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

  • Authors:

  • V. Ruiz Barlett;J. J. Bigeón;M. Hoyuelos;H. O. Mártin

  • Affiliations:

  • Instituto de Investigaciones Físicas de Mar del Plata (CONICET-UNMdp) y Departamento de Fısica, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 335 ...;Facultad Ciencias Exactas, Universidad Nacional del Centro de la Provincia de Buenos Aires, Paraje Arroyo Seco s/n, 7000 Tandil, Argentina;Instituto de Investigaciones Físicas de Mar del Plata (CONICET-UNMdp) y Departamento de Fısica, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 335 ...;Instituto de Investigaciones Físicas de Mar del Plata (CONICET-UNMdp) y Departamento de Fısica, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 335 ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2009

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Abstract

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.