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arXiv · 0711.1130

Random walks in a random environment on a strip: a renormalization group approach

Róbert Juhász
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Abstract

We present a real space renormalization group scheme for the problem of random walks in a random environment on a strip, which includes one-dimensional random walk in random environment with bounded non-nearest-neighbor jumps. We show that the model renormalizes to an effective one-dimensional random walk problem with nearest-neighbor jumps and conclude that Sinai scaling is valid in the recurrent case, while in the sub-linear transient phase, the displacement grows as a power of the time.

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Róbert Juhász. 2007-11-07. Random walks in a random environment on a strip: a renormalization group approach. https://doi.org/10.1088/1751-8113/41/31/315001

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