summaryrefslogtreecommitdiff
path: root/ising_scaling.tex
diff options
context:
space:
mode:
authorjps6 <jps6@cornell.edu>2021-10-28 11:02:41 +0000
committernode <node@git-bridge-prod-0>2021-10-28 11:05:14 +0000
commit6c639ce6b3d27af70e98b0bc7326b03e16fc8a2b (patch)
tree8bbad576f856ff3e908fe97934f5aa9e10779143 /ising_scaling.tex
parent08245902c0300893e57438b105383bb3d4186d6e (diff)
downloadpaper-6c639ce6b3d27af70e98b0bc7326b03e16fc8a2b.tar.gz
paper-6c639ce6b3d27af70e98b0bc7326b03e16fc8a2b.tar.bz2
paper-6c639ce6b3d27af70e98b0bc7326b03e16fc8a2b.zip
Update on Overleaf.
Diffstat (limited to 'ising_scaling.tex')
-rw-r--r--ising_scaling.tex8
1 files changed, 5 insertions, 3 deletions
diff --git a/ising_scaling.tex b/ising_scaling.tex
index fb697d8..312958f 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -46,8 +46,10 @@ linkcolor=purple
the low- and high-temperature zero-field limits fixes the parametric
coordinate transformation. For the two-dimensional Ising model, we show that
this procedure converges exponentially with the order to which the series are
- matched, up to We speculate that with appropriately modified parametric
- coordinates, the method might also converge deep in the metastable phase.
+ matched, up to seven digits of accuracy.
+ To facilitate use, we provide Python and Mathematica implementations of the code at both lowest order (four digit) and high order (seven digit) accuracy.
+ We speculate that with appropriately modified parametric
+ coordinates, the method may converge even deep into the metastable phase.
\end{abstract}
\maketitle
@@ -98,7 +100,7 @@ With six derivatives, it is accurate to about $10^{-7}$. We hope that with some
refinement, this idea might be used to establish accurate scaling functions for
critical behavior in other universality classes, doing for scaling functions
what advances in conformal bootstrap did for critical exponents
-\cite{Gliozzi_2014_Critical}.
+\cite{Gliozzi_2014_Critical}. Mathematica and Python implementations will be provided in the supplemental material.
\section{Universal scaling functions}