A random walk on a random channel with absorbing barriers

Dale A. Huckaby and Joseph B. Hubbard

Physica A: Statistical Mechanics and its Applications, 1983, vol. 122, issue 3, 602-610

Abstract: We consider random walks on one-dimensional random channels between two absorbing barriers. The problem can perhaps be used to model the diffusion of a molecule in a “random” membrane, the molecule traversing a random channel formed by the constituent membrane molecules. We are able to analytically follow the transition from diffusive to non-diffusive behavior as the minimum number of channel segments required to traverse the membrane increases.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:122:y:1983:i:3:p:602-610

DOI: 10.1016/0378-4371(83)90052-3

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