Considering fluctuation energy as a measure of gyrokinetic turbulence. (English) Zbl 1448.82040
Summary: In gyrokinetic theory, there are two quadratic measures of fluctuation energy, left invariant under nonlinear interactions, that constrain turbulence. In a recent work [G. G. Plunk and T. Tatsuno, “Energy transfer and dual cascade in kinetic magnetized plasma turbulence”, Phys. Rev. Lett. 106, No. 16, Article ID 165003, 4 p. (2011; doi:10.1103/PhysRevLett.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 [loc. cit.], 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 [G. G. Plunk et al., J. Fluid Mech. 664, 407–435 (2010; Zbl 1221.76108)] 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.
MSC:
| 82D10 | Statistical mechanics of plasmas |
| 81V60 | Mono-, di- and multipole moments (EM and other), gyromagnetic relations |
| 82B40 | Kinetic theory of gases in equilibrium statistical mechanics |
| 76F02 | Fundamentals of turbulence |
| 76F55 | Statistical turbulence modeling |
Citations:
Zbl 1221.76108Software:
AstroGKReferences:
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