Nonequilibrium transitions in driven AB3 compounds on the fcc lattice: A multivariate master-equation approach

F. Haider, P. Bellon, G. Martin

Research output: Contribution to journalArticle

Abstract

We studied the order-disorder transition in an Ising-type alloy on a fcc lattice with AB3 stoichiometry with atomic exchanges due to two competing processes: thermally activated jumps and ballistic jumps, as, for example, is the case under irradiation with high-energy particles. The latter favor disordered configurations, while the former tend to restore a certain degree of order. The state of order is described by a four-dimensional parameter, the occupation of the four simple cubic sublattices into which the fcc lattice may be decomposed. In a mean-field approximation the kinetic equations for the evolution of this order parameter can be found. For a stochastic description, the master equation for the probability of a given state of order is approximated using Kubos ansatz. The resulting partial differential equation is solved taking advantage of symmetry properties of the order-parameter space. A dynamical-equilibrium phase diagram is constructed, and it is shown that new phases, not found under thermal conditions, can be stabilized for a certain model for the saddle-point energy of the thermal jumps.

Original languageEnglish (US)
Pages (from-to)8274-8281
Number of pages8
JournalPhysical Review B
Volume42
Issue number13
DOIs
StatePublished - Jan 1 1990
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

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