CROSSOVER AND FINITE-SIZE EFFECTS IN THE (1 + 1)-DIMENSIONAL KARDAR-PARISI-ZHANG EQUATION

被引：22
|
作者：
FORREST, BM
TORAL, R
机构：
[1] Departament de Física, Universität de les Illes Balears, Palma de Mallorca
来源：
JOURNAL OF STATISTICAL PHYSICS | 1993年 / 70卷 / 3-4期
关键词：
SURFACE GROWTH; CROSSOVER EFFECTS; FINITE-SIZE SCALING; NUMERICAL INTEGRATION; STOCHASTIC DIFFERENTIAL EQUATIONS;
D O I：
10.1007/BF01053591
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Crossover scaling of the surface width in the Kardar Parisi-Zhang equation for surface growth is studied numerically. By means of a perturbative solution of the discretized equation and by comparison with the exact solution of the corresponding linear equation, the finite-size effects due to the spatial discretization are carefully analyzed. The dependence on the nonlinearity of both the finite-size and asymptotic scaling forms is then investigated.
引用
收藏
页码：703 / 720
页数：18
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