English

A Model for Growth of Binary Alloys with Fast Surface Equilibration

Statistical Mechanics 2009-10-28 v1

Abstract

We study a simple growth model for (d+1)-dimensional films of binary alloys in which atoms are allowed to interact and equilibrate at the surface, but are frozen in the bulk. The resulting crystal is highly anisotropic: Correlations perpendicular to the growth direction are identical to a d-dimensional two-layer system in equilibrium, while parallel correlations generally reflect the (Glauber) dynamics of such a system. For stronger in-plane interactions, the correlation volumes change from oblate to highly prolate shapes near a critical demixing or ordering transition. In d=1, the critical exponent z relating the scaling of the two correlation lengths varies continuously with the chemical interactions.

Keywords

Cite

@article{arxiv.cond-mat/9610014,
  title  = {A Model for Growth of Binary Alloys with Fast Surface Equilibration},
  author = {Barbara Drossel and Mehran Kardar},
  journal= {arXiv preprint arXiv:cond-mat/9610014},
  year   = {2009}
}

Comments

7 pages RevTeX, 5 postscript figures

R2 v1 2026-07-22T11:54:49.649Z