Collisionless dissipation wavenumber: Linear theory

Physics – Plasma Physics

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Interplanetary Physics: Plasma Waves And Turbulence, Space Plasma Physics: Waves And Instabilities

Scientific paper

The collisionless dissipation wavenumber kd of a plasma fluctuation may be defined as the minimum value of wavenumber at which damping becomes significant. Linear Vlasov theory is used to determine kd for both magnetosonic and Alfvén fluctuations in a spatially homogeneous, collisionless plasma with Maxwellian velocity distributions. Alfvén mode properties at maximum dissipation are independent of Te/Tp, and the corresponding magnetosonic mode properties are weakly dependent on this temperature ratio, so theory predicts that the proton beta βp is the primary parameter determining kd. Theory yields kdc/ωp=Sk/βpαk, where ωp is the proton plasma frequency and Sk and αk are fitting parameters; for the Alfvén mode αk~=0.3, whereas for the magnetosonic mode αk~=0.8. This implies that Alfvén fluctuations are the more likely source of collisionless dissipation for long wavelength magnetic turbulence cascading to shorter wavelengths at βp<~1, and magnetosonic fluctuations are more likely to dissipate such turbulence at βp>~1.

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