Nonlinear theory of slow dissipative layers in anisotropic plasmas

Journal Article · Thu Jan 01 04:00:00 EST 1998 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.872695· OSTI ID:565803

Ballai, I ^[1]; Ruderman, M S; Erdelyi, R ^[2]

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1. Department of Astronomy, Eoetvoes L. University, Ludovika ter 2, Budapest H-1083 (Hungary)
2. School of Mathematical and Computational Sciences, University St. Andrews, St. Andrews, KY16 9SS, Scotland (United Kingdom)

The solar coronal plasma is a well-known example of a plasma with strongly anisotropic dissipative coefficients. The main dissipative processes in the solar corona are strongly anisotropic thermal conductivity and viscosity. Ruderman and Goossens [Astrophys. J. {bold 471}, 1015 (1996)] developed a linear theory of driven slow resonant waves in plasmas with strongly anisotropic viscosity and thermal conductivity. Linear theory shows that in the slow dissipative layer the amplitudes of oscillations become very large for high Reynolds and Pecklet numbers, so that nonlinearity may be important. In the present paper the nonlinear behavior of driven magnetohydrodynamic waves in the slow dissipative layer in plasmas with strongly anisotropic viscosity and thermal conductivity is studied. The nonlinear governing equation for wave variables in the dissipative layer is derived. The nonlinear connection formulae, which are extensions of the linear connection formulae first introduced in the theory of resonant magnetohydrodynamic waves by Sakurai, Goossens, and Hollweg [Solar Phys. {bold 133}, 127 (1991)], are derived. {copyright} {ital 1998 American Institute of Physics.}

• OSTI ID: 565803
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 5; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISSIPATION FACTOR
MAGNETOHYDRODYNAMICS
PLASMA
PLASMA WAVES
SOLAR CORONA