Percolation and motion in a simple random environment
- 1 December 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (17) , L1095-L1101
- https://doi.org/10.1088/0305-4470/18/17/006
Abstract
The authors present a particularly simple model of deterministic classical motion in a two-dimensional random environment. As the parameters of the model are varied, a transition occurs from all trajectories being localised to some being extended. They construct a mean-field theory for this transition, and relate the model exactly to percolation models in particular parameter ranges. They point out that it is a member of a new class of site percolation analogues of direct bond percolation.Keywords
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