Variable range random walk

Takashi Odagaki

Physica A: Statistical Mechanics and its Applications, 2022, vol. 603, issue C

Abstract: Exploiting the coherent medium approximation, I investigate a random walk on objects distributed randomly in a continuous space when the jump rate depends on the distance between two adjacent objects. In one dimension, it is shown that when the jump rate decays exponentially in the long distance limit, a non-diffusive to diffusive transition occurs as the density of sites is increased. In three dimensions, the transition exists when the jump rate has a super Gaussian decay.

Keywords: Random walk; Variable range; Coherent medium approximation: diffusive to non-diffusive transition; Extended percolation model; Super-Gaussian decay (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005167

DOI: 10.1016/j.physa.2022.127781

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