Journal of Statistical Physics

, Volume 74, Issue 5–6, pp 1211–1225 | Cite as

Kinetic models of a binary alloy at zero temperature

  • P. L. Krapivsky
Articles

Abstract

We study theoretically two types of kinetic models of a binary alloy at zero temperature. In the phase separation model, a nearest-neighbor interchange can occur if the fraction of AB bonds (where A and B denote distinct species of atoms in a binary alloy) is thereby decreased. The crystallization model is defined by the opposite evolution rule. We examine these models in one dimension and obtain exact analytical results for the densities of domain walls, defects, and for a number of other correlators. Nonergodic zero-temperature dynamics leads to final states strongly dependent on initial conditions. For generalized models, in which nearest-neighbor interchange is also performed if the portion of AB bonds is not changed, a very rich kinetic behavior is observed.

Key Words

Phase separation crystallization binary alloy nonergodic processes 

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • P. L. Krapivsky
    • 1
  1. 1.Center for Polymer Studies and Department of PhysicsBoston UniversityBoston

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