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Title: Statistical Simulation of the Magnetorotational Dynamo

Abstract

Turbulence and dynamo induced by the magnetorotational instability (MRI) are analyzed using quasilinear statistical simulation methods. It is found that homogenous turbulence is unstable to a large-scale dynamo instability, which saturates to an inhomogenous equilibrium with a strong dependence on the magnetic Prandtl number (Pm). Despite its enormously reduced nonlinearity, the dependence of the angular momentum transport on Pm in the quasilinear model is qualitatively similar to that of nonlinear MRI turbulence. This demonstrates the importance of the large-scale dynamo and suggests how dramatically simplified models may be used to gain insight into the astrophysically relevant regimes of very low or high Pm.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Max Planck Society, Garching (Germany). Max Planck Inst. for Astrophysik
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
Contributing Org.:
Max Planck Society, Garching (Germany). Max Planck Inst. for Astrophysik
OSTI Identifier:
1260790
Report Number(s):
PPPL-5060
Journal ID: ISSN 0031-9007; PRLTAO
DOE Contract Number:
AC02-09CH11466
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 114; Journal Issue: 8
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Squire, Jonathan, and Bhattacharjee, Amitava. Statistical Simulation of the Magnetorotational Dynamo. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.085002.
Squire, Jonathan, & Bhattacharjee, Amitava. Statistical Simulation of the Magnetorotational Dynamo. United States. doi:10.1103/PhysRevLett.114.085002.
Squire, Jonathan, and Bhattacharjee, Amitava. Sun . "Statistical Simulation of the Magnetorotational Dynamo". United States. doi:10.1103/PhysRevLett.114.085002. https://www.osti.gov/servlets/purl/1260790.
@article{osti_1260790,
title = {Statistical Simulation of the Magnetorotational Dynamo},
author = {Squire, Jonathan and Bhattacharjee, Amitava},
abstractNote = {Turbulence and dynamo induced by the magnetorotational instability (MRI) are analyzed using quasilinear statistical simulation methods. It is found that homogenous turbulence is unstable to a large-scale dynamo instability, which saturates to an inhomogenous equilibrium with a strong dependence on the magnetic Prandtl number (Pm). Despite its enormously reduced nonlinearity, the dependence of the angular momentum transport on Pm in the quasilinear model is qualitatively similar to that of nonlinear MRI turbulence. This demonstrates the importance of the large-scale dynamo and suggests how dramatically simplified models may be used to gain insight into the astrophysically relevant regimes of very low or high Pm.},
doi = {10.1103/PhysRevLett.114.085002},
journal = {Physical Review Letters},
number = 8,
volume = 114,
place = {United States},
year = {Sun Feb 01 00:00:00 EST 2015},
month = {Sun Feb 01 00:00:00 EST 2015}
}