Phase Transition and Surface Sublimation of a Mobile Potts Model

Document Type

Article

Publication Date

10-29-2015

Publication Title

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Abstract

© 2015 American Physical Society. We study in this paper the phase transition in a mobile Potts model by the use of Monte Carlo simulation. The mobile Potts model is related to a diluted Potts model, which is also studied here by a mean-field approximation. We consider a lattice where each site is either vacant or occupied by a q-state Potts spin. The Potts spin can move from one site to a nearby vacant site. In order to study the surface sublimation, we consider a system of Potts spins contained in a recipient with a concentration c defined as the ratio of the number of Potts spins Ns to the total number of lattice sites NL=Nx×Ny×Nz. Taking into account the attractive interaction between the nearest-neighboring Potts spins, we study the phase transitions as functions of various physical parameters such as the temperature, the shape of the recipient, and the spin concentration. We show that as the temperature increases, surface spins are detached from the solid phase to form a gas in the empty space. Surface order parameters indicate different behaviors depending on the distance to the surface. At high temperatures, if the concentration is high enough, the interior spins undergo a first-order phase transition to an orientationally disordered phase. The mean-field results are shown as functions of temperature, pressure, and chemical potential, which confirm in particular the first-order character of the transition.

Comments

A.B.R. acknowledges financial support from CNRS. M.K.is grateful for a visiting professorship’s grant from theUniversity of Cergy-Pontoise.

DOI

10.1103/PhysRevE.92.042160

Volume

92

Issue

4

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