Considering fluctuation energy as a measure of gyrokinetic turbulence
In gyrokinetic theory, there are two quadratic measures of fluctuation energy, left invariant under nonlinear interactions, that constrain turbulence. In a recent work (Plunk and Tatsuno 2011 Phys. Rev. Lett. 106 165003) we reported on the novel consequences that this constraint has for the directio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/10/103030 |
| _version_ | 1797751701704278016 |
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| author | G G Plunk T Tatsuno W Dorland |
| author_facet | G G Plunk T Tatsuno W Dorland |
| author_sort | G G Plunk |
| collection | DOAJ |
| description | In gyrokinetic theory, there are two quadratic measures of fluctuation energy, left invariant under nonlinear interactions, that constrain turbulence. In a recent work (Plunk and Tatsuno 2011 Phys. Rev. Lett. 106 165003) we reported on the novel consequences that this constraint has for the direction and locality of spectral energy transfer. This paper builds on that previous work. We provide a detailed analysis in support of the results of Plunk and Tatsuno (2011 Phys. Rev. Lett. 106 165003), but significantly broaden the scope and use additional methods to address the problem of energy transfer. The perspective taken here is that the fluctuation energies are not merely formal invariants of an idealized model (two-dimensional gyrokinetics (Plunk et al 2010 J. Fluid Mech. 664 407–35)) but also general measures of gyrokinetic turbulence, i.e. quantities that can be used to predict the behavior of turbulence. Although many questions remain open, this paper collects evidence in favor of this perspective by demonstrating in several contexts that constrained spectral energy transfer governs the dynamics. |
| first_indexed | 2024-03-12T16:52:24Z |
| format | Article |
| id | doaj.art-35aeed0e02ea4a0aa2a102bf84eadd23 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:52:24Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-35aeed0e02ea4a0aa2a102bf84eadd232023-08-08T11:06:29ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141010303010.1088/1367-2630/14/10/103030Considering fluctuation energy as a measure of gyrokinetic turbulenceG G Plunk0T Tatsuno1W Dorland2Max-Planck-Institut für Plasmaphysik , EURATOM-Assoziation, Wendelsteinstrasse 1, 17491 Greifswald, Germany; Department of Physics and IREAP, University of Maryland , College Park, MD 20742, USADepartment of Physics and IREAP, University of Maryland , College Park, MD 20742, USA; Department of Communication Engineering and Informatics, The University of Electro-Communications , 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, JapanDepartment of Physics and IREAP, University of Maryland , College Park, MD 20742, USAIn gyrokinetic theory, there are two quadratic measures of fluctuation energy, left invariant under nonlinear interactions, that constrain turbulence. In a recent work (Plunk and Tatsuno 2011 Phys. Rev. Lett. 106 165003) we reported on the novel consequences that this constraint has for the direction and locality of spectral energy transfer. This paper builds on that previous work. We provide a detailed analysis in support of the results of Plunk and Tatsuno (2011 Phys. Rev. Lett. 106 165003), but significantly broaden the scope and use additional methods to address the problem of energy transfer. The perspective taken here is that the fluctuation energies are not merely formal invariants of an idealized model (two-dimensional gyrokinetics (Plunk et al 2010 J. Fluid Mech. 664 407–35)) but also general measures of gyrokinetic turbulence, i.e. quantities that can be used to predict the behavior of turbulence. Although many questions remain open, this paper collects evidence in favor of this perspective by demonstrating in several contexts that constrained spectral energy transfer governs the dynamics.https://doi.org/10.1088/1367-2630/14/10/103030 |
| spellingShingle | G G Plunk T Tatsuno W Dorland Considering fluctuation energy as a measure of gyrokinetic turbulence New Journal of Physics |
| title | Considering fluctuation energy as a measure of gyrokinetic turbulence |
| title_full | Considering fluctuation energy as a measure of gyrokinetic turbulence |
| title_fullStr | Considering fluctuation energy as a measure of gyrokinetic turbulence |
| title_full_unstemmed | Considering fluctuation energy as a measure of gyrokinetic turbulence |
| title_short | Considering fluctuation energy as a measure of gyrokinetic turbulence |
| title_sort | considering fluctuation energy as a measure of gyrokinetic turbulence |
| url | https://doi.org/10.1088/1367-2630/14/10/103030 |
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