Collisionless Boltzmann equation for systems obeying Tsallis distribution
Centro Brasileiro de Pesquisas Físicas, R. Dr.
Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil
2 Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá-PR, Brazil
Corresponding author: a firstname.lastname@example.org
Revised: 9 March 2001
Published online: 15 June 2001
The collisionless Boltzmann equation is generalized herein using the Green function theory proposed recently by A.K. Rajagopal et al. [Phys. Rev. Lett. 80, 3911 (1998)] to describe nonextensive systems based on Tsallis formalism. Its invariance with the nonextensive index, q, and some conservative laws useful in the description of sound propagation are verified. In this context, the Wigner distribution has also been introduced. Furthermore, the formalism developed in the research is applied for fermionic system, to obtain the dynamic dielectric response function.
PACS: 05.70.Ce – Thermodynamic functions and equations of state / 05.30.-d – Quantum statistical mechanics / 05.20.-y – Classical statistical mechanics / 05.30.Ch – Quantum ensemble theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001