Magnetofluid dynamics in curved spacetime

Bhattacharjee, Chinmoy; Das, Rupam; Mahajan, S. M.

doi:10.1103/physrevd.91.064055

Cited by 16 publications

(35 citation statements)

References 29 publications

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“…For special astrophysical conditions, canonical vorticity would also have a quantum-mechanical part [see (Mahajan & Asenjo 2011;Asenjo & Mahajan 2015) for spinning plasmas], even a general relativistic component [see e.g. (Bhattacharjee et al 2015) for Black Hole accretion disks] in addition to the electromagnetic, kinetic and thermal contributions. For most applications these corrections are negligibly small.…”

Section: Model Equationsmentioning

confidence: 99%

On the relaxed states in the mixture of degenerate and non-degenerate hot plasmas of astrophysical objects

Shatashvili

Mahajan

Berezhiani

2019

Astrophys Space Sci

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It is shown that a small contamination of a relativistically hot electron component can induce a new scale (for structure formation) to a system consisting of an ion-degenerate electron plasma. Mathematically expression of this additional scale length is the increase in the index of quasi-equilibrium Beltrami-Bernoulli states that have been invoked to model several astrophysical systems of interest. The two species of electrons, due to different origin of their relativistic effective masses, behave as two distinct components (each with its own conserved helicity) and add to the richness of the accessible quasi equilibrium states. Determined by the concrete parameters of the system, the new macro-scale lengths (much larger than the short intrinsic scale lengths (skin depths) and generally much shorter than the system size) open new pathways for energy transformations.

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Section: Model Equationsmentioning

confidence: 99%

On the relaxed states in the mixture of degenerate and non-degenerate hot plasmas of astrophysical objects

Shatashvili

Mahajan

Berezhiani

2019

Astrophys Space Sci

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“…This requires extending the definition of classical generalized vorticity to relativistic plasmas. The relativistic formalism, termed 'magnetofluid unification' (henceforth the magnetofluid formalism) and first proposed in ( [12]) and later extended in [13,14], replaces the regular fluid vorticity ( ∇ × V ) with a composite thermo-kinetic fluid vorticity ( ∇×GΓ V ) where G is the thermodynamic factor and Γ is the Lorentz factor.…”

Section: Introductionmentioning

confidence: 99%

Black hole in a superconducting plasma

2019

Self Cite

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The generalized vortical formalism provides an electrodynamic description for superconducting states-in the generalized vortical formalism, a superconducting state may be defined by the vanishing of an appropriate generalized vorticity and characterized by zero generalized helicity for incompressible fluids. In this article, we investigate these states for compressible plasmas in black hole spacetime geometries using the curved spacetime generalization of the grand generalized vortical formalism. If the magnetic field is axisymmetric and the thermodynamic properties are symmetric about the equatorial plane, the resulting states are characterized by a vanishing skin depth and a complete expulsion of the magnetic field at the equator of the black hole horizon. Moreover, if the thermodynamic properties of the plasma are uniform at the horizon, we find that the magnetic field is completely expelled from the horizon, and the plasma behaves as a perfect superconductor near the horizon. This result is independent of the spin of a black hole, holding even for a (nonrotating) Schwarzschild black hole, and demonstrates that the geometry near black hole horizons can have a significant effect on the electrodynamics of surrounding plasmas.

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“…The earlier special relativistic theory [9] was extended to explore general relativistic effects in Refs. [1][2][3][4][5]. It was shown that a combination of gravity modified Lorentz factor of the fluid element and the spatial variation of plasma thermodynamics, leads to an additional (to the special relativistic mechanism [11,12]) source that creates a vorticity seed out of a state with no initial vortic- * Electronic address: felipe.asenjo@uai.cl † Electronic address: mahajan@mail.utexas.edu ity.…”

Section: Introductionmentioning

confidence: 99%

Diamagnetic field states in cosmological plasmas

Asenjo

Mahajan

2019

Phys. Rev. E

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Using a generally covariant Electro-Vortic (magnetofluid) formalism for relativistic plasmas, the dynamical evolution of a generalized vorticity (a combination of the magnetic and kinematic parts) is studied in a cosmological context. We derive macroscopic vorticity and magnetic field structures that can emerge in spatial equilibrium configurations of the relativistic plasma. These fields, however, evolve in time. These magnetic and velocity fields fields are self-consistently sustained in a diamagnetic state in the expanding Universe, and do not require an external seed for their existence. In particular, we explore a special class of magnetic/velocity field structures supported by a plasma in which the generalized vorticity vanishes. We derive a highly interesting characteristic of such "superconductor-like" fields in a cosmological plasmas in the radiation-era in early Universe. In that case, the fields grow proportional to the scale factor, establishing a deep connection between the expanding universe and the primordial magnetic fields.

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Magnetofluid dynamics in curved spacetime

Cited by 16 publications

References 29 publications

On the relaxed states in the mixture of degenerate and non-degenerate hot plasmas of astrophysical objects

On the relaxed states in the mixture of degenerate and non-degenerate hot plasmas of astrophysical objects

Black hole in a superconducting plasma

Diamagnetic field states in cosmological plasmas

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