We study the effects of smooth inhomogeneities at first-order transitions. We show that a temperature gradient at a thermally driven first-order transition gives rise to nontrivial universal scaling behaviors with respect to the length scale l(t) of the variation of the local temperature T-x. We propose a scaling ansatz to describe the crossover region at the surface where T-x = T-c, where the typical discontinuities of a first-order transition are smoothed out. The predictions of this scaling theory are checked, and get strongly supported, by numerical results for the two-dimensional (2D) Potts models, for a sufficiently large number of states to have first-order transitions. Comparing with analogous results at the 2D Ising transition, we note that the scaling behaviors induced by a smooth inhomogeneity appear quite similar in first-order and continuous transitions.

Universal scaling effects of a temperature gradient at first-order transitions

BONATI, CLAUDIO;D'ELIA, MASSIMO;VICARI, ETTORE
2014

Abstract

We study the effects of smooth inhomogeneities at first-order transitions. We show that a temperature gradient at a thermally driven first-order transition gives rise to nontrivial universal scaling behaviors with respect to the length scale l(t) of the variation of the local temperature T-x. We propose a scaling ansatz to describe the crossover region at the surface where T-x = T-c, where the typical discontinuities of a first-order transition are smoothed out. The predictions of this scaling theory are checked, and get strongly supported, by numerical results for the two-dimensional (2D) Potts models, for a sufficiently large number of states to have first-order transitions. Comparing with analogous results at the 2D Ising transition, we note that the scaling behaviors induced by a smooth inhomogeneity appear quite similar in first-order and continuous transitions.
Bonati, Claudio; D'Elia, Massimo; Vicari, Ettore
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/755610
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