On the Theory of Large Amplitude Alfvén Waves with Collisionless Dissipation and Noise
نویسنده
چکیده
The noisy kinetic derivative nonlinear Schrödinger equation (KNLS) is investigated as a model of stationary collisionless Alfvénic shocklet turbulence and compressible MHD turbulence in a magnetized system, in general. Dissipation arises from Landau damping, enters via nonlinearity, and is distributed over all scales. The theory predicts that two different regimes or phases of turbulence are possible, depending on the ratio of steepening to damping coefficient (m1/m2). For weak damping (|m1/m2| > 1), a stationary state of KNLS turbulence does not exist in the hydrodynamic limit. Rather, spikey, small scale structure is predicted. For |m1/m2| < 1, a regime of smooth, hydrodynamic turbulence is predicted. PACS: 52.35.Mw, 52.35.Fm, 52.35.Sb Typeset using REVTEX
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