A nonextensive statistics approach for Langmuir waves in relativistic plasmas

Abstract

Abstract. The nonextensive statistics formalism proposed by Tsallis has found many applications in systems with memory effects, long range spatial correlations, and in general whenever the phase space has fractal or multi-fractal structure. These features may appear naturally in turbulent or non-neutral plasmas. In fact, the equilibrium distribution functions which maximize the nonextensive entropy strongly resemble the non-Maxwellian particle distribution functions observed in space and laboratory and turbulent pure electron plasmas.In this article we apply the Tsallis entropy formalism to the problem of longitudinal oscillations in a proton-electron plasma. In particular, we study the equilibrium distribution function and the dispersion relation of longitudinal oscillations in a relativistic plasma, finding interesting differences with the nonrelativistic treatment.

Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution

“…Thus, it is of interest to study such relativistic systems in the q-nonextensive context. Munoz [16] has studied the dispersion law of longitudinal oscillation based on one dimension q-distribution in a relativistic plasma. In this paper, we intend to generalize the work of Munoz to the three dimension case.…”

A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas

“…The nonextensivity in the nonequilibrium plasma with Coulombian long-range interactions is investigated using the generalized q-Maxwellian velocity distribution [11], in which the formulation for the nonextensive parameter q is found and the physical meaning is given. Nonextensive statistics is also applied to study the waves and instability phenomena, such as the plasma oscillations [12,13], the relativistic Langmuir waves [14], the linear or nonlinear Landau damping [15] and, recently, Jeans' instability [16,17].…”

Introduction to Nonextensive Statistical Mechanics

“…See also [463][464][465][466][467][468][469][470][471][472][473][474][475][476][477][478][479][480]513]. Fig.…”