Evolution of nonlinear Alfvén waves propagating along the magnetic field in a collisionless plasma

Khanna, Manju; Rajaram, R. Κ.

doi:10.1017/s0022377800000416

Cited by 34 publications

(32 citation statements)

References 12 publications

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“…This equation can also be derived from regular reductive perturbation methods with a proper ordering scheme. For instance, a DNLS equation with the CGL condition and more corrections, including finite ion Larmor radius effects and electron pressure, was derived using regular reductive perturbation methods [33].…”

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confidence: 99%

The effects of strong temperature anisotropy on the kinetic structure of collisionless slow shocks and reconnection exhausts. II. Theory

2011

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Simulations of collisionless oblique propagating slow shocks have revealed the existence of a transition associated with a critical temperature anisotropy ε = 1 − µ0(P − P ⊥ )/B 2 = 0.25 (Liu, Drake and Swisdak (2011)[1]). An explanation for this phenomenon is proposed here based on anisotropic fluid theory, in particular the Anisotropic Derivative Nonlinear-Schrödinger-Burgers equation, with an intuitive model of the energy closure for the downstream counter-streaming ions. The anisotropy value of 0.25 is significant because it is closely related to the degeneracy point of the slow and intermediate modes, and corresponds to the lower bound of the coplanar to non-coplanar transition that occurs inside a compound slow shock (SS)/rotational discontinuity (RD) wave. This work implies that it is a pair of compound SS/RD waves that bound the outflows in magnetic reconnection, instead of a pair of switch-off slow shocks as in Petschek's model. This fact might explain the rareness of in-situ observations of Petschek-reconnection-associated switch-off slow shocks.

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The effects of strong temperature anisotropy on the kinetic structure of collisionless slow shocks and reconnection exhausts. II. Theory

2011

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“…(40)- (44). This approximation obtained in a local frame where the z-axis points along the local magnetic field is often oversimplified by using the same formula in a fixed frame with the z-axis along the ambient field (Khanna and Rajaram, 1982;Chakraborty and Das, 2000). These two references also involve a sign error in the definition of the components xy .…”

Section: B: Second Order Flr Corrections To the Pressure Tensormentioning

confidence: 99%

A fluid description for Landau damping of dispersive MHD waves

Passot

Sulem

2004

Nonlin. Processes Geophys.

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Abstract. The dynamics of long oblique MHD waves in a collisionless plasma permeated by a uniform magnetic field is addressed using a Landau-fluid model that includes Hall effect and electron-pressure gradient in a generalized Ohm's law and retains ion finite Larmor radius (FLR) corrections to the gyrotropic pressure (Phys. Plasmas 10, 3906, 2003). This one-fluid model, built to reproduce the weakly nonlinear dynamics of long dispersive Alfvén waves propagating along an ambient field, is shown to correctly capture the Landau damping of oblique magnetosonic waves predicted by a kinetic theory based on the Vlasov-Maxwell system. For oblique and kinetic Alfvén waves (for which second order FLR corrections are to be retained), the linear character of waves with small but finite amplitudes is established, and the dispersion relation reproduced in the regime of adiabatic protons and isothermal electrons, associated with the condition m e /m p β T e /T p , where β is the squared ratio of the ion-acoustic to the Alfvén speeds. It is shown that in more general regimes, the heat fluxes are, to leading order, not gyrotropic and dependent on the Hall effect to leading order.

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“…It is used to describe the nonlinear propagation of magnetosonic wave trains parallel to the magnetic field in a hot or collisionless ideal plasma Ž w x. with dispersion due to Hall currents see 8,22 . The DNLS equation has some peculiarities; for instance, it is not Galilean invariant, and it has classical solitons which have an upper bound on the particle number and Ž .…”

Section: Schrodinger Equation Gnls Equationmentioning

confidence: 99%