Anomalous diffusion in a lattice-gas wind-tree model
- 1 September 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 40 (7) , 4838-4845
- https://doi.org/10.1103/physrevb.40.4838
Abstract
Two new strictly deterministic lattice-gas automata derived from Ehrenfest’s wind-tree model are studied. While in one model normal diffusion occurs, the other model exhibits abnormal diffusion in that the distribution function of the displacements of the wind particle is non-Gaussian, but its second moment, the mean-square displacement, is proportional to the time, so that a diffusion coefficient can be defined. A connection with the percolation problem and a self-avoiding random walk for the case in which the lattice is completely covered with trees is discussed.Keywords
This publication has 12 references indexed in Scilit:
- Deterministic lattice gas modelsPhysics Letters A, 1988
- Lorentz lattice gases: Basic theoryJournal of Statistical Physics, 1988
- Universality classes for theFTHETAand FTHETA’ pointsPhysical Review Letters, 1988
- Exact Determination of the Percolation Hull Exponent in Two DimensionsPhysical Review Letters, 1987
- Conformation of a polymer chain at the theta’ point: Connection to the external perimeter of a percolation clusterPhysical Review B, 1987
- Lattice-Gas Automata for the Navier-Stokes EquationPhysical Review Letters, 1986
- A new kinetic walk and percolation perimetersPhysical Review B, 1985
- Lattice Wind-Tree Models. II. Analytic PropertyJournal of Mathematical Physics, 1972
- Lattice Wind-Tree Models. I. Absence of DiffusionJournal of Mathematical Physics, 1972
- Normal and Abnormal Diffusion in Ehrenfests' Wind-Tree ModelJournal of Mathematical Physics, 1969