Kinetical Foundations of Non Conventional Statistics
G. Kaniadakis, P. Quarati, A. M. Scarfone
Abstract
After considering the kinetical interaction principle (KIP) introduced in ref. Physica A 296, 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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