Zonalflow dynamics from a phasespace perspective
The wave kinetic equation (WKE) describing driftwave (DW) turbulence is widely used in the studies of zonal flows (ZFs) emerging from DW turbulence. But, this formulation neglects the exchange of enstrophy between DWs and ZFs and also ignores effects beyond the geometricaloptics limit. Furthermore, we derive a modified theory that takes both of these effects into account, while still treating DW quanta (“driftons”) as particles in phase space. The drifton dynamics is described by an equation of the Wigner–Moyal type, which is commonly known in the phasespace formulation of quantum mechanics. In the geometricaloptics limit, this formulation features additional terms missing in the traditional WKE that ensure exact conservation of the total enstrophy of the system, in addition to the total energy, which is the only conserved invariant in previous theories based on the WKE. We present numerical simulations to illustrate the importance of these additional terms. The proposed formulation can be considered as a phasespace representation of the secondorder cumulant expansion, or CE2.
 Authors:

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 Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Publication Date:
 Report Number(s):
 LLNLJRNL736306
Journal ID: ISSN 1070664X; TRN: US1701137
 Grant/Contract Number:
 32 CFR168a; NA0002948; AC5207NA27344; AC0209CH11466
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 23; Journal Issue: 12; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 70 PLASMA PHYSICS AND FUSION
 OSTI Identifier:
 1347105
 Alternate Identifier(s):
 OSTI ID: 1336500; OSTI ID: 1418955
Ruiz, D. E., Parker, J. B., Shi, E. L., and Dodin, I. Y.. Zonalflow dynamics from a phasespace perspective. United States: N. p.,
Web. doi:10.1063/1.4971813.
Ruiz, D. E., Parker, J. B., Shi, E. L., & Dodin, I. Y.. Zonalflow dynamics from a phasespace perspective. United States. doi:10.1063/1.4971813.
Ruiz, D. E., Parker, J. B., Shi, E. L., and Dodin, I. Y.. 2016.
"Zonalflow dynamics from a phasespace perspective". United States.
doi:10.1063/1.4971813. https://www.osti.gov/servlets/purl/1347105.
@article{osti_1347105,
title = {Zonalflow dynamics from a phasespace perspective},
author = {Ruiz, D. E. and Parker, J. B. and Shi, E. L. and Dodin, I. Y.},
abstractNote = {The wave kinetic equation (WKE) describing driftwave (DW) turbulence is widely used in the studies of zonal flows (ZFs) emerging from DW turbulence. But, this formulation neglects the exchange of enstrophy between DWs and ZFs and also ignores effects beyond the geometricaloptics limit. Furthermore, we derive a modified theory that takes both of these effects into account, while still treating DW quanta (“driftons”) as particles in phase space. The drifton dynamics is described by an equation of the Wigner–Moyal type, which is commonly known in the phasespace formulation of quantum mechanics. In the geometricaloptics limit, this formulation features additional terms missing in the traditional WKE that ensure exact conservation of the total enstrophy of the system, in addition to the total energy, which is the only conserved invariant in previous theories based on the WKE. We present numerical simulations to illustrate the importance of these additional terms. The proposed formulation can be considered as a phasespace representation of the secondorder cumulant expansion, or CE2.},
doi = {10.1063/1.4971813},
journal = {Physics of Plasmas},
number = 12,
volume = 23,
place = {United States},
year = {2016},
month = {12}
}