Kinetic limit of a conservative lattice gas dynamics showing long-range correlations |
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Authors: | Christian Maes |
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Affiliation: | (1) Dipartimento di Matematica di Roma-Tor Vergata, Italy;(2) Aangesteld Navorser NFWO, Instituut voor Theoretische Fysika, K. U. Leuven, 3001 Leuven, Belgium |
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Abstract: | An anisotropic lattice gas dynamics is investigated for which particles on d jump to empty nearest neighbor sites with (fast) rate –2 in a specified direction and some particular configuration-dependent rates in the other directions. The model is translation and reflection invariant and is particle conserving. The space coordinate in the fast-rate direction is rescaled by –1. It follows that the density field converges in probability, as 0, to the corresponding solution of a nonlinear diffusion-type equation. The microscopic fluctuations about the deterministic macroscopic evolution are determined explicitly and it is found that the stationary fluctuations decay via a power law (1/rd) with the direction dependence of a quadrupole field. |
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Keywords: | Stochastic lattice gases kinetic limit power law decay fast rate exclusion process long-range correlations |
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