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| -rw-r--r-- | essential-ising.tex | 3 | ||||
| -rw-r--r-- | essential-ising_prl.txt | 18 |
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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. + + |