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- W2081238271 abstract "Lattice gas automata with collision rules that violate the conditions of semidetailed balance exhibit algebraic decay of equal-time spatial correlations between fluctuations of conserved densities. This is shown on the basis of a systematic microscopic theory. Analytical expressions for the dominant long-range behavior of correlation functions are derived using kinetic theory. We discuss a model of interacting random walkers with x-y anisotropy whose pair correlation function decays as 1/${mathit{r}}^{2}$, and an isotropic fluid-type model with momentum correlations decaying as 1/${mathit{r}}^{2}$. The pair correlation function for an interacting random walker model with interactions satisfying all symmetries of the square lattice is shown to have 1/${mathit{r}}^{4}$ density correlations. Theoretical predictions for the amplitude of the algebraic tails are compared with the results of computer simulations. textcopyright{} 1996 The American Physical Society." @default.
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- W2081238271 title "Microscopic theory for long-range spatial correlations in lattice gas automata" @default.
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- W2081238271 doi "https://doi.org/10.1103/physreve.53.5837" @default.
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