Role of Jeans Instability in Multi-Component Quantum Plasmas in the Presence of Fermi Pressure

Shan, S. Ali; Ahmad, Masood

doi:10.1088/0256-307x/28/7/075204

Cited by 13 publications

(8 citation statements)

References 19 publications

(19 reference statements)

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“…In the absence of thermal effects of ion the above condition (20) resembles with the condition of instability obtained by Shan and Mushtaq 23 in the form of Eq. (12).…”

Section: A Hydrodynamic Regimesupporting

confidence: 73%

“…It is to be noted that the additional term comes into the above condition is the velocity due to compressional effect. This term is not coming into the Jeans condition for hydrodynamic regime, so it is to be mentioned that the ion thermal compressional velocity plays role in the kinetic regime only, when C vs ¼ 0, condition (34) will be converted into condition (23). From condition (34), it is clear that the configuration is unstable, if the value of the wave number k becomes less than the critical value k J2 under the limits (kk D e ( 1) given by…”

Section: B Kinetic Regimementioning

confidence: 99%

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Jeans self gravitational instability of strongly coupled quantum plasma

Sharma¹,

Chhajlani

2014

Physics of Plasmas

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The Jeans self-gravitational instability is studied for quantum plasma composed of weakly coupled degenerate electron fluid and non-degenerate strongly coupled ion fluid. The formulation for such system is done on the basis of two fluid theory. The dynamics of weakly coupled degenerate electron fluid is governed by inertialess momentum equation. The quantum forces associated with the quantum diffraction effects and the quantum statistical effects act on the degenerate electron fluid. The strong correlation effects of ion are embedded in generalized viscoelastic momentum equation including the viscoelasticity and shear viscosities of ion fluid. The general dispersion relation is obtained using the normal mode analysis technique for the two regimes of propagation, i.e., hydrodynamic and kinetic regimes. The Jeans condition of self-gravitational instability is also obtained for both regimes, in the hydrodynamic regime it is observed to be affected by the ion plasma oscillations and quantum parameter while in the kinetic regime in addition to ion plasma oscillations and quantum parameter, it is also affected by the ion velocity which is modified by the viscosity generated compressional effects. The Jeans critical wave number and corresponding critical mass are also obtained for strongly coupled quantum plasma for both regimes.

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“…In the absence of thermal effects of ion the above condition (20) resembles with the condition of instability obtained by Shan and Mushtaq 23 in the form of Eq. (12).…”

Section: A Hydrodynamic Regimesupporting

confidence: 73%

Section: B Kinetic Regimementioning

confidence: 99%

Jeans self gravitational instability of strongly coupled quantum plasma

Sharma¹,

Chhajlani

2014

Physics of Plasmas

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“…The comparison between the electromagnetic and gravitational interactions inside atomic nuclei allows us to limit the EiBI parameter in the range of |χ| < 10 −3 kg −1 • m 5 • s −2 , [44] while we will only adopt the classical value |χ| = 5 × 10 −5 kg −1 • m 5 • s −2 to simplify our result. By substituting ρ 0 = 10 18 kg • m −3 and |χ| = 5 × 10 −5 kg −1 • m 5 • s −2 into expression (16), one can easily find that the value of the Jeans wave-number k 2 J = 8.37 × 10 −6 m −1 and the coefficient (k 2 J /k 2 EiBI + 3D k /C k ) is always greater than zero in the present work because the value of k 2 J /k 2 EiBI (= ρ 0 χ/4σ 2 ) is small than the value of 3D k /C k even in the case of negative EiBI parameter, which can be shown in Fig. 1.…”

mentioning

confidence: 99%

Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity*

et al. 2020

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Based on the framework of Kaniadakis’ statistics and its related kinetic theory, the Jeans instability for self-gravitational systems in the background of Eddington-inspired Born–Infield (EiBI) gravity is revisited. A dispersion relation generalizing the Jeans modes is derived by modifying the Maxwellian distribution to a family of power law distributions parameterized by the κ parameter. It is established that the κ-deformed Kaniadakis distribution has significant effects on the Jeans modes of the collisionless EiBI-gravitational systems. And as expected, in the limitation κ → 0, the corresponding results for Maxwellian case are recovered. The related result in the present work is valuable for the investigations involving the fields of astrophysics such as neutron stars, accretion disks, and relevant plasma physics, etc.

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“…(2015) have investigated the Jeans instability with exchange effects in quantum dusty magnetoplasmas. Shan & Mushtaq (2011) have discussed role of the Jeans instability in a multicomponent quantum plasma in the presence of a Fermi pressure. Sharma & Chhajlani (2013) studied the influence of finite Larmor radius (FLR) effects on the Jeans instability of an infinitely conducting homogeneous quantum plasma using a quantum magnetohydrodynamic (QMHD) model.…”

Section: Introductionmentioning

confidence: 99%

Gravitational instability of rotating magnetized quantum anisotropic plasma

et al. 2017

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The present problem deals with the study of gravitational (Jeans) instability of magnetized, rotating, anisotropic plasmas considering quantum effects. The basic equations of the considered system are constructed using combined Chew–Goldberger–Low (CGL) fluid model and quantum magnetohydrodynamic (QMHD) fluid model. A dispersion relation is obtained using the normal mode technique which is discussed for transverse and longitudinal modes of propagation. It is found that a rotating quantum plasma influences the gravitational mode in transverse propagation but not in longitudinal propagation. The presence of rotation decreases the critical wavenumber and it has a stabilizing effect on the Jeans instability criterion of magnetized quantum plasma in transverse propagation. The firehose instability is unaffected due to the presence of uniform rotation and quantum corrections. We observe from the numerical analysis that region of instability and critical Jeans wavenumber are both decreased due to the presence of uniform rotation. The stabilizing influence of uniform rotation is observed for magnetized, rotating, anisotropic plasmas in the presence of quantum correction. In the case of a longitudinal mode of propagation we found the Jeans instability criterion is not affected by rotation. The quantum diffraction term has a stabilizing effect on the growth rate of the Jeans instability when the wave propagates along the direction of the magnetic field.

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Role of Jeans Instability in Multi-Component Quantum Plasmas in the Presence of Fermi Pressure

Cited by 13 publications

References 19 publications

Jeans self gravitational instability of strongly coupled quantum plasma

Jeans self gravitational instability of strongly coupled quantum plasma

Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity*

Gravitational instability of rotating magnetized quantum anisotropic plasma

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