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A random walk on a random channel with absorbing barriers

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  • Huckaby, Dale A.
  • Hubbard, Joseph B.

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.

Suggested Citation

  • Huckaby, Dale A. & Hubbard, Joseph B., 1983. "A random walk on a random channel with absorbing barriers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 602-610.
    • Handle: RePEc:eee:phsmap:v:122:y:1983:i:3:p:602-610
    DOI: 10.1016/0378-4371(83)90052-3
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    References listed on IDEAS

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    1. Kehr, K.W. & Kutner, R., 1982. "Random walk on a random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 535-549.
    2. Peter Waterman, 1979. "Strikes in the Third World: Introduction," Development and Change, International Institute of Social Studies, vol. 10(2), pages 177-180, April.
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    Cited by:

    1. Bach, Eric, 1997. "Moments in the duration of play," Statistics & Probability Letters, Elsevier, vol. 36(1), pages 1-7, November.

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