Energetically consistent collisional gyrokinetics
Abstract
Here, we present a formulation of collisional gyrokinetic theory with exact conservation laws for energy and canonical toroidal momentum. Collisions are accounted for by a nonlinear gyrokinetic Landau operator. Gyroaveraging and linearization do not destroy the operator's conservation properties. Just as in ordinary kinetic theory, the conservation laws for collisional gyrokinetic theory are selected by the limiting collisionless gyrokinetic theory. (C) 2015 AIP Publishing LLC.
- Authors:
-
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Saint Michael's College, Colchester, VT (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Anhui (China)
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1256592
- Alternate Identifier(s):
- OSTI ID: 1224732
- Report Number(s):
- PPPL-5182
Journal ID: ISSN 1070-664X; PHPAEN
- Grant/Contract Number:
- AC02-09CH11466; SC0006721; AC02- 09CH11466
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 10; 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; guiding-center motion; plasma gyrokinetics; conservation laws; collision theories; Poisson's equation; kinetic theory
Citation Formats
Burby, J. W., Brizard, A. J., and Qin, H. Energetically consistent collisional gyrokinetics. United States: N. p., 2015.
Web. doi:10.1063/1.4935124.
Burby, J. W., Brizard, A. J., & Qin, H. Energetically consistent collisional gyrokinetics. United States. https://doi.org/10.1063/1.4935124
Burby, J. W., Brizard, A. J., and Qin, H. 2015.
"Energetically consistent collisional gyrokinetics". United States. https://doi.org/10.1063/1.4935124. https://www.osti.gov/servlets/purl/1256592.
@article{osti_1256592,
title = {Energetically consistent collisional gyrokinetics},
author = {Burby, J. W. and Brizard, A. J. and Qin, H.},
abstractNote = {Here, we present a formulation of collisional gyrokinetic theory with exact conservation laws for energy and canonical toroidal momentum. Collisions are accounted for by a nonlinear gyrokinetic Landau operator. Gyroaveraging and linearization do not destroy the operator's conservation properties. Just as in ordinary kinetic theory, the conservation laws for collisional gyrokinetic theory are selected by the limiting collisionless gyrokinetic theory. (C) 2015 AIP Publishing LLC.},
doi = {10.1063/1.4935124},
url = {https://www.osti.gov/biblio/1256592},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 10,
volume = 22,
place = {United States},
year = {Fri Oct 30 00:00:00 EDT 2015},
month = {Fri Oct 30 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 17 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Steady-state tokamak research: Core physics
journal, December 2012
- Kikuchi, M.; Azumi, M.
- Reviews of Modern Physics, Vol. 84, Issue 4
Foundations of nonlinear gyrokinetic theory
journal, April 2007
- Brizard, A. J.; Hahm, T. S.
- Reviews of Modern Physics, Vol. 79, Issue 2
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
Gyrokinetic Fokker-Planck Collision Operator
journal, May 2011
- Li, B.; Ernst, D. R.
- Physical Review Letters, Vol. 106, Issue 19
Gyrokinetic linearized Landau collision operator
journal, January 2013
- Madsen, Jens
- Physical Review E, Vol. 87, Issue 1
Energetic consistency and momentum conservation in the gyrokinetic description of tokamak plasmas
journal, November 2010
- Scott, B.; Smirnov, J.
- Physics of Plasmas, Vol. 17, Issue 11
A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields
journal, September 2004
- Brizard, Alain J.
- Physics of Plasmas, Vol. 11, Issue 9
Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry
journal, February 2011
- Parra, Felix I.; Calvo, Iván
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 4
Hamiltonian formulation of guiding center motion
journal, January 1981
- Littlejohn, Robert G.
- Physics of Fluids, Vol. 24, Issue 9
A general theory for gauge-free lifting
journal, January 2013
- Morrison, P. J.
- Physics of Plasmas, Vol. 20, Issue 1
Nonlinear gyrokinetic equations for tokamak microturbulence
journal, September 1988
- Hahm, T. S.
- Physics of Fluids, Vol. 31, Issue 9
Automation of the guiding center expansion
journal, July 2013
- Burby, J. W.; Squire, J.; Qin, H.
- Physics of Plasmas, Vol. 20, Issue 7
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section
journal, January 1984
- White, R. B.; Chance, M. S.
- Physics of Fluids, Vol. 27, Issue 10
Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation
journal, September 2013
- Hirvijoki, E.; Brizard, A.; Snicker, A.
- Physics of Plasmas, Vol. 20, Issue 9
Monte Carlo evaluation of transport coefficients
journal, January 1981
- Boozer, Allen H.
- Physics of Fluids, Vol. 24, Issue 5
Construction of Monte Carlo operators in collisional transport theory
journal, April 1994
- Tessarotto, Massimo; White, Roscoe B.; Zheng, Lin‐Jin
- Physics of Plasmas, Vol. 1, Issue 4
Works referencing / citing this record:
Differential formulation of the gyrokinetic Landau operator
journal, January 2017
- Hirvijoki, Eero; Brizard, Alain J.; Pfefferlé, David
- Journal of Plasma Physics, Vol. 83, Issue 1
Nonlinear gyrokinetic Coulomb collision operator
journal, November 2019
- Jorge, R.; Frei, B. J.; Ricci, P.
- Journal of Plasma Physics, Vol. 85, Issue 6
Conservation laws for collisional and turbulent transport processes in toroidal plasmas with large mean flows
journal, February 2017
- Sugama, H.; Nunami, M.; Nakata, M.
- Physics of Plasmas, Vol. 24, Issue 2
Transport theory of phase space zonal structures
journal, February 2019
- Falessi, Matteo Valerio; Zonca, Fulvio
- Physics of Plasmas, Vol. 26, Issue 2
Improved linearized model collision operator for the highly collisional regime
journal, October 2019
- Sugama, H.; Matsuoka, S.; Satake, S.
- Physics of Plasmas, Vol. 26, Issue 10
Differential formulation of the gyrokinetic Landau operator
text, January 2017
- Hirvijoki, Eero; Brizard, Alain J.; Pfefferlé, David
- arXiv
Differential formulation of the gyrokinetic Landau operator
journal, January 2017
- Hirvijoki, Eero; Brizard, Alain J.; Pfefferlé, David
- Journal of Plasma Physics, Vol. 83, Issue 1