A model for cyclotron interaction effects on large scales

Physics

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Magnetohydrodynamics And Plasmas, Fokker-Planck And Vlasov Equation, Magnetohydrodynamic And Fluid Equation, Transport Properties

Scientific paper

Starting from the contractions of exact moments of the Vlasov equation, we present a formalism for constructing a system of equations that describes aspects of cyclotron interactions using kinetic information. This non-perturbative approach does not require a priori assumptions about zero-order particle velocity distributions. The nonlinear coupling between field-aligned particle thermal velocities and transverse cyclotron wave and thermal motions is described by off-diagonal elements of the pressure tensor, and involves the growth rates of cyclotron waves. We derive the functional form of an effective wave-particle momentum transport coefficient whose magnitude and sign depend on the dynamically evolving temperature anisotropy. Finally, we present a coupled set of cyclotron equations of state for the evolution of the parallel and perpendicular pressures which provide a connection between kinetic and fluid phenomena.

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