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

Abstract

Here, 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. Finally, 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];  [1];  [2]
  1. Univ. of Iowa, Iowa City, IA (United States)
  2. Univ. of Maryland, College Park, MD (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565008
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 20; Journal Issue: 7; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

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. doi: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. doi:10.1063/1.4812807. https://www.osti.gov/servlets/purl/1565008.
@article{osti_1565008,
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 = {Here, 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. Finally, 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},
journal = {Physics of Plasmas},
number = 7,
volume = 20,
place = {United States},
year = {2013},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 17 works
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Figures / Tables:

FIG. 1 FIG. 1: Schematic diagram of the Fourier modes that play a role in the secular transfer of energy to small scales in an Alfvén wave collision. These key Fourier modes are the primary counterpropagating Alfvén waves (red circles), the secondary inherently nonlinear magnetic field fluctuation (green triangle), and the tertiarymore » counterpropagating Alfvén waves (blue squares). The parallel wavenumber $k$$z$ for each of the modes is indicated by the diagonal grey lines, a consequence of the resonance conditions for the wavevector.« less

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Works referenced in this record:

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