Nonextensive Thermostatistics and theHTheorem

2001/01/31 by J. A. S. Lima, R. Silva, A. Plastino +1 · 5 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #cond-mat

paper · pdf · doi:10.1103/physrevlett.86.2938

published as Phys.Rev.Lett. 86 (2001) 2938-2941 · 4 pages, no figures, corrected some typos

openalex publication_date 2001/04/02 · arxiv created 2002/10/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the "molecular chaos hypothesis." For q>0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.

Citations

• Lectures on Gas Theory
• Information Theory and Statistical Mechanics. II

Cited by

• On the interpretations of Tsallis functional in connection with Vlasov–Poisson and related systems: Dynamics vs thermodynamics
• Nonextensive Boltzmann Equation and Hadronization
• On the dependence of the Navier–Stokes equations on the distribution of molecular velocities
• Inclusion relations among separability criteria
• Chandrasekhar's dynamical friction and non-extensive statistics