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Mean square displacement of a tracer particle in a hard-core lattice gas

Henk van Beijeren 2Ryszard Kutner 1

1. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02-093, Poland
2. Institute of Theoretical Physics, Utrecht University (ITPUU), Leuvenlaan 4, Utrecht 3584 CE, Netherlands


A simple theory is developed for hopping diffusion in hard-core lattice gases. Its predictions for the mean square displacement of a tracer particle as a function of time are found to be in good agreement with the results of Monte Carlo simulations on a quadratic lattice. For long times a logarithmic term is found in accord with mode-coupling predictions. Our predictions for the tracer diffusion coefficient agree with those of Tahir-Kheli.

Physical Review Letters 55, 238 (1985).


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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 14:54
Revised:   2016-03-08 14:58