Low-and high-dimension limits of a phase separation model

Journal Article (Journal Article)

We study a simple zero-temperature model for phase separation of a binary alloy, in which nearest-neighbor interchange can occur if the fraction of AB pairs is not thereby increased. We present analytic results for the one-dimensional case and numerical results for the infinite dimensionality limit on a Cayley tree. In neither limit does the final fraction of AB pairs agree with the dimension-independent result found previously in d=3, 4, 5. © 1985 Plenum Publishing Corporation.

Full Text

Duke Authors

Cited Authors

  • Palmer, RG; Frisch, HL

Published Date

  • March 1, 1985

Published In

Volume / Issue

  • 38 / 5-6

Start / End Page

  • 867 - 872

Electronic International Standard Serial Number (EISSN)

  • 1572-9613

International Standard Serial Number (ISSN)

  • 0022-4715

Digital Object Identifier (DOI)

  • 10.1007/BF01010420

Citation Source

  • Scopus