Abstract:A renormalization-group analysis is carried out of the long-time behavior of random walks in an environment with a positionally random local drift force. It is argued that, independent of the strength...A renormalization-group analysis is carried out of the long-time behavior of random walks in an environment with a positionally random local drift force. It is argued that, independent of the strength of the disorder, the mean-square displacement, $〈{x}^{2}(t)〉$, is linear in time (i.e., diffusive) for dimensions $d\ensuremath{\gtrsim}2$. In two dimensions, universal $\frac{t}{\mathrm{ln}t}$ corrections are found and for $d=2\ensuremath{-}\ensuremath{\epsilon}$, the behavior is subdiffusive with $〈{x}^{2}(t)〉\ensuremath{\sim}{t}^{1\ensuremath{-}{\ensuremath{\epsilon}}^{2}}$.Read More
Publication Year: 1984
Publication Date: 1984-08-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 201
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