Proton temperature anisotropy upper bound

Physics – Plasma Physics

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Magnetospheric Physics: Magnetosheath, Magnetospheric Physics: Numerical Modeling, Magnetospheric Physics: Plasma Waves And Instabilities, Space Plasma Physics: Kinetic And Mhd Theory

Scientific paper

The electromagnetic proton cyclotron instability and the mirror instability are driven by the proton temperature anisotropy T⊥p/T∥p>1, where ⊥ and ∥ denote directions relative to the background magnetic field. Linear theory and one-dimensional hybrid simulations imply that the former mode grows more rapidly over 0.05<=β∥p<=5 and that wave-particle scattering by its enhanced fluctuations imposes an upper bound on the temperature anisotropy of the form T⊥p/T∥p-1=Sp/β∥pαp where β∥p≡8πnpT∥p/Bo2 and Bo is the background magnetic field. Here Sp and αp are fitting parameters, and 0.4<~αp<~0.5. This paper describes results from more general two-dimensional hybrid simulations, which permit both instabilities to grow simultaneously. These simulations confirm the one-dimensional results on the initial domain 0.05<=β∥p<~5 enhanced fluctuations display the properties of the proton cyclotron instability and αp~=0.4. On this domain the two-dimensional simulations also yield an upper bound for the fluctuating field energy density of the form |δB|2/Bo2≡∑k|δBk|2/Bo2=SBβ∥pαB with fitting parameter 0.5<~αB<~1. The simulations on the initial domain 10<=β∥p<=100 show spectral characteristics of both instabilities and exhibit a more stringent bound on the proton anisotropy, in agreement with observations in the terrestrial magnetosheath.

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