Kinetical Foundations of Non Conventional Statistics
arXiv:cond-mat/0110066 · doi:10.1016/S0378-4371(01)00643-4
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.
11 pages, no figures. Contribution paper to the proseedings of the International School and Workshop on Nonextensive Thermodynamics and Physical Applications, NEXT 2001, 23-30 May 2001, Cagliari Sardinia, Italy (Physica A)