Broken symmetry in ideal magnetohydrodynamic turbulence

John V. Shebalin

doi:10.1063/1.870798

Broken symmetry in ideal magnetohydrodynamic turbulence

Physics of Plasmas ◽

10.1063/1.870798 ◽

1994 ◽

Vol 1 (3) ◽

pp. 541-547 ◽

Cited By ~ 20

Author(s):

John V. Shebalin

Keyword(s):

Broken Symmetry ◽

Magnetohydrodynamic Turbulence ◽

Ideal Magnetohydrodynamic

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SUB-ALFVÉNIC NON-IDEAL MAGNETOHYDRODYNAMIC TURBULENCE SIMULATIONS WITH AMBIPOLAR DIFFUSION. III. IMPLICATIONS FOR OBSERVATIONS AND TURBULENT ENHANCEMENT

The Astrophysical Journal ◽

10.1088/0004-637x/744/1/73 ◽

2011 ◽

Vol 744 (1) ◽

pp. 73 ◽

Cited By ~ 12

Author(s):

Pak Shing Li ◽

Christopher F. McKee ◽

Richard I. Klein

Keyword(s):

Ambipolar Diffusion ◽

Magnetohydrodynamic Turbulence ◽

Ideal Magnetohydrodynamic

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Theory and simulation of real and ideal magnetohydrodynamic turbulence

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2005.5.153 ◽

2004 ◽

Vol 5 (1) ◽

pp. 153-174 ◽

Cited By ~ 6

Author(s):

John Shebalin

Keyword(s):

Magnetohydrodynamic Turbulence ◽

Ideal Magnetohydrodynamic

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Temperature and Entropy in Ideal Magnetohydrodynamic Turbulence

Journal of Fluids Engineering ◽

10.1115/1.4025674 ◽

2014 ◽

Vol 136 (6) ◽

Cited By ~ 3

Author(s):

John V. Shebalin

Keyword(s):

Dynamical System ◽

Probability Density Function ◽

Fourier Analysis ◽

Numerical Experiments ◽

Magnetic Energy ◽

Fourier Mode ◽

Mhd Turbulence ◽

Magnetohydrodynamic Turbulence ◽

Ideal Mhd ◽

Ideal Magnetohydrodynamic

Fourier analysis of incompressible, homogeneous magnetohydrodynamic (MHD) turbulence produces a model dynamical system on which to perform numerical experiments. Statistical methods are used to understand the results of ideal (i.e., nondissipative) MHD turbulence simulations, with the goal of finding those aspects that survive the introduction of dissipation. This statistical mechanics is based on a Boltzmannlike probability density function containing three “inverse temperatures,” one associated with each of the three ideal invariants: energy, cross helicity, and magnetic helicity. However, these inverse temperatures are seen to be functions of a single parameter that may defined as the “temperature” in a statistical and thermodynamic sense: the average magnetic energy per Fourier mode. Here, we discuss temperature and entropy in ideal MHD turbulence and their use in understanding numerical experiments and physical observations.

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