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

✍ Scribed by V. Ruiz Barlett; J.J. Bigeón; M. Hoyuelos; H.O. Mártin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
480 KB
Volume
228
Category
Article
ISSN
0021-9991

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✦ Synopsis

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.

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