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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access June 1, 2004

Thermodynamic non-additivity in disordered systems with extended phase space

  • Eduard Vakarin EMAIL logo and Jean Badiali
From the journal Open Physics

Abstract

Non-additivity effects in coupled dynamic-stochastic systems are investigated. It is shown that there is a mapping of the replica approach to disordered systems with finite replica indexn on Tsallis non-extensive statistics, if the average thermodynamic entropy of the dynamic subsystem differs from the information entropy for the probability distribution in the stochastic subsystem. The entropic indexq is determined by the entropy difference ΔS. In the case of incomplete information, the entropic indexq=1−n is shown to be related to the degree of lost information.

Keywords: 05.20.-y; 05.40.-a

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Published Online: 2004-6-1
Published in Print: 2004-6-1

© 2004 Versita Warsaw

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