Phys. Rev. A 30, 960–964 (1984)Random walks in random environmentsReceived 8 December 1983; published in the issue dated August 1984 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, 〈x2(t)〉, is linear in time (i.e., diffusive) for dimensions d≳2. In two dimensions, universal t/lnt corrections are found and for d=2-ε, the behavior is subdiffusive with 〈x2(t)〉∼t1-ε2. © 1984 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.30.960
DOI:
10.1103/PhysRevA.30.960
PACS:
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