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Kinetical Foundations of Non Conventional Statistics

G. Kaniadakis·P. Quarati·A. M. Scarfone
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Abstract

After considering the kinetical interaction principle (KIP) introduced in ref. Physica A {\bf296}, 405 (2001), 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.

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G. Kaniadakis, P. Quarati, A. M. Scarfone. 2001-10-03. Kinetical Foundations of Non Conventional Statistics. https://doi.org/10.1016/s0378-4371(01)00643-4

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