Kinetical foundations of non-conventional statistics

After considering the kinetical interaction principle (KIP) introduced by Kaniadakis (Physica A 296 (2001) 405), we study in the Boltzmann picture, the evolution equation and the H-theorem for non-extensive systems. The q-kinetics and the κ-kinetics are studied in detail starting from the most gener...

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Bibliographic Details
Published inPhysica A Vol. 305; no. 1; pp. 76 - 83
Main Authors Kaniadakis, G., Quarati, P., Scarfone, A.M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2002
Subjects
Generalized kinetics
Nonextensive entropy
Nonlinear Boltzmann equation
05.20.−y
Nonextensive entropy
Nonlinear Boltzmann equation
05.10.Gg
Generalized kinetics
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Summary:After considering the kinetical interaction principle (KIP) introduced by Kaniadakis (Physica A 296 (2001) 405), we study in the Boltzmann picture, the evolution equation and the H-theorem for non-extensive systems. The q-kinetics and the κ-kinetics are studied in detail starting from the most general non-linear Boltzmann equation compatible with the KIP.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(01)00643-4