added prl statement, shout-out at Langer for being so cool

2 files changed, 20 insertions, 1 deletions

diff --git a/essential-ising.tex b/essential-ising.tex
index 4673847..0c42b65 100644
--- a/essential-ising.tex
+++ b/essential-ising.tex
@@ -388,7 +388,8 @@ equation of state of the Ising model in the whole of its parameter space.
 
 \begin{acknowledgments}
   The authors would like to thank Tom Lubensky, Andrea Liu, and Randy Kamien
-  for helpful conversations. This work was partially supported by NSF grant
+  for helpful conversations. We would also like to thank Jim Langer for his
+  insightful canonical papers on this subject. This work was partially supported by NSF grant
   DMR-1312160.
 \end{acknowledgments}
 
diff --git a/essential-ising_prl.txt b/essential-ising_prl.txt
new file mode 100644
index 0000000..41039c1
--- /dev/null
+++ b/essential-ising_prl.txt
@@ -0,0 +1,18 @@
+
+The renormalization group and the scaling theories that result from its use
+have become essential to our understanding of singular behavior in
+thermodynamic functions at continuous phase transitions. Despite this, they
+have long been viewed as irrelevant to the quantitative study of abrupt phase
+transitions, and likewise the presence of an abrupt phase transition has
+typically been considered irrelevant to scaling analysis. Our work
+demonstrates, for one common model with both a continuous and a
+line of abrupt transitions, that well-known singularities in thermodynamic
+functions at the abrupt transition long assumed to be unobservable are in fact
+part of the scaling theory of the critical point, and make explicit
+predictions confirmed by numerics. This result indicates that many published
+statistical models whose abrupt transitions were not incorporated into scaling
+theories should be revisited, and introduces a novel new method for
+determining new universal scaling properties in previously poorly-understood
+regimes.
+
+