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.
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页码：4 / 451034
页数：4
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