Magnetohydrodynamic stability of stochastically driven accretion flows

Sujit K. Nath, Banibrata Mukhopadhyay, Amit K. Chattopadhyay

Research output: Contribution to journalArticle

Abstract

We investigate the evolution of magnetohydrodynamic (or hydromagnetic as coined by Chandrasekhar) perturbations in the presence of stochastic noise in rotating shear flows. The particular emphasis is the flows whose angular velocity decreases but specific angular momentum increases with increasing radial coordinate. Such flows, however, are Rayleigh stable but must be turbulent in order to explain astrophysical observed data and, hence, reveal a mismatch between the linear theory and observations and experiments. The mismatch seems to have been resolved, at least in certain regimes, in the presence of a weak magnetic field, revealing magnetorotational instability. The present work explores the effects of stochastic noise on such magnetohydrodynamic flows, in order to resolve the above mismatch generically for the hot flows. We essentially concentrate on a small section of such a flow which is nothing but a plane shear flow supplemented by the Coriolis effect, mimicking a small section of an astrophysical accretion disk around a compact object. It is found that such stochastically driven flows exhibit large temporal and spatial autocorrelations and cross-correlations of perturbation and, hence, large energy dissipations of perturbation, which generate instability. Interestingly, autocorrelations and cross-correlations appear independent of background angular velocity profiles, which are Rayleigh stable, indicating their universality. This work initiates our attempt to understand the evolution of three-dimensional hydromagnetic perturbations in rotating shear flows in the presence of stochastic noise. © 2013 American Physical Society.

Original languageEnglish
Article number013010
JournalPhysical Review E
Volume88
Issue number1
DOIs
Publication statusPublished - 17 Jul 2013

Fingerprint

Accretion
magnetohydrodynamic stability
shear flow
magnetohydrodynamics
perturbation
Shear Flow
Perturbation
Rotating Flow
angular velocity
cross correlation
autocorrelation
Angular velocity
Cross-correlation
astrophysics
Rayleigh
Coriolis effect
Accretion Disks
Spatial Autocorrelation
magnetohydrodynamic flow
Magnetohydrodynamic Flow

Keywords

  • cross-correlations
  • magneto-hydrodynamic flow
  • magnetohydrodynamic stability
  • magnetorotational instability
  • radial coordinates
  • rotating shear flow
  • temporal and spatial
  • weak magnetic fields
  • angular velocity
  • astrophysics
  • autocorrelation
  • energy dissipation
  • magnetohydrodynamics
  • stochastic systems
  • shear flow

Cite this

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abstract = "We investigate the evolution of magnetohydrodynamic (or hydromagnetic as coined by Chandrasekhar) perturbations in the presence of stochastic noise in rotating shear flows. The particular emphasis is the flows whose angular velocity decreases but specific angular momentum increases with increasing radial coordinate. Such flows, however, are Rayleigh stable but must be turbulent in order to explain astrophysical observed data and, hence, reveal a mismatch between the linear theory and observations and experiments. The mismatch seems to have been resolved, at least in certain regimes, in the presence of a weak magnetic field, revealing magnetorotational instability. The present work explores the effects of stochastic noise on such magnetohydrodynamic flows, in order to resolve the above mismatch generically for the hot flows. We essentially concentrate on a small section of such a flow which is nothing but a plane shear flow supplemented by the Coriolis effect, mimicking a small section of an astrophysical accretion disk around a compact object. It is found that such stochastically driven flows exhibit large temporal and spatial autocorrelations and cross-correlations of perturbation and, hence, large energy dissipations of perturbation, which generate instability. Interestingly, autocorrelations and cross-correlations appear independent of background angular velocity profiles, which are Rayleigh stable, indicating their universality. This work initiates our attempt to understand the evolution of three-dimensional hydromagnetic perturbations in rotating shear flows in the presence of stochastic noise. {\circledC} 2013 American Physical Society.",
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Magnetohydrodynamic stability of stochastically driven accretion flows. / Nath, Sujit K.; Mukhopadhyay, Banibrata; Chattopadhyay, Amit K.

In: Physical Review E, Vol. 88, No. 1, 013010, 17.07.2013.

Research output: Contribution to journalArticle

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