Compressible Alfven turbulence in one dimension

Journal Article · Tue Sep 01 00:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.R2709· OSTI ID:641626

Fleischer, J; Diamond, P H ^[1]

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1. Physics Department, University of California, San Diego, La Jolla, California 92093-0319 (United States)

We present the simplest extension of the Burgers equation to include the effects of magnetic pressure. For unity magnetic Prandtl number, an exact solution exists that describes Alfvenic shock waves. For forced turbulence with arbitrary diffusivities, renormalized perturbation theory is used to show that the only stable, physically accessible fixed point corresponds to a state of equidissipation. Energy equipartition, however, requires the equality of the forcing functions. Implications for the spectra of turbulence and self-organization phenomena in magnetohydrodynamics are discussed. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 641626
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 58; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
COMPRESSIBLE FLOW
DIFFUSION
MAGNETOHYDRODYNAMICS
PERTURBATION THEORY
PLASMA FLUID EQUATIONS
RENORMALIZATION
SHOCK WAVES
TURBULENCE