SIMULATION STUDIES OF THE FACETING TRANSITION IN A CUBIC ISING-MODEL

Citation
L. Jorgenson et R. Harris, SIMULATION STUDIES OF THE FACETING TRANSITION IN A CUBIC ISING-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3504-3515
Citations number
34
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
47
Issue
5
Year of publication
1993
Pages
3504 - 3515
Database
ISI
SICI code
1063-651X(1993)47:5<3504:SSOTFT>2.0.ZU;2-B
Abstract
The faceting transition of a crystal surface can be effectively simula ted by a ferromagnetic Ising model on a simple-cubic lattice. In this paper, we study a planar interface in a fully three-dimensional Ising model, as well as an isolated bulk inclusion or droplet. We also demon strate a method for identifying the faceting transition and compare it with the conventional techniques. Finally, we examine the effect of a driving force on the faceting transition of a droplet and the so-call ed dynamic or kinetic roughening of a moving planar interface. These r esults are compared with the current renormalization analysis of the f aceting transition.