Region of validity in theories of diffusion near to the percolation threshold

J. Kertész, J. Metzger

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Abstract (may include machine translation)

In theories of classical diffusion near to the percolation threshold two characteristic times can be defined: tau s for the short time and tau h for the hydrodynamic behaviour. Physically tau stauh should be fulfilled and the authors suggest this relation as a criterion of validity in such theories. For the effective medium and the self-consistent current relaxation theory the region where this criterion is violated shrinks with dimension d to infinity , but remains finite for all d>2, d=2 is a marginal case concerning the criterion.

Original languageEnglish
Pages (from-to)L501-L505
JournalJournal of Physics A: General Physics
Volume17
Issue number9
DOIs
StatePublished - 21 Jun 1984
Externally publishedYes

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