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:

 Univ. of Iowa, Iowa City, IA (United States)
 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 1070664X
 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}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Alfvén wave collisions, the fundamental building block of plasma turbulence. I. Asymptotic solution
journal, July 2013
 Howes, G. G.; Nielson, K. D.
 Physics of Plasmas, Vol. 20, Issue 7
Nonlinear gyrokinetic equations for lowfrequency electromagnetic waves in general plasma equilibria
journal, January 1982
 Frieman, E. A.
 Physics of Fluids, Vol. 25, Issue 3
Astrophysical Gyrokinetics: Basic Equations and Linear Theory
journal, November 2006
 Howes, Gregory G.; Cowley, Steven C.; Dorland, William
 The Astrophysical Journal, Vol. 651, Issue 1
Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas
journal, May 2009
 Schekochihin, A. A.; Cowley, S. C.; Dorland, W.
 The Astrophysical Journal Supplement Series, Vol. 182, Issue 1
A model of turbulence in magnetized plasmas: Implications for the dissipation range in the solar wind: DISSIPATION OF THE SOLAR WIND
journal, May 2008
 Howes, G. G.; Cowley, S. C.; Dorland, W.
 Journal of Geophysical Research: Space Physics, Vol. 113, Issue A5
Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas
journal, February 2008
 Howes, G. G.; Dorland, W.; Cowley, S. C.
 Physical Review Letters, Vol. 100, Issue 6
Gyrokinetic Simulations of Solar Wind Turbulence from Ion to Electron Scales
journal, July 2011
 Howes, G. G.; TenBarge, J. M.; Dorland, W.
 Physical Review Letters, Vol. 107, Issue 3
A weakened cascade model for turbulence in astrophysical plasmas
journal, October 2011
 Howes, G. G.; TenBarge, J. M.; Dorland, W.
 Physics of Plasmas, Vol. 18, Issue 10
AstroGK: Astrophysical gyrokinetics code
journal, December 2010
 Numata, Ryusuke; Howes, Gregory G.; Tatsuno, Tomoya
 Journal of Computational Physics, Vol. 229, Issue 24
Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
journal, December 2008
 Abel, I. G.; Barnes, M.; Cowley, S. C.
 Physics of Plasmas, Vol. 15, Issue 12
Linearized model Fokker–Planck collision operators for gyrokinetic simulations. II. Numerical implementation and tests
journal, July 2009
 Barnes, M.; Abel, I. G.; Dorland, W.
 Physics of Plasmas, Vol. 16, Issue 7
The Hydromagnetic Equations
journal, July 1950
 Elsasser, Walter M.
 Physical Review, Vol. 79, Issue 1
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence
journal, January 1995
 Goldreich, P.; Sridhar, S.
 The Astrophysical Journal, Vol. 438
Current Sheets and Collisionless Damping in Kinetic Plasma Turbulence
journal, June 2013
 TenBarge, J. M.; Howes, G. G.
 The Astrophysical Journal, Vol. 771, Issue 2
Nonlinear Phase Mixing and PhaseSpace Cascade of Entropy in Gyrokinetic Plasma Turbulence
journal, June 2009
 Tatsuno, T.; Dorland, W.; Schekochihin, A. A.
 Physical Review Letters, Vol. 103, Issue 1
Toward Astrophysical Turbulence in the Laboratory
journal, December 2012
 Howes, G. G.; Drake, D. J.; Nielson, K. D.
 Physical Review Letters, Vol. 109, Issue 25
Using Synthetic Spacecraft data to Interpret Compressible Fluctuations in Solar wind Turbulence
journal, August 2012
 Klein, K. G.; Howes, G. G.; TenBarge, J. M.
 The Astrophysical Journal, Vol. 755, Issue 2
Resolving velocity space dynamics in continuum gyrokinetics
journal, March 2010
 Barnes, M.; Dorland, W.; Tatsuno, T.
 Physics of Plasmas, Vol. 17, Issue 3
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