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Title: Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution

Abstract

This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfvén waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived in the weak turbulence limit using the equations of incompressible MHD, is compared to a nonlinear gyrokinetic simulation of an Alfvén wave collision. The agreement between these methods signifies that the incompressible solution satisfactorily describes the essential dynamics of the nonlinear energy transfer, even under the weakly collisional plasma conditions relevant to many astrophysical environments.

Authors:
;  [1];  [2]
  1. Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242 (United States)
  2. Department of Physics, University of Maryland, College Park, Maryland 20742-3511 (United States)
Publication Date:
OSTI Identifier:
22227940
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 20; Journal Issue: 7; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ALFVEN WAVES; ANALYTICAL SOLUTION; ASTROPHYSICS; ASYMPTOTIC SOLUTIONS; COLLISIONAL PLASMA; COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; ENERGY TRANSFER; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; NUMERICAL SOLUTION; PLASMA SIMULATION; PLASMA WAVES; TURBULENCE

Citation Formats

Nielson, K. D., Howes, G. G., and Dorland, W. Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution. United States: N. p., 2013. Web. doi:10.1063/1.4812807.
Nielson, K. D., Howes, G. G., & Dorland, W. Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution. United States. https://doi.org/10.1063/1.4812807
Nielson, K. D., Howes, G. G., and Dorland, W. Mon . "Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution". United States. https://doi.org/10.1063/1.4812807.
@article{osti_22227940,
title = {Alfvén wave collisions, the fundamental building block of plasma turbulence. II. Numerical solution},
author = {Nielson, K. D. and Howes, G. G. and Dorland, W.},
abstractNote = {This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfvén waves, the fundamental building block of astrophysical plasma turbulence. The analytical solution, derived in the weak turbulence limit using the equations of incompressible MHD, is compared to a nonlinear gyrokinetic simulation of an Alfvén wave collision. The agreement between these methods signifies that the incompressible solution satisfactorily describes the essential dynamics of the nonlinear energy transfer, even under the weakly collisional plasma conditions relevant to many astrophysical environments.},
doi = {10.1063/1.4812807},
url = {https://www.osti.gov/biblio/22227940}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 20,
place = {United States},
year = {2013},
month = {7}
}

Works referencing / citing this record:

Nonlinear energy transfer and current sheet development in localized Alfvén wavepacket collisions in the strong turbulence limit
journal, January 2018


Spatially localized particle energization by Landau damping in current sheets produced by strong Alfvén wave collisions
journal, January 2018


The Alfvénic nature of energy transfer mediation in localized, strongly nonlinear Alfvén wavepacket collisions
journal, January 2018


Collisionless energy transfer in kinetic turbulence: field–particle correlations in Fourier space
journal, July 2019


On the ion-inertial-range density-power spectra in solar wind turbulence
journal, January 2019