# Kinetical Foundations of Non Conventional Statistics

Source: [Kinetical Foundations of Non Conventional Statistics](<https://www.sota2.com/research/paper/68fa31ba1e209131ce8814f4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:02:22.005Z

Authors: G. Kaniadakis, P. Quarati, A.M. Scarfone

Published: 2001-10-03T10:25:42.000Z

## 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 $\\kappa$-kinetics are studied in detail starting from the most general non linear Boltzmann equation compatible with the KIP.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0110066>)

[PDF](<https://arxiv.org/pdf/cond-mat/0110066.pdf>)