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Weak turbulence in two-dimensional magnetohydrodynamics
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Tronko, N., Nazarenko, Sergey and Galtier, S. (2013) Weak turbulence in two-dimensional magnetohydrodynamics. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Volume 87 (Number 3). Article number 033103. doi:10.1103/PhysRevE.87.033103
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Official URL: http://dx.doi.org/10.1103/PhysRevE.87.033103
Abstract
A weak wave turbulence theory is developed for two-dimensional (2D) magnetohydrodynamics. We derive and analyze the kinetic equation describing the three-wave interactions of pseudo-Alfvén waves. Our analysis is greatly helped by the fortunate fact that in 2D the wave kinetic equation is integrable. In contrast with the three-dimensional case, in 2D the wave interactions are nonlocal. Another distinct feature is that strong derivatives of spectra tend to appear in the region of small parallel (i.e., along the uniform magnetic field direction) wave numbers leading to a breakdown of the weak-turbulence description in this region. We develop a qualitative theory beyond weak turbulence describing subsequent evolution and formation of a steady state.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | 2013 | ||||
| Dates: |
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| Volume: | Volume 87 | ||||
| Number: | Number 3 | ||||
| Page Range: | Article number 033103 | ||||
| DOI: | 10.1103/PhysRevE.87.033103 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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