English

Crossover from percolation to diffusion

Condensed Matter 2009-10-31 v1

Abstract

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=2q=2.

Keywords

Cite

@article{arxiv.cond-mat/0005031,
  title  = {Crossover from percolation to diffusion},
  author = {D. N. Tsigankov and A. L. Efros},
  journal= {arXiv preprint arXiv:cond-mat/0005031},
  year   = {2009}
}

Comments

10 pages, 1 figure