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An invariance property of the repton model

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  • Kolomeisky, Anatoly B.
  • Widom, B.

Abstract

It is required on physical grounds that the eigenvalues of the transition-rate matrix of the Rubinstein-Duke repton model for all values of the spatial wave number q be invariant to the choice of marker repton. This is not immediately obvious from the structure of the transition-rate matrix itself, but we show that these matrices for different choices of marker are related by similarity transformation and therefore have the same eigenvalues.

Suggested Citation

  • Kolomeisky, Anatoly B. & Widom, B., 1996. "An invariance property of the repton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(1), pages 53-60.
    • Handle: RePEc:eee:phsmap:v:229:y:1996:i:1:p:53-60
    DOI: 10.1016/0378-4371(96)00017-9
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    References listed on IDEAS

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    1. Kooiman, A. & van Leeuwen, J.M.J., 1993. "Reptation models for electrophoresis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 163-172.
    2. Widom, A. & Yuan, T. & Jiang, H. & Vittoria, C., 1994. "Resonant ionic bonding and high TC superconductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 496-506.
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