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Simulation of Diffusion in Lattice Gases and Related Kinetic Phenomena

  • Chapter
Applications of the Monte Carlo Method in Statistical Physics

Part of the book series: Topics in Current Physics ((TCPHY,volume 36))

Abstract

This chapter reviews various Monte Carlo studies of dynamical properties of lattice gas models, which serve to simulate self-diffusion of tagged particles in interstitial and substitutional alloys, surface diffusion of adsorbate atoms in adsorbed monolayers, etc. These systems serve as archetypical models of order-disorder and unmixing phase transitions, and are well suited to study the basic aspects of associated kinetic phenomena near equilibrium as well as far from equilibrium, such as nucleation of ordered domains from a disordered phase, their diffusion-controlled growth, coarsening of domain structures by diffusion of domain walls, etc. Earlier Monte Carlo work on related problems, such as the kinetics of nucleation and phase Separation [6.1], or the kinetics of crystal growth [6.2], has been a unique tool for checking analytical theories on this subject, and has stimulated beautiful new experiments. We feel that the more recent work reviewed here will again be very stimulating for a variety of fields, from the statistical thermodynamics of irreversible processes to materials science. The main emphasis of this article is on kinetic phenomena near equilibrium, i.e., on simulations of diffusion in lattice gases, which have not yet been reviewed, except for [6.3].

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Authors
  1. K. W. Kehr
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  2. K. Binder
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  1. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Fed. Rep. of Germany

    Kurt Binder

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Kehr, K.W., Binder, K. (1984). Simulation of Diffusion in Lattice Gases and Related Kinetic Phenomena. In: Binder, K. (eds) Applications of the Monte Carlo Method in Statistical Physics. Topics in Current Physics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96788-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-96788-7_6

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