Energetically consistent collisional gyrokinetics

Burby, J. W.; Brizard, A. J.; Qin, H.

doi:10.1063/1.4935124

Title: Energetically consistent collisional gyrokinetics

Journal Article · Fri Oct 30 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4935124· OSTI ID:1256592

Burby, J. W. ^[1];

^[2]; Qin, H. ^[3]

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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466; SC0006721; AC02- 09CH11466

OSTI ID:: 1256592

Alternate ID(s):: OSTI ID: 1224732

Report Number(s):: PPPL-5182; PHPAEN

Journal Information:: Physics of Plasmas, Vol. 22, Issue 10; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

References (18)

Steady-state tokamak research: Core physics Kikuchi, M.; Azumi, M. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1807	journal	December 2012
Foundations of nonlinear gyrokinetic theory Brizard, A. J.; Hahm, T. S. Reviews of Modern Physics, Vol. 79, Issue 2 https://doi.org/10.1103/RevModPhys.79.421	journal	April 2007
Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory Abel, I. G.; Barnes, M.; Cowley, S. C. Physics of Plasmas, Vol. 15, Issue 12 https://doi.org/10.1063/1.3046067	journal	December 2008
Gyrokinetic Fokker-Planck Collision Operator Li, B.; Ernst, D. R. Physical Review Letters, Vol. 106, Issue 19 https://doi.org/10.1103/PhysRevLett.106.195002	journal	May 2011
Gyrokinetic linearized Landau collision operator Madsen, Jens Physical Review E, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevE.87.011101	journal	January 2013
Energetic consistency and momentum conservation in the gyrokinetic description of tokamak plasmas Scott, B.; Smirnov, J. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3507920	journal	November 2010
A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields Brizard, Alain J. Physics of Plasmas, Vol. 11, Issue 9 https://doi.org/10.1063/1.1780532	journal	September 2004
Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry Parra, Felix I.; Calvo, Iván Plasma Physics and Controlled Fusion, Vol. 53, Issue 4 https://doi.org/10.1088/0741-3335/53/4/045001	journal	February 2011
Gyrokinetic field theory Sugama, H. Physics of Plasmas, Vol. 7, Issue 2 https://doi.org/10.1063/1.873832	journal	February 2000
Hamiltonian formulation of guiding center motion Littlejohn, Robert G. Physics of Fluids, Vol. 24, Issue 9 https://doi.org/10.1063/1.863594	journal	January 1981
A general theory for gauge-free lifting Morrison, P. J. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4774063	journal	January 2013
Nonlinear gyrokinetic equations for tokamak microturbulence Hahm, T. S. Physics of Fluids, Vol. 31, Issue 9 https://doi.org/10.1063/1.866544	journal	September 1988
Automation of the guiding center expansion Burby, J. W.; Squire, J.; Qin, H. Physics of Plasmas, Vol. 20, Issue 7 https://doi.org/10.1063/1.4813247	journal	July 2013
Full-F gyrofluid model Madsen, Jens Physics of Plasmas, Vol. 20, Issue 7 https://doi.org/10.1063/1.4813241	journal	July 2013
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section White, R. B.; Chance, M. S. Physics of Fluids, Vol. 27, Issue 10 https://doi.org/10.1063/1.864527	journal	January 1984
Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation Hirvijoki, E.; Brizard, A.; Snicker, A. Physics of Plasmas, Vol. 20, Issue 9 https://doi.org/10.1063/1.4820951	journal	September 2013
Monte Carlo evaluation of transport coefficients Boozer, Allen H. Physics of Fluids, Vol. 24, Issue 5 https://doi.org/10.1063/1.863445	journal	January 1981
Construction of Monte Carlo operators in collisional transport theory Tessarotto, Massimo; White, Roscoe B.; Zheng, Lin‐Jin Physics of Plasmas, Vol. 1, Issue 4 https://doi.org/10.1063/1.870754	journal	April 1994

Cited By (6)

Differential formulation of the gyrokinetic Landau operator Hirvijoki, Eero; Brizard, Alain J.; Pfefferlé, David Journal of Plasma Physics, Vol. 83, Issue 1 https://doi.org/10.1017/s0022377816001203	journal	January 2017
Nonlinear gyrokinetic Coulomb collision operator Jorge, R.; Frei, B. J.; Ricci, P. Journal of Plasma Physics, Vol. 85, Issue 6 https://doi.org/10.1017/s0022377819000734	journal	November 2019
Conservation laws for collisional and turbulent transport processes in toroidal plasmas with large mean flows Sugama, H.; Nunami, M.; Nakata, M. Physics of Plasmas, Vol. 24, Issue 2 https://doi.org/10.1063/1.4975075	journal	February 2017
Transport theory of phase space zonal structures Falessi, Matteo Valerio; Zonca, Fulvio Physics of Plasmas, Vol. 26, Issue 2 https://doi.org/10.1063/1.5063874	journal	February 2019
Improved linearized model collision operator for the highly collisional regime Sugama, H.; Matsuoka, S.; Satake, S. Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5115440	journal	October 2019
Differential formulation of the gyrokinetic Landau operator Hirvijoki, Eero; Brizard, Alain J.; Pfefferlé, David arXiv https://doi.org/10.48550/arxiv.1707.05901	text	January 2017

Similar Records

Energetically consistent collisional gyrokinetics

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Physics of Plasmas · OSTI ID:1256592

Burby, J. W.; Brizard, A. J.; Qin, H.

Effects of collisions on conservation laws in gyrokinetic field theory

Journal Article · Sat Aug 15 00:00:00 EDT 2015 · Physics of Plasmas · OSTI ID:1256592

Sugama, H.; Nunami, M.; Watanabe, T. -H.

Fluid models of phase mixing, Landau damping, and nonlinear gyrokinetic dynamics

Journal Article · Wed Jul 01 00:00:00 EDT 1992 · Physics of Fluids B; (United States) · OSTI ID:1256592

Hammett, G W; Dorland, W; Perkins, F W

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
guiding-center motion
plasma gyrokinetics
conservation laws
collision theories
Poisson's equation
kinetic theory

Title: Energetically consistent collisional gyrokinetics

Citation Formats

References (18)

Cited By (6)

Similar Records

Related Subjects