Diffusion on random lattices

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02179584· OSTI ID:468995

Wang, F; Cohen, E G.D. ^[1]

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1. Rockefeller Univ., New York, NY (United States)

We study the motion of a point particle along the bonds of a two-dimensional random lattice, whose sites are randomly occupied with right and left rotators, which scatter the particle according to deterministic scattering rules. We consider both a Poisson (PRL) and a vectorized random lattice (VRL) and fixed as well as flipping scatterers. On both lattices, for fixed scatterers and equal concentrations of right and left rotators the same anomalous diffusion of the particle is obtained as before for the triangular lattice, where the mean square displacement is {approximately}t, the diffusion process non-Gaussian, and the particle trajectories exhibit scaling behavior as at a percolation threshold. For unequal concentrations the particle is trapped exponentially rapidly. This system can be considered as an extreme case of the Lorentz lattice gases on regular lattices discussed before or as an example of the motion of a particle along cracks or (grain or cellular) boundaries on a two-dimensional surface.

• Sponsoring Organization: USDOE
• DOE Contract Number: FG02-88ER13847
• OSTI ID: 468995
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 1-2 Vol. 84; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
COMPUTERIZED SIMULATION
DIAGRAMS
DIFFUSION
EQUATIONS OF MOTION
LATTICE FIELD THEORY
LORENTZ GAS
NUMERICAL DATA
PARTICLES
SCATTERING