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.
|Autori:||Bonati, Claudio; D'Elia, Massimo; Vicari, Ettore|
|Titolo:||Universal scaling effects of a temperature gradient at first-order transitions|
|Anno del prodotto:||2014|
|Digital Object Identifier (DOI):||10.1103/PhysRevE.89.062132|
|Appare nelle tipologie:||1.1 Articolo in rivista|