Lattice gases in slab geometries | Zendy

Ricardo Brito | Zendy; M. H. Ernst | Zendy

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Lattice gases in slab geometries

Author(s) -

Ricardo Brito,

M. H. Ernst

Publication year - 1991

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.44.8384

Subject(s) - physics , lattice (music) , periodic boundary conditions , autocorrelation , isotropy , cellular automaton , slab , lattice gas automaton , boundary value problem , quantum mechanics , statistics , algorithm , stochastic cellular automaton , automaton , mathematics , astronomy , geophysics , computer science , acoustics

Non-mean-field-type excess correlations at short times are present in three-dimensional (3D) computer simulations of the velocity autocorrelation function, but absent in 1D, 2D, and 4D. They are caused by ring collisions in a quasi-3D slab of size 2 x L x L x L in a face-centered-hypercubic lattice with periodic boundary conditions, which is the only available lattice-gas cellular automaton with 3D isotropic fluid flow. We evaluate this excess correlation. The simulation data agree very well with our exact result

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