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Diffusion in concentrated lattice gases: Intermediate incoherent dynamical scattering function for tagged particles on a square lattice 
Ryszard Kutner ^{1}, Klaus W. Kehr ^{2} 
1. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02093, Poland 
Abstract 
The timedependent position selfcorrelation function of the particles of twodimensional 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 twostate models for c<0.5 and threestate 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 Submitted: 20160328 21:14 Revised: 20160328 21:14 