Jeans' gravitational instability of a thermally conducting plasma

Shaikh, Shaista; Khan, Aiyub; Bhatia, P. K.

doi:10.1016/j.physleta.2007.09.069

Cited by 52 publications

(38 citation statements)

References 28 publications

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“…The physical explanation for the parameter q different from unity was represented for the nonequilibrium plasma system with Coulombian long-range interactions 19 . Many of the basic characteristics of electron-ion plasmas and dusty plasmas have been investigated under the condition of the power-law q-distributions, such as electron and ion dust charging process 26 , ion acoustic waves [27][28][29][30][31][32][33] , dust acoustic waves [34][35][36][37] , solitary waves 29,[36][37][38] , electron acoustic waves [39][40][41] , and Jeans' instability in space plasma 42,43 , etc. Nevertheless, according to present knowledge, the usually employed q-distribution function is not factorized for kinetic and potential energies because without considering the nonextensivity of the energy.…”

Section: Introductionmentioning

confidence: 99%

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

Gong

2012

Physics of Plasmas

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The dust charging processes in the collections of electrons and ions in the nonequilibrium dusty plasma with power-law distributions are investigated on the basic of a new q-distribution function theory in nonextensive statistics. Electrons and ions obey the power-law distributions and are with q-parameters different from each other. We derive the generalized formulae for the dust charging currents in which the nonextensive effects play roles. Further we investigate the dust charging processes taking place in the homogeneous dusty plasma where only the particle velocities are power-law distributions and in the dust cloud plasma where the particle velocities and densities are both power-law distributions. By numerical analyses, we show that the nonextensive power-law distributions of electrons and ions have significant effects on the dust charging processes in the nonequilibrium dusty plasma.

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Section: Introductionmentioning

confidence: 99%

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

Gong

2012

Physics of Plasmas

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“…In absence of radiative heat-loss function, thermal conductivity, finite electrical resistivity, and viscosity the general dispersion relation (7) is identical to Sharma [16] for nonrotational case. In absence of FLR corrections and radiative heatloss function the general dispersion relation (7) is identical to Shaikh et al [32] neglecting Hall current in their case. In absence of FLR corrections and viscosity dispersion relation (7) is identical to Bora and Talwar [34] neglecting Hall current and electron inertia in their case.…”

Section: Dispersion Relationmentioning

confidence: 71%

“…Shadmehri and Dib [31] have discussed the thermal instability in magnetized partially ionized plasma with charged dust particles and radiative cooling function. Shaikh et al [32] have investigated the Jeans gravitational instability of thermally conducting plasma in a variable magnetic field with Hall current, finite conductivity, and viscosity, but they neglect the effect of FLR corrections and radiative heat-loss function on gravitational instability. Aggarwal and Talwar [33] have discussed magnetothermal instability in a rotating gravitating fluid, but they neglect the effect of FLR correction on radiative instability.…”

Section: Isrn Astronomy and Astrophysicsmentioning

confidence: 99%

“…Condition (32) involves the derivatives L * T and L * ρ of the heat-loss function with respect of local temperature and density, and υ * 0 is FLR correction factor in the system. It may be noted that for a density-independent heat-loss function (L * ρ = 0), which increases with temperature (L * T > 0), condition (32) For a purely density-dependent heat-loss function (L * T = 0), condition (32) gives instability if…”

Section: For Nonviscous Mediummentioning

confidence: 99%

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Effect of Radiative Heat-Loss Function and Finite Larmor Radius Corrections on Jeans Instability of Viscous Thermally Conducting Self-Gravitating Astrophysical Plasma

Kaothekar

Chhajlani

2012

ISRN Astronomy and Astrophysics

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The effect of radiative heat-loss function and finite ion Larmor radius (FLR) corrections on the self-gravitational instability of infinite homogeneous viscous plasma has been investigated incorporating the effects of thermal conductivity and finite electrical resistivity for the formation of a star in astrophysical plasma. The general dispersion relation is derived using the normal mode analysis method with the help of relevant linearized perturbation equations of the problem. Furthermore the wave propagation along and perpendicular to the direction of external magnetic field has been discussed. Stability of the medium is discussed by applying Routh Hurwitz's criterion. We find that the presence of radiative heat-loss function and thermal conductivity modify the fundamental Jeans criterion of gravitational instability into radiative instability criterion. From the curves we see that temperature dependent heat-loss function, FLR corrections and viscosity have stabilizing effect, while density dependent heat-loss function has destabilizing effect on the growth rate of self-gravitational instability. Our result shows that the FLR corrections and radiative heat-loss functions affect the star formation.

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“…In this aspect, some theoretical research has been done (e.g. see [3][4][5][6][7][8][9][10][11] and the references therein), in which self-gravitating systems and plasma systems have offered the best framework to research the nonextensive effects [4][5][6][7][8][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

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confidence: 99%

Nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field

Liu

Guo

2011

Chin. Sci. Bull.

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We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive an expression for the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of the q-power-law distribution function in the nonextensive q-kinetic theory. We thus provide the connection between the parameter q≠1 and the spatial-temporal derivatives of the temperature field of the gas as well as the four-potential, and thereby present a clearly physical meaning for the nonextensivity for the relativistic gas.nonextensivity, q-distribution, relativistic gas Citation:Liu Z P, Guo L N, Du J L. Nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field.

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Jeans' gravitational instability of a thermally conducting plasma

Cited by 52 publications

References 28 publications

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

Effect of Radiative Heat-Loss Function and Finite Larmor Radius Corrections on Jeans Instability of Viscous Thermally Conducting Self-Gravitating Astrophysical Plasma

Nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field

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