### Abstract

We study alloy systems subjected to sustained particle irradiation, where short-ranged thermally assisted diffusion competes with the finite-ranged random atomic exchanges forced by irradiation. For the case of binary alloys undergoing phase separation, we introduce a kinetic continuum description of the evolution of the composition field under irradiation, with a self-consistent treatment of the composition fluctuations. We derive an analytical formula for the structure factor at steady state. In the limiting case of short-ranged ballistic jumps, this formula indicates that the effective temperature criterion originally derived by G. Martin [Phys. Rev. B 30, 1424 (1984)] applies not only to the driving force but to the fluctuations as well. In the case of finite-ranged ballistic jumps, however, the formula indicates that the concept of an effective temperature breaks down, but that one can make use of a more general approach involving effective atomic interactions. In particular, under appropriate irradiation conditions, finite-ranged ballistic jumps lead to finite-ranged effective interactions, which translate into the dynamical stabilization of finite-scale composition patterns.

Original language | English (US) |
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Article number | 224106 |

Pages (from-to) | 224106-1-224106-6 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 70 |

Issue number | 22 |

DOIs | |

State | Published - Dec 2004 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*70*(22), 224106-1-224106-6. [224106]. https://doi.org/10.1103/PhysRevB.70.224106