Jeans instability in strongly coupled clumpy molecular cloud with dissipative effects

Dhiman, Joginder Singh; Mahajan, Mehak

doi:10.1007/s12036-022-09894-9

Cited by 5 publications

(4 citation statements)

References 27 publications

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“…Hence, the Jeans length of the molecular clouds λ j5 ≃ 0.44 pc which is comparable to the length scale of cores within the cloud clumps (Bergin and Tafalla 2007). It is also observed that the calculated value of the Jeans wavelength is larger as compared to the value calculated by Dhiman and Mahajan (2023) for the clumpy MCs with dissipative effects.…”

Section: Kinetic Limitmentioning

confidence: 56%

“…Equation ( 15) is the modified form of the dispersion relation for the clumpy cloudy medium in the presence of uniform rotation, magnetic fields, and viscoelastic effects. If the effects of rotation and magnetic field are neglected, we get the same dispersion relation as obtained by Dhiman and Mahajan (2023) neglecting diseffects in that case. This dispersion relation is useful to discuss the Jeans instability in a molecular cloud clump undergoing the heating and cooling mechanisms.…”

Section: Dispersion Relationmentioning

confidence: 56%

“…Previous works include the effects of viscoelastic coefficients (Janaki et al 2011), electrical resistivity (Prajapati and Chhajlani 2013), rotation (Dhiman and Sharma 2014) and quantum corrections (Sharma and Chhajlani 2014) on the Jeans instability in strongly coupled viscoelastic fluid. Dhiman and Mahajan (2023) studied the gravitational instability in strongly coupled viscoelastic clumpy MCs considering dissipative effects. However, the effects of magnetic field and rotation were ignored due to the limitations of the considered configuration.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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.

show abstract

Section: Kinetic Limitmentioning

confidence: 56%

Section: Dispersion Relationmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Dhiman,

Mahajan

2023

Astrophys Space Sci

Self Cite

View full text Add to dashboard Cite

show abstract

“…Equation ( 15) is the modified form of the dispersion relation for the clumpy cloudy medium in the presence of uniform rotation, magnetic fields, and viscoelastic effects. If the effects of rotation and magnetic field are neglected, we get the same dispersion relation as obtained by Dhiman and Mahajan (2023) neglecting dissipative effects in that case. This dispersion relation is useful to discuss the Jeans instability in a molecular cloud clump undergoing the heating and cooling mechanisms.…”

Section: Dispersion Relationmentioning

confidence: 57%

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

Dhiman

Mahajan

2023

Preprint

View full text Add to dashboard Cite

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 heat-loss 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.

show abstract

Effects of galactic cosmic rays and finite electrical resistivity on the Jeans instability in magnetized viscoelastic fluid

Dhiman

Mahajan

2023

Astrophys Space Sci

View full text Add to dashboard Cite

Jeans instability in strongly coupled clumpy molecular cloud with dissipative effects

Cited by 5 publications

References 27 publications

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

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

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

Effects of galactic cosmic rays and finite electrical resistivity on the Jeans instability in magnetized viscoelastic fluid

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