diff options
Diffstat (limited to 'essential-ising.tex')
| -rw-r--r-- | essential-ising.tex | 16 |
1 files changed, 13 insertions, 3 deletions
diff --git a/essential-ising.tex b/essential-ising.tex index cbb9866..2d8af31 100644 --- a/essential-ising.tex +++ b/essential-ising.tex @@ -163,7 +163,7 @@ ansatz, yielding for {\sc 4d}. At the level of truncation we are working at, the Kramers--Kronig relation does not converge in {\sc 2d}. However, the higher moments can still be -extract, e.g., the susceptibility, by taking +extracted, e.g., the susceptibility, by taking \[ \chi\propto\pd[2]Fh =\frac2\pi\int_{-\infty}^\infty\frac{\im F(t,h')}{(h'-h)^3}\,\dd h' @@ -202,12 +202,22 @@ in the insets of those figures. As can be seen, there is very good agreement between our proposed functional forms and what is measured. \begin{figure} - \caption{Fit of scaling form \eqref{eq:sus_scaling} to numeric data.} + \includegraphics{figs/fig_sus-collapse} + \caption{Fit of scaling form \eqref{eq:sus_scaling} to numeric data from a + $L=1024$ square-lattice Ising model. +Different colored points show different values of $t$, which vary from +$0.01$, $0.02$, \dots, $0.1$. Solid black line shows fitted form, with +$C=0.0107\pm0.0011$ and $B=0.172\pm0.036$.} \label{fig:sus} \end{figure} \begin{figure} - \caption{Fit of scaling form \eqref{eq:mag_scaling} to numeric data.} + \includegraphics{figs/fig_mag-collapse} + \caption{Fit of scaling form \eqref{eq:mag_scaling} to numeric data from a +$L=1024$ square-lattice Ising model. Different colored points show different +values of $t$, which vary from $0.01$, $0.02$, \dots, $0.1$. Solid black lines +shows fitted form, with $\mathcal M(0)=1.21055\pm0.00031$, +$D=0.09440\pm0.00033$, and $B=0.085249\pm0.00099$.} \label{fig:mag} \end{figure} |