Effect of rotation on structure formation of degenerate anisotropic white dwarfs

Sharma, Prerana; Patidar, Archana; Jain, Shweta

doi:10.1007/s10509-017-3134-8

Astrophys Space Sci

2017

DOI: 10.1007/s10509-017-3134-8

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Effect of rotation on structure formation of degenerate anisotropic white dwarfs

Prerana Sharma¹,

Archana Patidar²,

Shweta Jain³

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Cited by 3 publications

References 25 publications

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Effects of Hall current and electrical resistivity on the stability of gravitating anisotropic quantum plasma

Bhakta

Prajapati

2018

Physics of Plasmas

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The effects of Hall current and finite electrical resistivity are studied on the stability of uniformly rotating and self-gravitating anisotropic quantum plasma. The generalized Ohm's law modified by Hall current and electrical resistivity is used along with the quantum magnetohydrodynamic fluid equations. The general dispersion relation is derived using normal mode analysis and discussed in the parallel and perpendicular propagations. In the parallel propagation, the Jeans instability criterion, expression of critical Jeans wavenumber, and Jeans length are found to be independent of non-ideal effects and uniform rotation but in perpendicular propagation only rotation affects the Jeans instability criterion. The unstable gravitating mode modified by Bohm potential and the stable Alfven mode modified by non-ideal effects are obtained separately. The criterion of firehose instability remains unaffected due to the presence of non-ideal effects. In the perpendicular propagation, finite electrical resistivity and quantum pressure anisotropy modify the dispersion relation, whereas no effect of Hall current was observed in the dispersion characteristics. The Hall current, finite electrical resistivity, rotation, and quantum corrections stabilize the growth rate. The stability of the dynamical system is analyzed using the Routh-Hurwitz criterion.

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Effects of Hall current and electrical resistivity on the stability of gravitating anisotropic quantum plasma

Bhakta

Prajapati

2018

Physics of Plasmas

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Dynamics of flow-induced instability in gyrogravitating complex viscoelastic quantum fluids

Das

Karmakar

2018

AIP Advances

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The flow-induced excitation dynamics of electrostatic dust-streaming instability mode supported in illimitable complex gyrogravitating viscoelastic quantum plasma fluids in a spatially flat-geometry configuration is analyzed in the non-relativistic regime. The constitutive lighter electrons (larger de-Broglie wavelength) are only treated as quantum degenerate particles leaving the rest as classical. The semi-analytic formalism is based on the fabric of generalized quantum hydrodynamic model ameliorated with a dimensionality-dependent gradient correction prefactor in the electronic quantum Bohm potential. The nonlinear logatropic barotropic effects arising from fluid turbulence is included. It assumes that perturbations in the longitudinal direction do not excite any transverse mode counterparts. A standard normal mode analysis yields a linear generalized (quartic) dispersion relation. A numerical illustrative perspective is executed in the extreme hydro-kinetic regimes. Active agencies affecting the fluid stability are identified and discussed. It is seen that the quantum parameter plays a destabilizing role in both the hydro-kinetic regimes. The equilibrium dust drift acts as a stabilizing agent in both the regimes. The quantum correction prefactor introduces stabilizing and destabilizing effects in the hydro-kinetic regimes; respectively. In addition, the Coriolis rotation introduces stabilizing effect in both the regimes. Finally, implications and applications of our results in the context of gyrogravitational compact dwarf stars and their environs in are summarily outlined.

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Magnetohydrodynamic wave modes in relativistic anisotropic quantum plasma

Patidar¹,

Sharma²

2020

Physics of Plasmas

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This paper presents an overview of waves and instabilities in relativistic degenerate plasma using magnetohydrodynamic double polytropic laws. The model equations are closed by the double polytropic laws. The general dispersion relation has been derived using the normal mode analysis, which consists of two interesting modes, i.e., shear Alfvén mode and modified magnetosonic modes (both slow and fast). The shear Alfvén mode is significantly modified by anisotropic pressure and relativistic effects and remains unaffected from quantum effects. The shear Alfvén mode develops the firehose instability, which is free from the relativistic factor. The obtained slow and fast magnetosonic modes are further discussed in parallel, perpendicular, and oblique modes of propagation. The Alfvén and sound waves propagate in parallel mode, while only the magnetosonic mode propagates in perpendicular mode. The sound wave and magnetosonic wave modes are found to be modified by relativistic and quantum effects. The oblique wave propagation provides fast and slow modes, which propagate with the combined force of anisotropic pressure, Bohm force, magnetic field, and exchange potential. The applicability of the results obtained from the dispersion relation in the relativistic degenerate anisotropic magnetohydrodynamic model can be to the pulsar magnetosphere environment.

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Effect of rotation on structure formation of degenerate anisotropic white dwarfs

Cited by 3 publications

References 25 publications

Effects of Hall current and electrical resistivity on the stability of gravitating anisotropic quantum plasma

Effects of Hall current and electrical resistivity on the stability of gravitating anisotropic quantum plasma

Dynamics of flow-induced instability in gyrogravitating complex viscoelastic quantum fluids

Magnetohydrodynamic wave modes in relativistic anisotropic quantum plasma

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