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...

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Detalles Bibliográficos
Autores: Bussemaker, H. J., Ernst, M. H., Matsui, J., Brito López, Ricardo
Tipo de recurso: artículo
Fecha de publicación:1995
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58590
Acceso en línea:https://hdl.handle.net/20.500.14352/58590
Access Level:acceso abierto
Palabra clave:536
Velocity Autocorrelation Function
Mode-Coupling Theory
Cellular Automata
Faster-Than-T-1 Decay
Ca Fluids
Diffusion
Hydrodynamics
Termodinámica
2213 Termodinámica
Descripción
Sumario: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.