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On the equivalence between multistate-trapping and continuous-time random walk models

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  • Kehr, K.W.
  • Haus, J.W.

Abstract

We compare two model descriptions of transport in a material with traps. We establish the equivalence between the n-state trapping model where equilibrium initial conditions are used, and the continuous-time random walk description where a distinct first-waiting-time distribution is introduced. Tunaley's result on the frequency independence of the ac conductivity is corroborated by this equivalence.

Suggested Citation

  • Kehr, K.W. & Haus, J.W., 1978. "On the equivalence between multistate-trapping and continuous-time random walk models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 412-426.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:3:p:412-426
    DOI: 10.1016/0378-4371(78)90163-2
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    References listed on IDEAS

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    1. James S. Plaxico & Daryll E. Ray, 1973. "Implications for Agricultural Economists," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(3), pages 399-403.
    2. Funabashi, Yoshie, 1977. "Hume's Moral Philosophy," Economic Review, Hitotsubashi University, vol. 28(1), pages 19-22, January.
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    Cited by:

    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. Vlad, Marcel Ovidiu, 1994. "Non-Markovian approach for anomalous diffusion with infinite memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(2), pages 167-176.

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