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Diffusion in concentrated lattice gases. II. Particles with attractive nearest-neighbor interaction on three-dimensional lattices

Ryszard Kutner 1Kurt Binder 2Klaus W. Kehr 3

1. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02-093, Poland
2. Johannes Gutenberg Universität, Staudingerweg 9, Mainz 55128, Germany
3. Institut fur Festkoerperforschungs, Forschungszentrum Jülich (FZJ), Wilhelm-Johnen-Straße, Jülich 52428, Germany


The diffusion process of particles in concentrated lattice gases is investigated, with the assumption of a fcc lattice and nearest-neighbor attraction (but double occupancy of sites being forbidden). Both the self-diffusion of tagged particles and the collective diffusion, by which concentration fluctuations decay, are studied. Apart from a mean-field treatment, the various diffusion coefficients are estimated by Monte Carlo techniques and interpreted in terms of static long- and short-range order (i.e., unmixing) occurring in this model system. Collective diffusion is studied by direct simulation of linear response to wave-vector-dependent "fields." Near the critical temperature, pronounced critical slowing down of the collective diffusion coefficient is observed. The self-diffusion constant stays finite but exhibits a singularity of its slope. The correlation factor for self-diffusion is found to be practically independent of temperature. A qualitative discussion of the behavior inside of the mixed-phase region is also given.

Physical Review B 26, 2967 (1982).


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Presentation: Article at Econophysics group of Ryszard Kutner, by Ryszard Kutner
See On-line Journal of Econophysics group of Ryszard Kutner

Submitted: 2016-03-08 14:25
Revised:   2016-03-08 14:29