From 39f69b5fa3db2024fbb837598be1249b3a35c3fd Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 28 Oct 2021 17:37:30 +0200
Subject: Spell check and added a reference.

---
 ising_scaling.bib | 16 ++++++++++++++++
 ising_scaling.tex | 10 ++++++----
 2 files changed, 22 insertions(+), 4 deletions(-)

diff --git a/ising_scaling.bib b/ising_scaling.bib
index a971fbd..4185f2f 100644
--- a/ising_scaling.bib
+++ b/ising_scaling.bib
@@ -341,3 +341,19 @@
 }
 
 
+info: 'Griffiths_1967' has been autocompleted into 'Griffiths_1967_Thermodynamic'.
+@article{Griffiths_1967_Thermodynamic,
+ author = {Griffiths, Robert B.},
+ title = {Thermodynamic Functions for Fluids and Ferromagnets near the Critical Point},
+ journal = {Physical Review},
+ publisher = {American Physical Society (APS)},
+ year = {1967},
+ month = {6},
+ number = {1},
+ volume = {158},
+ pages = {176--187},
+ url = {https://doi.org/10.1103%2Fphysrev.158.176},
+ doi = {10.1103/physrev.158.176}
+}
+
+
diff --git a/ising_scaling.tex b/ising_scaling.tex
index 8488f9d..2b1fb62 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -171,7 +171,7 @@ use $\xi=u_h|u_t|^{-\Delta}$ and $\eta=u_t|u_h|^{-1/\Delta}$.
 The analyticity of the free energy at places away from the critical point
 implies that the functions $\mathcal F_\pm$ and $\mathcal F_0$ have power-law
 expansions of their arguments about zero, the result of so-called Griffiths
-analyticity. For instance, when $u_t$ goes to zero for nonzero $u_h$ there is
+analyticity \cite{Griffiths_1967_Thermodynamic}. For instance, when $u_t$ goes to zero for nonzero $u_h$ there is
 no phase transition, and the free energy must be an analytic function of its
 arguments. It follows that $\mathcal F_0$ is analytic about zero. This is not
 the case at infinity: since
@@ -896,7 +896,7 @@ values of both are plotted.
     Free parameters in the fit of the parametric coordinate transformation and
     scaling form to known values of the scaling function series coefficients
     for $\mathcal F_\pm$. The fit at stage $n$ matches those coefficients up to
-    and including order $n$. Error estimates are difficult to quantify directly.
+    and including order $n$. Uncertainty estimates are difficult to quantify directly.
   } \label{tab:fits}
 \end{table}
 
@@ -1013,7 +1013,7 @@ Fig.~\ref{fig:phi.series}.
     The series coefficients for the scaling function $\mathcal F_-$ as a
     function of polynomial order $m$. The numeric values are from Table
     \ref{tab:data}, and those of Caselle \textit{et al.} are from the most
-    accurate scaling function listed in \cite{Caselle_2001_The}. The deviation at high polynomial order illustrates the lack of the essential singularity in Caselle's form.
+    accurate scaling function listed in \cite{Caselle_2001_The}. The deviation at high polynomial order illustrates the lack of the essential singularity in the form of Caselle \textit{et al.}.
   } \label{fig:glow.series}
 \end{figure}
 
@@ -1186,7 +1186,9 @@ the ratio.
     Sequential ratios of the series coefficients of the scaling function
     $\mathcal F_-$ as a function of inverse polynomial order $m$. The
     extrapolated $y$-intercept of this plot gives the radius of convergence of
-    the series, which should be zero due to the essential singularity (as seen in the known numeric values and in this work). Cassel {\em et al} do not incorporate the essential singularity.
+    the series, which should be zero due to the essential singularity (as seen
+    in the known numeric values and in this work). Caselle \textit{et al.} do
+    not incorporate the essential singularity.
   } \label{fig:glow.radius}
 \end{figure}
 
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