Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma

The problem of thermal instability and gravitational instability is investigated for a partially ionized self-gravitating plasma which has connection in astrophysical condensations. We use normal mode analysis method in this problem. The general dispersion relation is derived using linearized pertur...

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Main Authors:	Sachin Kaothekar, Ghanshyam D. Soni, Rajendra K. Chhajlani
Format:	Article
Language:	English
Published:	AIP Publishing LLC 2012-12-01
Series:	AIP Advances
Online Access:	http://dx.doi.org/10.1063/1.4773348

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record_format	Article
spelling	doaj-9ba218c072ae4c7a861c1964969e75032020-11-25T00:18:34ZengAIP Publishing LLCAIP Advances2158-32262012-12-0124042191042191-1810.1063/1.4773348091204ADVEffect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasmaSachin Kaothekar0Ghanshyam D. Soni1Rajendra K. Chhajlani2School of Studies in Physics, Vikram University, Ujjain-456010, Madhya Pradesh, IndiaGovernment Girls Degree College, Dewas, Madhya Pradesh, IndiaSchool of Studies in Physics, Vikram University, Ujjain-456010, Madhya Pradesh, IndiaThe problem of thermal instability and gravitational instability is investigated for a partially ionized self-gravitating plasma which has connection in astrophysical condensations. We use normal mode analysis method in this problem. The general dispersion relation is derived using linearized perturbation equations of the problem. Effects of collisions with neutrals, radiative heat-loss function, viscosity, thermal conductivity and magnetic field strength, on the instability of the system are discussed. The conditions of instability are derived for a temperature-dependent and density-dependent heat-loss function with thermal conductivity. Numerical calculations have been performed to discuss the effect of various physical parameters on the growth rate of the gravitational instability. The temperature-dependent heat-loss function, thermal conductivity, viscosity, magnetic field and neutral collision have stabilizing effect, while density-dependent heat-loss function has a destabilizing effect on the growth rate of the gravitational instability. With the help of Routh-Hurwitz's criterion, the stability of the system is discussed.http://dx.doi.org/10.1063/1.4773348
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sachin Kaothekar Ghanshyam D. Soni Rajendra K. Chhajlani
spellingShingle	Sachin Kaothekar Ghanshyam D. Soni Rajendra K. Chhajlani Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma AIP Advances
author_facet	Sachin Kaothekar Ghanshyam D. Soni Rajendra K. Chhajlani
author_sort	Sachin Kaothekar
title	Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
title_short	Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
title_full	Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
title_fullStr	Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
title_full_unstemmed	Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
title_sort	effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma
publisher	AIP Publishing LLC
series	AIP Advances
issn	2158-3226
publishDate	2012-12-01
description	The problem of thermal instability and gravitational instability is investigated for a partially ionized self-gravitating plasma which has connection in astrophysical condensations. We use normal mode analysis method in this problem. The general dispersion relation is derived using linearized perturbation equations of the problem. Effects of collisions with neutrals, radiative heat-loss function, viscosity, thermal conductivity and magnetic field strength, on the instability of the system are discussed. The conditions of instability are derived for a temperature-dependent and density-dependent heat-loss function with thermal conductivity. Numerical calculations have been performed to discuss the effect of various physical parameters on the growth rate of the gravitational instability. The temperature-dependent heat-loss function, thermal conductivity, viscosity, magnetic field and neutral collision have stabilizing effect, while density-dependent heat-loss function has a destabilizing effect on the growth rate of the gravitational instability. With the help of Routh-Hurwitz's criterion, the stability of the system is discussed.
url	http://dx.doi.org/10.1063/1.4773348
work_keys_str_mv	AT sachinkaothekar effectofneutralcollisionandradiativeheatlossfunctiononselfgravitationalinstabilityofviscousthermallyconductingpartiallyionizedplasma AT ghanshyamdsoni effectofneutralcollisionandradiativeheatlossfunctiononselfgravitationalinstabilityofviscousthermallyconductingpartiallyionizedplasma AT rajendrakchhajlani effectofneutralcollisionandradiativeheatlossfunctiononselfgravitationalinstabilityofviscousthermallyconductingpartiallyionizedplasma
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Effect of neutral collision and radiative heat-loss function on self-gravitational instability of viscous thermally conducting partially-ionized plasma

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