Dust-acoustic wave modulation in the presence of q-nonextensive electrons and/or ions in dusty plasma

Bains, A. S.; Tribeche, Mouloud; Ng, C. S.

doi:10.1007/s10509-012-1264-6

Cited by 51 publications

(42 citation statements)

References 49 publications

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“…Our derived Eqs. (6)-(17) are in agreement with the relations calculated in Bains et al (2013). The general behavior of nonlinear waves is the same and nonextensivity plays similar role.…”

Section: Modulational Instability (Mi)supporting

confidence: 87%

“…The general behavior of nonlinear waves is the same and nonextensivity plays similar role. According to Bains et al (2013) existence of nonextensive electrons causes a shift to lower wave numbers in the critical wave number k c while in our plasma system such shift is occurred toward the greater wave number.…”

Section: Modulational Instability (Mi)mentioning

confidence: 67%

“…Our results also show the similar behavior as explained before. Bains et al have investigated the dynamics of lowphase velocity nonlinear dust acoustic waves in three component, homogeneous, unmagnetized dusty plasmas whose constituents are negatively charged inertial dust particles, q-distributed electrons and ions (Bains et al 2013). Our derived Eqs.…”

Section: Modulational Instability (Mi)mentioning

confidence: 99%

See 2 more Smart Citations

Dust-ion acoustic waves modulation in dusty plasmas with nonextensive electrons

Pakzad

Javidan

Rafiei

2014

Astrophys Space Sci

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The nonlinear amplitude modulation of dust-ion acoustic wave (DIAW) is studied in the presence of nonextensive distributed electrons in dusty plasmas with stationary dust particles. Using the reductive perturbation method (RPM), the nonlinear Schrödinger equation (NLSE) which governs the modulational instability (MI) of the DIAWs is obtained. Modulational instability regions and the growth rate of nonlinear waves are discussed. It is shown that the wave characters are affected by the value of nonextensive parameter and also relative density of plasma constituents.

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“…Our derived Eqs. (6)-(17) are in agreement with the relations calculated in Bains et al (2013). The general behavior of nonlinear waves is the same and nonextensivity plays similar role.…”

Section: Modulational Instability (Mi)supporting

confidence: 87%

Section: Modulational Instability (Mi)mentioning

confidence: 67%

Section: Modulational Instability (Mi)mentioning

confidence: 99%

See 1 more Smart Citation

Dust-ion acoustic waves modulation in dusty plasmas with nonextensive electrons

Pakzad

Javidan

Rafiei

2014

Astrophys Space Sci

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“…Decker and Krimigis 2003;Decker et al 2005;Heerikhuisen et al 2008Livadiotis et al 2011Livadiotis et al , 2013Livadiotis and McComas 2012a), and (3) other various plasma-related analyses (e.g. Milovanov and Zelenyi 2000;Saito et al 2000;Leubner 2004;Raadu and Shafiq 2007;Baluku et al 2010;Livadiotis and McComas 2009, 2010a, 2011bLe Roux et al 2010;Eslami et al 2011;Kourakis et al 2012; see also the work of Tribeche and collaborators in dusty plasmas, e.g., Tribeche et al 2009Tribeche and Bacha 2010;Tribeche and Merriche 2011;Roy et al 2012;Bains et al 2013). Because BG Statistical Mechanics cannot adequately describe non-equilibrium plasmas, new advances were required.…”

mentioning

confidence: 99%

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

2013

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In this paper we examine the physical foundations and theoretical development of the kappa distribution, which arises naturally from non-extensive Statistical Mechanics. The kappa distribution provides a straightforward replacement for the Maxwell distribution when dealing with systems in stationary states out of thermal equilibrium, commonly found in space and astrophysical plasmas. Prior studies have used a variety of inconsistent, and sometimes incorrect, formulations, which have led to significant confusion about these distributions. Therefore, in this study, we start from the N -particle phase space distribution and develop seven formulations for kappa distributions that range from the most general to several specialized versions that can be directly used with common types of space data. Collectively, these formulations and their guidelines provide a "toolbox" of useful and statistically well-grounded equations for future space physics analyses that seek to apply kappa distributions in data analysis, simulations, modeling, theory, and other work.

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“…The physical meaning of the Debye length 343 2001; Saito et al 2000;Leubner 2004;Raadu and Shafiq 2007;Hellberg et al 2009;Livadiotis and McComas 2009, 2010a-c, 2011a, 2011b, 2012, 2013aTribeche et al 2009;Le Roux et al 2010;Eslami et al 2011;Kourakis et al 2012;Yoon 2012;Yoon et al 2012;Bains et al 2013;Saberian and Esfandyari-Kalejahi 2013).…”

Section: And Zelenyi 2000mentioning

confidence: 99%

Electrostatic shielding in plasmas and the physical meaning of the Debye length

Livadiotis

McComas

2014

J. Plasma Phys.

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This paper examines the electrostatic shielding in plasmas, and resolves inconsistencies about what the Debye length really is. Two different interpretations of the Debye length are currently used: (1) The potential energy approximately equals the thermal energy, and (2) the ratio of the shielded to the unshielded potential drops to 1/e. We examine these two interpretations of the Debye length for equilibrium plasmas described by the Boltzmann distribution, and non-equilibrium plasmas (e.g. space plasmas) described by kappa distributions. We study three dimensionalities of the electrostatic potential: 1-D potential of linear symmetry for planar charge density, 2-D potential of cylindrical symmetry for linear charge density, and 3-D potential of spherical symmetry for a point charge. We resolve critical inconsistencies of the two interpretations, including: independence of the Debye length on the dimensionality; requirement for small charge perturbations that is equivalent to weakly coupled plasmas; correlations between ions and electrons; existence of temperature for nonequilibrium plasmas; and isotropic Debye shielding. We introduce a third Debye length interpretation that naturally emerges from the second statistical moment of the particle position distribution; this is analogous to the kinetic definition of temperature, which is the second statistical moment of the velocity distribution. Finally, we compare the three interpretations, identifying what information is required for theoretical/experimental plasma-physics research: Interpretation 1 applies only to kappa distributions; Interpretation 2 is not restricted to any specific form of the ion/electron distributions, but these forms have to be known; Interpretation 3 needs only the second statistical moment of the positional distribution.

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Dust-acoustic wave modulation in the presence of q-nonextensive electrons and/or ions in dusty plasma

Cited by 51 publications

References 49 publications

Dust-ion acoustic waves modulation in dusty plasmas with nonextensive electrons

Dust-ion acoustic waves modulation in dusty plasmas with nonextensive electrons

Understanding Kappa Distributions: A Toolbox for Space Science and Astrophysics

Electrostatic shielding in plasmas and the physical meaning of the Debye length

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