### 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 language | English (US) |
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Pages (from-to) | 8274-8281 |

Number of pages | 8 |

Journal | Physical Review B |

Volume | 42 |

Issue number | 13 |

DOIs | |

State | Published - Jan 1 1990 |

Externally published | Yes |

### ASJC Scopus subject areas

- Condensed Matter Physics

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## Cite this

*Physical Review B*,

*42*(13), 8274-8281. https://doi.org/10.1103/PhysRevB.42.8274