Vasyliunas–Cairns distribution function for space plasma species

Abid, A. A.; Ali, S.; Du, Jiulin; Mamun, A. A.

doi:10.1063/1.4928886

Cited by 45 publications

(26 citation statements)

References 24 publications

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“…38 Interestingly, it has been argued that the j-distribution can be derived from the Tsallis distribution. 39 The most latest non-Maxwellian distribution termed as Vasyliunas-Cairns distribution was investigated by Abid et al 40 This manuscript is organized as follows: In Sec. II, we critically examine the Cairns-Tsallis (q, a)-distribution function and place limits on its range of validity in general and specifically for application to soliton studies.…”

Section: Introductionmentioning

confidence: 99%

Dust charging processes with a Cairns-Tsallis distribution function with negative ions

et al. 2016

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Dust grain charging processes are presented in a non-Maxwellian dusty plasma following the Cairns-Tsallis (q, a)-distribution, whose constituents are the electrons, as well as the positive/negative ions and negatively charged dust grains. For this purpose, we have solved the current balance equation for a negatively charged dust grain to achieve an equilibrium state value (viz., q d ¼ constant) in the presence of Cairns-Tsallis (q, a)-distribution. In fact, the current balance equation becomes modified due to the Boltzmannian/streaming distributed negative ions. It is numerically found that the relevant plasma parameters, such as the spectral indexes q and a, the positive ion-toelectron temperature ratio, and the negative ion streaming speed (U 0) significantly affect the dust grain surface potential. It is also shown that in the limit q ! 1 the Cairns-Tsallis reduces to the Cairns distribution; for a ¼ 0 the Cairns-Tsallis distribution reduces to pure Tsallis distribution and the latter reduces to Maxwellian distribution for q ! 1 and a ¼ 0.

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Section: Introductionmentioning

confidence: 99%

Dust charging processes with a Cairns-Tsallis distribution function with negative ions

et al. 2016

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“…It is remarked that the Vasyliunas-Cairns distribution presented in Ref. 31 involves the indices a and j (which is the superthermality parameter in the plasma system). The Vasyliunas-Cairns distribution function must satisfy j > 3=2 and 0 < a < 1.…”

Section: Langmuir Oscillations With Nonthermal Nonextensive Distmentioning

confidence: 99%

Langmuir oscillations in a nonthermal nonextensive electron-positron plasma

El-Taibany

Zedan

2017

Physics of Plasmas

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The high-frequency Langmuir-type oscillations in a pure pair plasma are studied using Vlasov-Poisson's equations in the presence of hybrid nonthermal nonextensive distributed species. The characteristics of the Langmuir oscillations, Landau damping, and growing unstable modes in a nonthermal nonextensive electron-positron (EP) plasma are remarkably modified. It is found that the phase velocity of the Langmuir waves increases by decreasing (increasing) the value of nonextensive (nonthermal) parameter, q (a). In particular, depending on the degree of nonthermality and nonextensivity, both damping and growing oscillations are predicted in the proposed EP plasma. It is seen that the Langmuir waves suffer from Landau damping in two different q regions. Furthermore, the mechanism that leads to unstable modes is established in the context of the nonthermal nonextensive formalism, yet the damping mechanism is the same developed by Landau. The present study is useful in the regions where such mixed distributions in space or laboratory plasmas exist.

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“…Depending on the certain limits of kappa and Cairns distribution functions, these distributions reduce to a standard Maxwellian distribution. Later on, a generalized Vasyliunas-Cairns distribution, which has been generated from the -distribution and Cairns distribution, were introduced by Abid et al [32] Based on non-extensive statistical mechanics, Tsallis [27] introduced the third nonthermal distributions with an enhanced non-Maxwellian tail (so called q-nonextensive distributions in the description of nonlinear plasma waves [33] ). The Tsallis distribution has the attraction in the theoretical investigation, but it appears that this approach is still somewhat controversial.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Haque

Mannan

2020

Contributions to Plasma Physics

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A more general and realistic four-component magnetized plasma medium consisting of opposite polarity ions and nonthermal distributed positrons and electrons is considered to investigate the stable/unstable frequency regimes of modulated ion-acoustic waves (IAWs) in the D-F regions of Earth's ionosphere. A (3 + 1)-dimensional nonlinear Schrödinger equation, which leads to the modulation instability (MI) of IAWs, is derived. The parametric regimes for the existence of the MI, first-and second-order rogue waves, and also their basic features (viz., amplitude, width, and speed) are found to be significantly modified by the effect of physical plasma parameters and external magnetic field. It is found that the nonlinearity of the different types of electronegative plasma system depends on the positive to negative ion mass ratio. It is also shown that the presence of nonthermal distributed electrons and positrons modifies the nature of the MI of the modulated IAWs. The implication of our results for the laboratory plasma [e.g., (Ar + , F −) electronegative plasma] and space plasma [e.g., (H + , H −), (H + , O − 2) electronegative plasma in D-F regions of Earth's ionosphere] are briefly discussed.

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Vasyliunas–Cairns distribution function for space plasma species

Cited by 45 publications

References 24 publications

Dust charging processes with a Cairns-Tsallis distribution function with negative ions

Dust charging processes with a Cairns-Tsallis distribution function with negative ions

Langmuir oscillations in a nonthermal nonextensive electron-positron plasma

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

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