Finite Size Effect in Lattice-BGK Models

Yue-Hong Qian () and Shiyi Chen ()
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Yue-Hong Qian: Department of Applied Physics, Columbia University, New York, NY 10027, USA
Shiyi Chen: IBM Research Division, T. J. Watson Research Center, P. O. Box 218, Yorktown Heights, NY 10598, USA

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 04, 763-771

Abstract: In this paper, we present numerical results of finite size effect in lattice-BGK models applied to liquid-gas phase transitions in one dimension. Several "pseudo-potentials" are used in simulations and the lattice size varies from 4 lattice sites to 4096 sites. Power law scaling is found and simple mean-field theory is used to explain the numerical finding.

Keywords: Phase Transition; Boltzmann Equation; BGK Models; Finite Size Effect (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000655

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