An invariance property of the repton model

Anatoly B. Kolomeisky and B. Widom

Physica A: Statistical Mechanics and its Applications, 1996, vol. 229, issue 1, 53-60

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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:229:y:1996:i:1:p:53-60

DOI: 10.1016/0378-4371(96)00017-9

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