Year: 1986
Type: article
Abstract: The authors analyse an exact model for hopping transport of a random walker in the presence of randomly distributed deep trapping sites. For an exponential distribution of the depth of traps they find a phase transition in the diffusive behaviour as a function of temperature. They show that above a critical temperature transport is purely diffusive while below it, one finds anomalous diffusion characterised by a diffusion exponent that increases with decreasing temperature. The analysis combines theory with accurate simulation in one and two dimensions. The analytical and numerical results indicate that the upper critical dimension is d c =2, i.e. for d>or=d c =2 the mean-field theory can be applied.
Institution: National Institutes of Health
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2003428030