Effects of dust temperature and radiative heat-loss functions on the magnetogravitational instability of viscoelastic dusty plasma

Sharma, Rajni; Bhardwaj, Sumit; Dhiman, Joginder Singh

doi:10.1007/s10509-020-03822-5

Cited by 6 publications

(4 citation statements)

References 34 publications

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“…We let u i = 1.5 and the initial condition is set as −(2v 0 /B)Exp[(−η/2B)ξ]Cos( √ v 0 /Bξ), where v 0 = 0.1 is the wave speed. The numerical results of Equation (21) show that monotonic shock waves will be formed. Compared with the negative sign in the U 2 0 case, the three curves in Figure 6d almost coincide with each other.…”

Section: Numerical Results and Discussionmentioning

confidence: 95%

“…A number of authors have shown that the existence of charged dust grains could modify the dynamical behavior of electrostatic waves in plasmas. These modifications may be due to the charge variation [ 17 , 18 ], dust size distribution [ 19 ], dust density waves [ 20 ], temperature [ 1 , 21 ], etc. Therefore, the wave properties in dusty plasmas would be quite complicated but interesting, especially for the coherent structure of IAW.…”

Section: Introductionmentioning

confidence: 99%

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Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

Liu

2023

Entropy

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The effects of nonextensive electrons on nonlinear ion acoustic waves in dusty negative ion plasmas with ion–dust collisions are investigated. Analytical results show that both solitary and shock waves are supported in this system. The wave propagation is governed by a Korteweg–de Vries Burgers-type equation. The coefficients of this equation are modified by the nonextensive parameter q. Numerical calculations indicate that the amplitude of solitary wave and oscillatory shock can be obviously modified by the nonextensive electrons, but the monotonic shock is little affected.

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Section: Numerical Results and Discussionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

Liu

2023

Entropy

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“…Field (1965) studied the effects of temperature and density-dependent radiative heat-loss functions on the thermal stability of a dilute non-gravitating gas. Later, this problem has been extensively studied considering the effects of finite Larmor frequency and electrical resistivity (Bora and Talwar 1993), uniform rotation and magnetic field (Aggarwal and Talwar 1969), ion-neutral collisions (Fukue and Kamaya 2007), Hall effect and electron inertia (Prajapati et al 2010), dust temperature and viscoelastic effects (Sharma et al 2020) and porosity of the medium (Kaothekar et al 2022). In these works, the temperature and density-dependent radiative heat-loss functions are considered and it is found that the fundamental thermal instability criterion remains unchanged due to the considered effects.…”

Section: Mathematical Modelmentioning

confidence: 99%

Magnetogravitational instability in strongly coupled rotating clumpy molecular clouds including heating and cooling functions

Dhiman,

Mahajan

2023

Astrophys Space Sci

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The molecular clouds (MCs) formation is caused due to gravitational collapse mechanism and is significantly affected due to radiative heating and cooling processes. The paper analyzes the gravitational instability in the strongly coupled clumpy MCs, under the effects of uniform rotation, magnetic field, and heatloss functions. The generalized hydrodynamic (GHD) equations coupled with the modified energy equation (which incorporates the heating and cooling effects due to cloud-cloud collisions) are used to describe the mathematical model. A general dispersion relation is analytically derived using the normal mode analysis method, by taking the orientations of the magnetic field and uniform rotation along the vertical direction. The Jeans criteria of gravitational instability are obtained for strongly and weakly coupling limits, which are modified due to the Coulomb coupling parameter, heat-loss functions, and viscoelastic coefficients. It is found that the value of the critical wavenumber decreases due to the strong coupling between the plasma particles (coupling parameter) and clump stirring processes (heating rate), thus both have stabilizing influence on the onset of gravitational collapse in clumpy MCs. The influence of various parameters on the growth rate of the instability is discussed numerically and it is found that the cooling rate parameter which described the cloud-cloud collisions shows the destabilizing effect. The region of instability is observed to be smaller in the strongly coupled clumps (kinetic limit) than in the weakly coupled (hydrodynamic limit) clumps. The results are helpful in understanding the role of heating and cooling mechanisms in the MCs formation.

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“…The RC instability has been discussed by Shukla and Sandberg [16] in collisional dusty plasma including the phenomena of self-gravitation. Hence, the study of RC instability along with the phenomena of self-gravitation is essential to discuss in the formation of dense molecular clouds in various astrophysical situations such as intergalactic and interstellar medium [17,18].…”

Section: Introductionmentioning

confidence: 99%

Influence of ionization and ion loss on radiative and gravitational instabilities of inhomogeneous plasma with dust polarization force

Jain¹,

Sharma²

2021

Phys. Scr.

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In the present work, the radiative condensation and gravitational instabilities of inhomogeneous self-gravitating partially ionized dusty plasma have been studied with dust polarization force, ionization and recombination. The basic equations are constructed using four fluid model. The full dynamics of charged dust grains, ions and neutral species are employed considering the electrons as inertialess which have finite thermal conductivity and radiative cooling. The general dispersion relation is derived and discussed for different dusty plasma situations. It is found that the instability conditions are greatly affected due to the polarization force and recombination. Specifically, it is pointed out that the polarization force enhances the growth rate of both the radiative and gravitational instability while the recombination frequency decreases it. Both the parameters have influencing role in short wavelength regime. The e-folding times are calculated for maximum growth rates of gravitational and radiative condensation instabilities. The present work is applicable for study of interstellar molecular clouds and therefore the corresponding free fall time of molecular clouds is also presented.

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Effects of dust temperature and radiative heat-loss functions on the magnetogravitational instability of viscoelastic dusty plasma

Cited by 6 publications

References 34 publications

Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

Magnetogravitational instability in strongly coupled rotating clumpy molecular clouds including heating and cooling functions

Influence of ionization and ion loss on radiative and gravitational instabilities of inhomogeneous plasma with dust polarization force

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