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
相关论文
共 50 条
  • [31] Effects of memory on scaling behaviour of Kardar-Parisi-Zhang equation
    唐刚
    郝大鹏
    夏辉
    韩奎
    寻之朋
    Chinese Physics B, 2010, (10) : 171 - 177
  • [32] Crossover effects in a discrete deposition model with Kardar-Parisi-Zhang scaling
    Chame, A
    Reis, FDAA
    PHYSICAL REVIEW E, 2002, 66 (05) : 6
  • [33] Unpredicted Scaling of the One-Dimensional Kardar-Parisi-Zhang Equation
    Fontaine, Come
    Vercesi, Francesco
    Brachet, Marc
    Canet, Leonie
    PHYSICAL REVIEW LETTERS, 2023, 131 (24)
  • [34] Zero tension Kardar-Parisi-Zhang equation in (d+1)-dimensions
    Bahraminasab, A
    Tabei, SMA
    Masoudi, AA
    Shahbazi, F
    Tabar, MRR
    JOURNAL OF STATISTICAL PHYSICS, 2004, 116 (5-6) : 1521 - 1544
  • [35] Stochastic model in the Kardar-Parisi-Zhang universality class with minimal finite size effects
    Ghaisas, SV
    PHYSICAL REVIEW E, 2006, 73 (02): : 1 - 4
  • [36] The 1D Kardar-Parisi-Zhang equation: Height distribution and universality
    Sasamoto, Tomohiro
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2016, 2016 (02):
  • [37] Anomaly in numerical integrations of the Kardar-Parisi-Zhang equation
    Lam, CH
    Shin, FG
    PHYSICAL REVIEW E, 1998, 57 (06): : 6506 - 6511
  • [38] Upper critical dimension of the Kardar-Parisi-Zhang equation
    Bhattacharjee, JK
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (05): : L93 - L96
  • [39] Upper critical dimension of the Kardar-Parisi-Zhang equation
    Schwartz, Moshe
    Perlsman, Ehud
    PHYSICAL REVIEW E, 2012, 85 (05):
  • [40] Exact Solution for the Stationary Kardar-Parisi-Zhang Equation
    Imamura, Takashi
    Sasamoto, Tomohiro
    PHYSICAL REVIEW LETTERS, 2012, 108 (19)
12345