Nonextensive Thermostatistics and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">H</mi></math></span> Theorem

J. A. S. Lima; R. Silva; A. R. Plastino

doi:10.1103/PhysRevLett.86.2938

Nonextensive Thermostatistics and the $H$ Theorem

J. A. S. Lima, R. Silva, and A. R. Plastino

Phys. Rev. Lett. 86, 2938 – Published 2 April 2001

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.

Received 26 September 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.2938

Authors & Affiliations

J. A. S. Lima¹, R. Silva¹, and A. R. Plastino^2,3

¹Departamento de Fisica Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal-RN, Brazil
²Facultad de Ciencias Astronomicas y Geofisicas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina
³Departament de Fisica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain