Thermodynamic non-additivity in disordered systems with extended phase space

• Authors: Eduard Vakarin , Jean Badiali
• Languages of publication: EN

Abstracts

EN

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

EN

disordered systems; non-extensive entropy; statistical inference; 05.20.-y; 05.40.-a

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2004
• Volume: 2
• Issue: 2
• Pages: 241-253

Dates

published

1 - 6 - 2004

online

1 - 6 - 2004

Contributors

author

Eduard Vakarin

• Laboratoire de Electrochimie et Chimie Analytique, Ecole Nationale Superieure de Chimie de Paris-Universite Pierre et Marie Curie, 11 rue P. et M. Curie, 75231 Cedex 05, Paris, France

author

Jean Badiali

• Laboratoire de Electrochimie et Chimie Analytique, Ecole Nationale Superieure de Chimie de Paris-Universite Pierre et Marie Curie, 11 rue P. et M. Curie, 75231 Cedex 05, Paris, France

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Identifiers

DOI

10.2478/BF02475630