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Long-time tails in lattice gases violating detailed balance.

Using analytic and simulation techniques, we study the long-and intermediate-time behavior of the velocity autocorrelation function in two-dimensional lattice gas automata with stationary states that violate detailed balance. Such models are prototypes of dissipative systems, have stationary states that are very different from Gibbs states, and exhibit long-range spatial correlations. Such static correlations are absent in models with detailed balance symmetry. In some lattice gases with Strong violation of detailed balance, the simulations show negative velocity correlations at intermediate times (cage effect), which, to our knowledge, has never been observed in lattice gases before. A mode coupling calculation is used to analyze the long-time tail, whose amplitude is very different from the mean field prediction. When the above static correlations are taken into account, our theoretical predictions agree very well with the results of computer simulations.