Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution

Liu, Sanqiu; Chen, Xiaochang

doi:10.1016/j.physa.2010.12.034

Cited by 18 publications

(8 citation statements)

References 16 publications

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“…Recently, the formalism has been applied in the context of plasma physics to study the dielectric properties of a collisionless electron gas, assuming that the underlying statistics of the background particles obey the nonextensive, rather than the classical Boltzman statistics [9,10,11,12,13,14,15]. In particular, the nonextensive dielectric permittivity in the high frequency limit, and the corresponding dispersion relation, were calculated in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Simplified calculations of plasma oscillations with non-extensive statistics

Nieves,

Verges

2020

Preprint

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We use the exponential parametrization of the nonextensive distribution to calculate the dielectric constant in an electron gas obeying the nonextensive statistics. As we show, the exponential parametrization allows us to make such calculations in a straightforward way, bypassing the use of intricate formulas obtained from integral tables and/or numerical methods. For illustrative purposes, we apply first the method to the calculation of the permittivity and the corresponding dispersion relation in the ultrarelativistic limit of the electron gas, and verify that it reproduces in a simple way the results that had been obtained previously by other authors using the standard parametrization of the nonextensive distribution. In the same spirit we revisit the calculation of the same quantities for a non-relativistic gas, in the high frequency limit, which has been previously carried out, first by Lima, Silva and Santos, and subsequently revised by Chen and Li. Our own results agree with those obtained by Chen and Li. For completeness, we also apply the method the low frequency limit in the non-relativistic case, which has been previously considered by Dai, Chen and Li in the context of the stream plasma instability. We discuss some features of the results obtained in each case and their interpretation of terms of generalized nonextensive quantities, such as the Debye length λ (q) D , the plasma frequency ω (q) p and the ultra-relativistic frequency Ω (q) e,rel . In the limit q → 1 such quantities reduce to their classical value and the classical result of the dispersion relations are reproduced.

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Section: Introductionmentioning

confidence: 99%

“…The results we obtain for the dielectric permittivity and the dispersion relation coincide with those in Refs. [12] and [13]. In the process we identify the generalized relativistic electron plasma frequency Ω (q) e,rel , the temperature Tq, and the dielectric permittivity.…”

Section: Introductionmentioning

confidence: 99%

Simplified calculations of plasma oscillations with non-extensive statistics

Nieves,

Verges

2020

Preprint

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“…It is important to note that the distribution function with q < 1, compared with the Maxwellian limits, there are more particles with the velocities faster than the thermal speed, which is called the super‐extensive case, whereas the distribution function with q > 1 depicts a large number of low‐speed particles, which is called the sub‐extensive case. This q ‐non‐extensive distribution has been successfully employed in plasma physics, such as plasma oscillations in a collisionless thermal plasma, the thermal dispersion relation in a collisionless plasmas, dust‐charging processes, dust ion acoustic waves or dust acoustic waves in a dusty plasma by taking non‐extensive electrons, non‐extensive ions, or both to be non‐extensive, and ion and positron acoustic solitons in magnetized dusty plasma . Recently, a great deal of attention has been paid to the Bohm criterion and the sheath structure in plasma with non‐extensively distributed electrons .…”

Section: Introductionmentioning

confidence: 99%

Effects of non‐extensive electrons on the sheath of dusty plasmas with variable dust charge

Ghani

Driouch

Chatei

2019

Contributions to Plasma Physics

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In this study, a detailed investigation of the problem of sheath is presented using the fluid model in a magnetized three‐component dusty plasma system comprising positive ions, dust grains with variable charge and q‐non‐extensive electrons (i.e., the electrons evolve far away from their Maxwellian thermodynamic equilibrium [q = 1]). The effects of q‐non‐extensivity parameter on the plasma sheath parameters are studied numerically. A significant change is observed in the quantities characterizing the sheath with the presence of the super‐extensive electrons (q < 1) and sub‐extensive electrons (q > 1). In addition, based on the orbital motion limited theory, by taking various forces acting on the dust particle into consideration, the dynamics of the dust located within the sheath, that is, the dust grain charging inside the sheath, is examined under different values of q. It is found that the q‐non‐extensivity has affected significantly the dynamics and the charging process of the dust grains in the sheath.

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“…A number of theoretical investigations have been carried out for understanding the collective processes as well as the formation of nonlinear coherent structures not only in classical plasmas (See, e.g., Refs. [23][24][25][26]), but also in dense quantum plasmas [27][28][29][30][31][32][33][34][35][36]. For example, Mahmood et al [37] investigated the ion-acoustic (IA) solitary waves in quantum electron-ion (e-i) plasmas by employing Sagdeev potential approach.…”

Section: Introductionmentioning

confidence: 99%

Multidimensional ion-acoustic solitary waves and shocks in quantum plasmas

Misra

Sahu

2015

Physica A: Statistical Mechanics and its Applications

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The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force associated with the Bohm potential for degenerate electrons, as well as, the dissipation due to the ion kinematic viscosity are considered. Using the reductive perturbation technique, a Kadomtsev-Petviashvili Burgers (KPB)-type equation, which governs the evolution of small-amplitude SWS in quantum plasmas, is derived, and its different solutions are obtained and analyzed. It is shown that the KPB equation can admit either compressive or rarefactive SWS according to when H ≶ 2/3, or the particle number density satisfies n0 ≷ 1.3 × 10 31 cm −3 , where H is the ratio of the electron plasmon energy to the Fermi energy densities. Furthermore, the properties of large-amplitude stationary shocks are studied numerically in the case when the wave dispersion due to charge separation is negligible. It is also shown that a transition from monotonic to oscillatory shocks occurs by the effects of the quantum parameter H.

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Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution

Cited by 18 publications

References 16 publications

Simplified calculations of plasma oscillations with non-extensive statistics

Simplified calculations of plasma oscillations with non-extensive statistics

Effects of non‐extensive electrons on the sheath of dusty plasmas with variable dust charge

Multidimensional ion-acoustic solitary waves and shocks in quantum plasmas

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