HYPERCUBE STACKING - A POTTS-SPIN MODEL FOR SURFACE GROWTH

被引：32

作者：

FORREST, BM ^{[1
]}

TANG, LH ^{[1
]}

机构：

[1] FORSCHUNGSZENTRUM JULICH, FORSCHUNGSZENTRUM, INST FESTKORPERFORSCH, W-5170 JULICH 1, GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 60卷 / 1-2期

关键词：

multisite coding; Potts model; solid-on-solid constraint; Surface growth; vectorization;

D O I：

10.1007/BF01013673

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a deposition and evaporation model for surface growth under a solid-on-solid constraint. We generalize the Ising-spin representation of a two-dimensional surface by Blöte and Hilhorst to a d-dimensional surface of a (d+1)-dimensional hypercubic lattice. The allowed surface configurations correspond to the (degenerate) ground states of a chiral d-state Potts model. We describe a vectorized multisite-coding implementation for the corresponding kinetic Potts-spin model for d=2 and d=3. For the d=2 equilibrium surface our simulation results show excellent agreement with an exact analysis. © 1990 Plenum Publishing Corporation.

引用

页码：181 / 202

页数：22

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