TY - JOUR

T1 - Nonequilibrium transitions in driven AB3 compounds on the fcc lattice

T2 - A multivariate master-equation approach

AU - Haider, F.

AU - Bellon, P.

AU - Martin, G.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001749179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001749179&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.42.8274

DO - 10.1103/PhysRevB.42.8274

M3 - Article

AN - SCOPUS:0001749179

VL - 42

SP - 8274

EP - 8281

JO - Physical Review B

JF - Physical Review B

SN - 0163-1829

IS - 13

ER -