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Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions

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arxiv cond-mat/0404602 v1 pith:PE5NYBWJ submitted 2004-04-25 cond-mat.stat-mech astro-phphysics.plasm-ph

classification cond-mat.stat-mechastro-phphysics.plasm-ph
keywords plasmacoulombianinteractionslong-rangestatisticssystemsmathematicalnon-isothermal
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The nonextensivity in a non-isothermal plasma system with the Coulombian long-range interactions is studied in the framework of Tsallis statistics. We present for first time a mathematical expression of the nonextensive parameter q based on the mathematical theory about the generalized Boltzmann equation and the q-H theorem and the Maxwellian q-velocity distribution. We obtain a new physical explanation for q concerning the nature of non-isothermal configurations in plasma systems with Coulombian long-range interactions. We also provide one illustration for Almeida theorem (Physica A 300(2001)424) from the kinetic analyses of plasma systems, which means that Tsallis statistics might be a suitable statistics for the description of a nonequilibrium system with a temperature gradient in it.

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  1. Black Hole Thermodynamics via Tsallis Statistical Mechanics

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.

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