Crossover from percolation to diffusion

Details Crossover from percolation to diffusion Crossover from percolation to diffusion

2000-05-01

arxiv.org/abs/cond-mat/0005031v1

Phys.Rev. B 63, 132301/1 (2001)

Physics

Condensed Matter

10 pages, 1 figure

Scientific paper

10.1103/PhysRevB.63.132301

A problem of the crossover from percolation to diffusion transport is considered. A general scaling theory is proposed. It introduces phenomenologically four critical exponents which are connected by two equations. One exponent is completely new. It describes the increase of the diffusion below percolation threshold. As an example, an exact solution of one dimensional lattice problem is given. In this case the new exponent $q=2$.

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