Magnetic field diffusion in semi-ideal magnetohydrodynamics

A. V. Gruzinov; M. B. Isichenko; P. H. Diamond

doi:10.1063/1.871136

Magnetic field diffusion in semi-ideal magnetohydrodynamics

A. V. Gruzinov, M. B. Isichenko, P. H. Diamond

Research output: Contribution to journal › Letter › peer-review

Abstract

Diffusion of magnetic fields in semi-ideal magnetohydrodynamics (σ_∥=∞, σ_⊥ is finite) is studied. Though the magnetic field is frozen into an auxiliary medium, current layers are shown to develop for generic initial conditions. The final stage of the magnetic field evolution is described by a two-dimensional isotopological diffusion equation for the magnetic streamfunction ψ(x,y): ∂_tψ={ψ,χ}, where χ is the streamfunction of the auxiliary medium given by ∇²χ={ψ,∇²ψ}, and {,} is a two-dimensional Jacobian.

Original language	English (US)
Pages (from-to)	3541-3542
Number of pages	2
Journal	Physics of Plasmas
Volume	2
Issue number	9
DOIs	https://doi.org/10.1063/1.871136
State	Published - 1995

Keywords

DIFFUSION
MAGNETIC FIELD CONFIGURATIONS
MAGNETOHYDRODYNAMICS
OHM LAW
SOLAR CORONA
TOPOLOGY

ASJC Scopus subject areas

Condensed Matter Physics

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10.1063/1.871136

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title = "Magnetic field diffusion in semi-ideal magnetohydrodynamics",

abstract = "Diffusion of magnetic fields in semi-ideal magnetohydrodynamics (σ∥=∞, σ⊥ is finite) is studied. Though the magnetic field is frozen into an auxiliary medium, current layers are shown to develop for generic initial conditions. The final stage of the magnetic field evolution is described by a two-dimensional isotopological diffusion equation for the magnetic streamfunction ψ(x,y): ∂tψ={ψ,χ}, where χ is the streamfunction of the auxiliary medium given by ∇2χ={ψ,∇2ψ}, and {,} is a two-dimensional Jacobian.",

keywords = "DIFFUSION, MAGNETIC FIELD CONFIGURATIONS, MAGNETOHYDRODYNAMICS, OHM LAW, SOLAR CORONA, TOPOLOGY",

author = "Gruzinov, {A. V.} and Isichenko, {M. B.} and Diamond, {P. H.}",

year = "1995",

doi = "10.1063/1.871136",

language = "English (US)",

volume = "2",

pages = "3541--3542",

journal = "Physics of Plasmas",

issn = "1070-664X",

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TY - JOUR

T1 - Magnetic field diffusion in semi-ideal magnetohydrodynamics

AU - Gruzinov, A. V.

AU - Isichenko, M. B.

AU - Diamond, P. H.

PY - 1995

Y1 - 1995

N2 - Diffusion of magnetic fields in semi-ideal magnetohydrodynamics (σ∥=∞, σ⊥ is finite) is studied. Though the magnetic field is frozen into an auxiliary medium, current layers are shown to develop for generic initial conditions. The final stage of the magnetic field evolution is described by a two-dimensional isotopological diffusion equation for the magnetic streamfunction ψ(x,y): ∂tψ={ψ,χ}, where χ is the streamfunction of the auxiliary medium given by ∇2χ={ψ,∇2ψ}, and {,} is a two-dimensional Jacobian.

AB - Diffusion of magnetic fields in semi-ideal magnetohydrodynamics (σ∥=∞, σ⊥ is finite) is studied. Though the magnetic field is frozen into an auxiliary medium, current layers are shown to develop for generic initial conditions. The final stage of the magnetic field evolution is described by a two-dimensional isotopological diffusion equation for the magnetic streamfunction ψ(x,y): ∂tψ={ψ,χ}, where χ is the streamfunction of the auxiliary medium given by ∇2χ={ψ,∇2ψ}, and {,} is a two-dimensional Jacobian.

KW - DIFFUSION

KW - MAGNETIC FIELD CONFIGURATIONS

KW - MAGNETOHYDRODYNAMICS

KW - OHM LAW

KW - SOLAR CORONA

KW - TOPOLOGY

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U2 - 10.1063/1.871136

DO - 10.1063/1.871136

M3 - Letter

AN - SCOPUS:82455215495

SN - 1070-664X

VL - 2

SP - 3541

EP - 3542

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 9

ER -

Magnetic field diffusion in semi-ideal magnetohydrodynamics

Abstract

Keywords

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