Abstract
Inertial and kinetic-Alfvén wave turbulences have a priori little in common: indeed, the first one concerns rotating hydrodynamics in the limit of a small Rossby number (with the rotating rate) while the second describes high frequency plasmas in the limit of a strong uniform magnetic field . In this paper we show analytically that, in the limit of local interactions in the perpendicular direction to , the inertial wave turbulence equation converges towards the same nonlinear diffusion equation as for kinetic-Alfvén waves when the same limit is taken; the only difference resides in the constants in front of the equations. Therefore, both systems share the same physical properties for the stationary phase with an energy spectrum in ; it is preceded by a self-similar solution of the second kind during the nonstationary phase with a spectrum proportional to which propagates explosively towards small scales. It is suggested that the proximity between these two problems may be used to better understand inertial or kinetic-Alfvén wave turbulence.
- Received 20 December 2019
- Accepted 30 March 2020
DOI:https://doi.org/10.1103/PhysRevFluids.5.044603
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