taken from the $n=6$ entry of - Table \ref{tab:fits}. {\color{blue} \bf XXX Can we have lines of constant $\theta$ as well? Maybe dashed? Also maybe smaller radii, $R=1/4$, 1/2, and 1?} + Example of the parametric coordinates. Solid lines are of constant + $R=\frac12,1,\ldots,8\frac12$ and dashed lines are of constant + $\theta=\pm0\theta_0,\frac1{16}\theta_0,\ldots,\theta_0$ for $g(\theta)$ taken + from the $n=6$ entry of Table \ref{tab:fits}. } \label{fig:schofield} \end{figure} |