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Diffusion in concentrated lattice gases: Intermediate incoherent dynamical scattering function for tagged particles on a square lattice

Ryszard Kutner 1Klaus W. Kehr 2

1. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02-093, Poland
2. Institut fur Festkoerperforschungs, Forschungszentrum Jülich (FZJ), Wilhelm-Johnen-Straße, Jülich 52428, Germany


The time-dependent position self-correlation function of the particles of two-dimensional lattice gases was estimated by Monte Carlo simulations at various concentrations c. Two exponential decay modes were identified for c<0.5 and three modes for c>0.5 in the resulting intermediate incoherent dynamical scattering function. Published microscopic theories for that quantity are found to be at variance with the numerical results at larger wave vectors. A phenomenological description of the results is achieved by two-state models for c<0.5 and three-state models for c>0.5. A detailed physical interpretation of the model parameters, however, is an open question.

Physical Review B 41 (1990), 2784.


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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: 2016-03-28 21:14
Revised:   2016-03-28 21:14