Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions
TLDR
In this paper, a mathematical expression of the nonextensivity in a nonisothermal plasma system with the Coulombian long-range interaction is studied in the framework of Tsallis statistics.About:
This article is published in Physics Letters A.The article was published on 2004-08-30 and is currently open access. It has received 252 citations till now. The article focuses on the topics: Tsallis statistics & Boltzmann equation.read more
Citations
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Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics
Liu Liyan,Du Jiulin +1 more
TL;DR: In this paper, the authors investigated the dispersion relation and Landau damping of ion acoustic waves in the collisionless magnetic-field-free plasma when the plasma is described by the nonextensive q -distributions of Tsallis statistics.
Journal ArticleDOI
Dust-acoustic rogue waves in a nonextensive plasma.
TL;DR: The relevant numerical analysis of the appropriate nonlinear solution is presented and the nonlinear structure could be useful for controlling and maximizing highly energetic pulses in dusty plasmas.
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Nonextensive dust-acoustic solitary waves
Mouloud Tribeche,A. Merriche +1 more
TL;DR: The seminal work of Mamun et al. as mentioned in this paper revisited within the theoretical framework of the Tsallis statistical mechanics was revisited by the authors, who found that depending on whether the nonextensive parameter q is positive or negative, the dust-acoustic (DA) soliton exhibits compression for q 0.
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A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma
Zhipeng Liu,Liyan Liu,Jiulin Du +2 more
TL;DR: In this article, the instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma was investigated by using a nonextensive approach, where the ions and the electrons were thought of in the power-law distributions that can be described by the generalized q-Maxwellian velocity distribution.
Journal ArticleDOI
A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas
Zhipeng Liu,Liyan Liu,Jiulin Du +2 more
TL;DR: In this paper, the instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma was investigated by using a nonextensive approach, where the ions and the electrons were thought of in the power-law distributions that can be described by the generalized q-Maxwellian velocity distribution.
References
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Possible generalization of Boltzmann-Gibbs statistics
TL;DR: In this paper, a generalized form of entropy was proposed for the Boltzmann-Gibbs statistics with the q→1 limit, and the main properties associated with this entropy were established, particularly those corresponding to the microcanonical and canonical ensembles.
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Plasma oscillations and nonextensive statistics
TL;DR: In this paper, the dispersion relations for electrostatic plane-wave propagation in a collisionless thermal plasma are discussed in the context of the nonextensive statistics proposed by Tsallis.
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A Maxwellian path to the q-nonextensive velocity distribution function
TL;DR: In this paper, the first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q-statistics proposed by Tsallis.
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Nonextensive Thermostatistics and the H Theorem
TL;DR: For q>0, the q-transport equation satisfies an H theorem based on Tsallis entropy, and it is proved that the collisional equilibrium is given byTsallis' q-nonextensive velocity distribution.
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Measurements of inverse bremsstrahlung absorption and non-Maxwellian electron velocity distributions.
TL;DR: Non-Maxwellian (flattopped) electron velocity distributions resulting from inverse bremsstrahlung of intense microwaves are measured directly for the first time in experiments performed on the UCD AURORA II device.
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Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics
Liu Liyan,Du Jiulin +1 more