Lattice gas with ``interaction potential''

Nonlinear Sciences – Cellular Automata and Lattice Gases

Scientific paper

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12 pages LaTeX, figures available on demand (otribel@ulb.ac.be)

Scientific paper

10.1007/BF02179984

We present an extension of a simple automaton model to incorporate non-local interactions extending over a spatial range in lattice gases. {}From the viewpoint of Statistical Mechanics, the lattice gas with interaction range may serve as a prototype for non-ideal gas behavior. {}From the density fluctuations correlation function, we obtain a quantity which is identified as a potential of mean force. Equilibrium and transport properties are computed theoretically and by numerical simulations to establish the validity of the model at macroscopic scale.

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