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Title: 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:
 [1]; ORCiD logo [2];  [3]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Saint Michael's College, Colchester, VT (United States)
  3. 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}
}

Journal Article:
Free Publicly Available Full Text
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Citation Metrics:
Cited by: 17 works
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Works referenced in this record:

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Works referencing / citing this record:

Differential formulation of the gyrokinetic Landau operator
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Nonlinear gyrokinetic Coulomb collision operator
journal, November 2019


Conservation laws for collisional and turbulent transport processes in toroidal plasmas with large mean flows
journal, February 2017


Transport theory of phase space zonal structures
journal, February 2019


Improved linearized model collision operator for the highly collisional regime
journal, October 2019


Differential formulation of the gyrokinetic Landau operator
text, January 2017


Differential formulation of the gyrokinetic Landau operator
journal, January 2017