Differential formulation of the gyrokinetic Landau operator

doi:10.1017/s0022377816001203

Title: Differential formulation of the gyrokinetic Landau operator

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Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this work investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Finally, based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.

Authors:

; Brizard, Alain J. ^[2] ;

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Saint Michael's College, Colchester, VT (United States). Dept. of Physics

Publication Date:: 2017-01-05

Report Number(s):: PPPL-5340
Journal ID: ISSN 0022-3778; PII: S0022377816001203

Grant/Contract Number:: AC02-09CH11466; SC0014032

Type:: Accepted Manuscript

Journal Name:: Journal of Plasma Physics

Additional Journal Information:: Journal Volume: 83; Journal Issue: 1; Journal ID: ISSN 0022-3778

Publisher:: Cambridge University Press

Research Org:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Saint Michael's College, Colchester, VT (United States)

Sponsoring Org:: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; fusion plasma; plasma nonlinear phenomena; plasma simulation

OSTI Identifier:: 1351535


                    Hirvijoki, Eero, Brizard, Alain J., and Pfefferlé, David. Differential formulation of the gyrokinetic Landau operator.  United States: N. p.,  
        Web.  doi:10.1017/s0022377816001203.

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                    Hirvijoki, Eero, Brizard, Alain J., & Pfefferlé, David. Differential formulation of the gyrokinetic Landau operator.  United States.  doi:10.1017/s0022377816001203.

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                    Hirvijoki, Eero, Brizard, Alain J., and Pfefferlé, David. 2017.  
        "Differential formulation of the gyrokinetic Landau operator".  United States.  
        doi:10.1017/s0022377816001203.  https://www.osti.gov/servlets/purl/1351535.

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@article{osti_1351535,

  title        = {Differential formulation of the gyrokinetic Landau operator},

  author       = {Hirvijoki, Eero and Brizard, Alain J. and Pfefferlé, David},

  abstractNote = {Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this work investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Finally, based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.},

  doi          = {10.1017/s0022377816001203},

  journal      = {Journal of Plasma Physics},

  number       = 1,

  volume       = 83,

  place        = {United States},

  year         = {2017},

  month        = {1}

}

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Free Publicly Accessible Full Text
Accepted Manuscript (DOE)
Publisher's Version of Record
10.1017/s0022377816001203
https://doi.org/10.1017/s0022377816001203

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