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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. + + |