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Diffusion in onedimensional bosonic lattice gas 
Ryszard Kutner ^{1}, Klaus W. Kehr ^{2}, Wolfgang Renz ^{2}, Radosław Przeniosło ^{1} 
1. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02093, Poland 
Abstract 
A onedimensional latticegas model with order preservation is considered where the occupation probabilities of sites correspond to Bose statistics as a consequence of the prescribed dynamics. The master equation for the particlecluster dynamics at the sites is formulated. The corresponding continuum nonlinear diffusion equation is derived for the space and timedependent concentration fluctuations. The equation can be regarded, in the presence of a drift force, as the Burgers equation when terms irrelevant in the sense of renormalizationgroup ideas are neglected. Collective centreofmass and taggedparticle diffusion are investigated by numerical simulations and the results agree with the analytical derivations. Subdiffusive behaviour of the meansquare displacement of tagged particles and normal collective and centreofmass diffusion are observed when no bias is present. The dispersion of the centreofmass displacement exhibits superdiffusive behaviour in the case of mean drift of the particles. Discrepancies of about 20% between the numerically determined superdiffusion coefficients and the predictions of the modecoupling theory are found and discussed. Journal of Physics A: Mathematical and General 28 (1995), 923. 
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Presentation: Article at Econophysics group of Ryszard Kutner, by Ryszard Kutner Submitted: 20160326 20:28 Revised: 20160326 23:42 