Algebraic bosonisation: the case of the Dirac fermion

Chakrabarti, Jayprokas; Basu, A.; Bagchi, B.

doi:10.1016/s0370-2693(01)00040-5

Cited by 4 publications

(2 citation statements)

References 3 publications

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“…In any case, with a general knowledge of the outflow rate, we can now proceed to estimate several important quantities. For example, it had been argued that the composition of the disk changes due to nucleosynthesis in accretion disks around black holes and this modified isotopes are deposited in the surroundings by outflows from the disks ( [35][36] and references therein). Similarly, it is argued that outflows deposit magnetic flux tubes from accretion disks into the surroundings [37].…”

Section: Discussionmentioning

confidence: 99%

Mass outflow rate from accretion discs around compact objects

Das

Chakrabarti

1999

Class. Quantum Grav.

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Abstract.We compute mass outflow rates from accretion disks around compact objects, such as neutron stars and black holes. These computations are done using combinations of exact transonic inflow and outflow solutions which may or may not form standing shock waves. Assuming that the bulk of the outflow is from the effective boundary layers of these objects, we find that the ratio of the outflow rate and inflow rate varies anywhere from a few percent to even close to a hundred percent (i.e., close to disk evacuation case) depending on the initial parameters of the disk, the degree of compression of matter near the centrifugal barrier, and the polytropic index of the flow. Our result, in general, matches with the outflow rates obtained through a fully time-dependent numerical simulation. In some region of the parameter space when the standing shock does not form, our results indicate that the disk may be evacuated and may produce quiescence states.

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Section: Discussionmentioning

confidence: 99%

Mass outflow rate from accretion discs around compact objects

Das

Chakrabarti

1999

Class. Quantum Grav.

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“…Thus integrating the velocity gradient (i.e., equations (13) and (14)) with appropriate boundary conditions [1] we can obtain the flow properties. The solution procedure has been discussed in detail in previous work [49,50], which is not repeated here. It is to be noted that if we put α = 0, β → − κ, n → − γ, then we obtain p = κρ γ .…”

Section: Basic Equationsmentioning

confidence: 99%

Accretion of Chaplygin gas upon black holes: formation of faster outflowing winds

Biswas¹,

Chakraborty²,

Saini³

et al. 2011

Class. Quantum Grav.

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We study the accretion of modified Chaplygin gas upon different types of black hole. Modified Chaplygin gas is one of the best candidates for a combined model of dark matter and dark energy. In addition, from a field theoretical point of view the modified Chaplygin gas model is equivalent to that of a scalar field having a self-interacting potential. We formulate the equations related to both spherical accretion and disc accretion, and respective winds. The corresponding numerical solutions of the flow, particularly of velocity, are presented and are analyzed. We show that the accretion-wind system of modified Chaplygin gas dramatically alters the wind solutions, producing faster winds, upon changes in physical parameters, while accretion solutions qualitatively remain unaffected. This implies that modified Chaplygin gas is more prone to produce outflow which is the natural consequence of the dark energy into the system.

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Fermion to boson mapping

Basu

Chakrabarti

2005

Annals of Physics

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Algebraic bosonisation: the case of the Dirac fermion

Cited by 4 publications

References 3 publications

Mass outflow rate from accretion discs around compact objects

Mass outflow rate from accretion discs around compact objects

Accretion of Chaplygin gas upon black holes: formation of faster outflowing winds

Fermion to boson mapping

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