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Collisionless Boltzmann equation for systems obeying Tsallis distribution

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Abstract:

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.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, R. Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil, , , , , , BR

    E.K. Lenzi

  2. Departamento de Fısica, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá-PR, Brazil, , , , , , BR

    R.S. Mendes

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  1. E.K. Lenzi
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  2. R.S. Mendes
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Received 9 October 2000 and Received in final form 9 March 2001

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Lenzi, E., Mendes, R. Collisionless Boltzmann equation for systems obeying Tsallis distribution. Eur. Phys. J. B 21, 401–406 (2001). https://doi.org/10.1007/s100510170184

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  • DOI: https://doi.org/10.1007/s100510170184

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