Differences between fixed time step and kinetic Monte Carlo methods for biased diffusion

被引：10

作者：

Ruiz Barlett, V. ^{[1
,3
]}

Bigeon, J. J. ^{[2
]}

Hoyuelos, M. ^{[1
,3
]}

Martin, H. O. ^{[1
,3
]}

机构：

[1] Univ Nacl Mar del Plata, CONICET, Inst Invest Fis Mar del Plata, RA-7600 Mar Del Plata, Argentina

[2] Univ Nacl Ctr Prov Buenos Aires, Fac Ciencias Exactas, RA-7000 Tandil, Argentina

[3] Univ Nacl Mar del Plata, Fac Ciencias Exactas & Nat, Dept Fis, RA-7600 Mar Del Plata, Argentina

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 16期

关键词：

Monte Carlo method; Diffusion; Random walk; SIMULATION; SYSTEMS;

D O I：

10.1016/j.jcp.2009.04.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider biased diffusion in a one-dimensional lattice and compare results obtained with fixed time step and kinetic Monte Carlo methods. Spurious dispersion and particle position correlation appear with the fixed time step Monte Carlo approach. The mentioned correlation increases with time. We demonstrate that the correct results, that correspond to a time step that tends to zero, are obtained using the kinetic Monte Carlo method. The conclusions also apply to biased diffusion in two or more dimensions and to random deposition. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：5740 / 5748

页数：9

共 14 条

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