Fokker-Planck equation for lattice deposition models

被引：12
|
作者：
Baggio, C
Vardavas, R
Vvedensky, DD
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
[2] Univ Padua, Dipartimento Fis, I-35131 Padua, Italy
来源：
PHYSICAL REVIEW E | 2001年 / 64卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.64.045103
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
An asymptotically exact Fokker-Planck equation for the height fluctuations of lattice deposition models is derived from a Van Kampen expansion of the master equation. Using an Edwards-Wilkinson-type model as an example, the solution of the equivalent Langevin equation reproduces the surface roughness and lateral height correlations obtained with kinetic Monte Carlo (KMC) simulations. Our discrete equations of motion thereby provide an exact analytic and computational alternative to KMC simulations of these models.
引用
收藏
页码：4 / 451034
页数：4
相关论文
共 50 条
  • [31] Fokker-Planck equation for lattice vibration: Stochastic dynamics and thermal conductivity
    Zeng, Yi
    Dong, Jianjun
    PHYSICAL REVIEW B, 2019, 99 (01)
  • [32] A TRANSIENT SOLUTION OF THE FOKKER-PLANCK EQUATION
    EATON, CF
    AIAA JOURNAL, 1964, 2 (11) : 2033 - 2034
  • [33] SEQUENCE SOLUTION TO FOKKER-PLANCK EQUATION
    MAYFIELD, WW
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (02) : 165 - 176
  • [34] NUMERICAL SOLUTION OF FOKKER-PLANCK EQUATION
    KULSRUD, RM
    SUN, YC
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (10): : 1262 - 1262
  • [35] EIGENVALUES OF THE LORENTZ FOKKER-PLANCK EQUATION
    SHIZGAL, B
    JOURNAL OF CHEMICAL PHYSICS, 1979, 70 (04): : 1948 - 1951
  • [36] DERIVATION AND APPLICATION OF FOKKER-PLANCK EQUATION
    CAUGHEY, TK
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1962, 34 (12): : 2000 - &
  • [37] Fokker-Planck equation for fractional systems
    Tarasov, Vasily E.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 21 (06): : 955 - 967
  • [38] Copulas from the Fokker-Planck equation
    Choe, Hi Jun
    Ahn, Cheonghee
    Kim, Beom Jin
    Ma, Yong-Ki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (02) : 519 - 530
  • [39] Fokker-Planck equation on metric graphs
    Matrasulov, J.
    Sabirov, K.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2022, 608
  • [40] Approximate solution for Fokker-Planck equation
    Araujo, M. T.
    Drigo Filho, E.
    CONDENSED MATTER PHYSICS, 2015, 18 (04)
12345