An invariance property of the repton model

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.

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Year of publication:	1996
Authors:	Kolomeisky, Anatoly B. ; Widom, B.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 229.1996, 1, p. 53-60
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010586613