Fluid models for kinetic effects on coherent nonlinear Alfv{acute e}n waves. I. Fundamental theory

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871790· OSTI ID:278984

Medvedev, M V; Diamond, P H ^[1]

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

Collisionless regime kinetic models for coherent nonlinear Alfv{acute e}n wave dynamics are studied using fluid moment equations with an approximate closure anzatz. Resonant particle effects are modeled by incorporating an additional term representing dissipation akin to parallel heat conduction. Unlike collisional dissipation, parallel heat conduction is presented by an integral operator. The modified derivative nonlinear Schr{umlt o}dinger equation thus has a spatially nonlocal nonlinear term describing the long-time evolution of the envelope of parallel-propagating Alfv{acute e}n waves, as well. Coefficients in the nonlinear terms are free of the (1{minus}{beta}){sup {minus}1} singularity usually encountered in previous analyses, and have a very simple form that clarifies the physical processes governing the large-amplitude Alfv{acute e}nic nonlinear dynamics. The nonlinearity appears via coupling of an Alfv{acute e}nic mode to a kinetic ion-acoustic mode. Damping of the nonlinear Alfv{acute e}n wave appears via strong Landau damping of the ion-acoustic wave when the electron-to-ion temperature ratio is close to unity. For a (slightly) obliquely propagating wave, there are finite Larmor radius corrections in the dynamical equation. This effect depends on the angle of wave propagation relative to {ital B}{sub 0} and vanishes for the limit of strictly parallel propagation. Explicit magnetic perturbation envelope equations amenable to further analysis and numerical solution are obtained. Implications of these models for collisionless shock dynamics are discussed. {copyright} {ital 1996 American Institute of Physics.}

• Research Organization: University of California
• DOE Contract Number: FG03-88ER53275
• OSTI ID: 278984
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 3; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
COLLISIONLESS PLASMA
ION ACOUSTIC WAVES
KINETIC EQUATIONS
LANDAU DAMPING
PLASMA FLUID EQUATIONS
SCHROEDINGER EQUATION
SOLAR WIND
THERMAL CONDUCTION