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

被引：23

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

页码：703 / 720

页数：18

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