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We present a scaling law that predicts the values of the stresses obtained in numerical simulations of saturated MRI-driven turbulence in non-stratified shearing boxes. It relates the turbulent stresses to the strength of the vertical…

Astrophysics · Physics 2009-11-13 Martin E. Pessah , Chi-kwan Chan , Dimitrios Psaltis

The emergence of turbulence in shear flows is a well-investigated field. Yet, one of major issues is the apparent contradiction between linear stability analysis quoting a flow to be stable and results from experiments and simulations…

High Energy Astrophysical Phenomena · Physics 2018-09-28 Tanayveer Singh Bhatia , Banibrata Mukhopadhyay

(abridged) MHD turbulence is known to exist in shearing boxes with either zero or nonzero net magnetic flux. However, the way turbulence survives in the zero-net-flux case is not explained by linear theory and appears as a purely numerical…

Astrophysics · Physics 2009-11-13 G. Lesur , G. I. Ogilvie

Magnetic fields play an important role in astrophysics on a wide variety of scales, ranging from the Sun and compact objects to galaxies and galaxy clusters. Here we discuss a novel implementation of ideal magnetohydrodynamics (MHD) in the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Ruediger Pakmor , Andreas Bauer , Volker Springel

We describe local shearing box simulations of turbulence driven by the magnetorotational instability (MRI) in a collisionless plasma. Collisionless effects may be important in radiatively inefficient accretion flows, such as near the black…

Astrophysics · Physics 2009-11-13 Prateek Sharma , Gregory W. Hammett , Eliot Quataert , James M. Stone

The magnetorotational instability (MRI) plays a crucial role in regulating the accretion efficiency in astrophysical accretion disks. In low-luminosity disks around black holes, such as Sgr A* and M87, Coulomb collisions are infrequent,…

High Energy Astrophysical Phenomena · Physics 2023-08-25 Astor Sandoval , Mario Riquelme , Anatoly Spitkovsky , Fabio Bacchini

We investigate magnetohydrodynamic turbulence driven by the magnetorotational instability (MRI) in Keplerian disks with a nonzero net azimuthal magnetic field using shearing box simulations. As distinct from most previous studies, we…

Earth and Planetary Astrophysics · Physics 2017-08-23 D. Gogichaishvili , G. Mamatsashvili , W. Horton , G. Chagelishvili , G. Bodo

Local shearing box simulations of stratified magneto rotational turbulence invariably exhibit cyclic field patterns which propagate away from the disc midplane. A common explanation for this is magnetic buoyancy. The recent analysis by Shi…

Earth and Planetary Astrophysics · Physics 2015-05-18 Oliver Gressel

Aims: We study the changes in the properties of turbulence driven by the magnetorotational instability in a shearing box, as the computational domain size in the radial direction is varied relative to the height Methods: We perform 3D…

Astrophysics · Physics 2009-11-13 G. Bodo , A. Mignone , F. Cattaneo , P. Rossi , A. Ferrari

We present full 2 Pi global 3-D stratified MHD simulations of accretion disks. We interpret our results in the context of proto-planetary disks. We investigate the turbulence driven by the magneto-rotational instability (MRI) using the…

Earth and Planetary Astrophysics · Physics 2015-05-27 M. Flock , N. Dzyurkevich , H. Klahr , N. J. Turner , Th. Henning

We consider the problem of convergence in homogeneous shearing box simula- tions of magneto-rotationally driven turbulence. When there is no mean magnetic flux, if the equations are non dimensionalized with respect to the diffusive scale,…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Gianluigi Bodo , Fausto Cattaneo , Attilio Ferrari , Andrea Mignone , Paola Rossi

In astrophysics, turbulent diffusion is often used in place of microphysical diffusion to avoid resolving the small scales. However, we expect this approach to break down when time and length scales of the turbulence become comparable with…

Solar and Stellar Astrophysics · Physics 2014-09-05 M. S. Väisälä , A. Brandenburg , Dhrubaditya Mitra , P. J. Käpylä , M. J. Mantere

The extent to which angular momentum transport in accretion discs is primarily local or non-local and what determines this is an important avenue of study for understanding accretion engines. Taking a step along this path, we analyze…

Solar and Stellar Astrophysics · Physics 2014-10-28 Farrukh Nauman , Eric G. Blackman

We investigate the evolution of hydromagnetic perturbations in a small section of accretion disks. It is known that molecular viscosity is negligible in accretion disks. Hence, it has been argued that Magnetorotational Instability (MRI) is…

High Energy Astrophysical Phenomena · Physics 2016-03-02 Sujit K. Nath , Banibrata Mukhopadhyay

The saturation of the magnetorotational (MRI) instability in thin Keplerian disks through three wave resonant interactions is introduced and discussed. That mechanism is a natural generalization of the fundamental decay instability…

Plasma Physics · Physics 2015-06-16 Yuri Shtemler , Edward Liverts , Michael Mond

We analyze the linear growth of the magnetorotational instability (MRI) in the short time limit using nonmodal methods. Our findings are quite different to standard results, illustrating that shearing wave energy can grow at the maximum MRI…

Plasma Physics · Physics 2014-12-01 Jonathan Squire , Amitava Bhattacharjee

The initial magnetic field of previous magnetorotational instability (MRI) simulations has always included a significant system-scale component, even if stochastic. However, it is of conceptual and practical interest to assess whether the…

High Energy Astrophysical Phenomena · Physics 2017-10-13 Pallavi Bhat , Fatima Ebrahimi , Eric G. Blackman , Kandaswamy Subramanian

We investigate the evolution of hydromagnetic perturbations in a small section of accretion disks. It is known that molecular viscosity is negligible in accretion disks. Hence, it has been argued that a mechanism, known as Magnetorotational…

High Energy Astrophysical Phenomena · Physics 2015-08-12 Sujit Kumar Nath , Banibrata Mukhopadhyay

In simulations of viscously evolving accretion disks, the inner boundary condition is particularly important. If treated incorrectly, it induces incorrect behavior very quickly, because the viscous time is shortest near the inner boundary.…

Earth and Planetary Astrophysics · Physics 2020-04-08 Adam M. Dempsey , Diego Muñoz , Yoram Lithwick

Magnetohydrodynamic (MHD) turbulence driven by the magnetorotational instability can provide diffusive transport of angular momentum in astrophysical disks, and a widely studied computational model for this process is the ideal, stratified,…

High Energy Astrophysical Phenomena · Physics 2017-05-03 Benjamin R. Ryan , Charles F. Gammie , Sebastien Fromang , Pierre Kestener