Stochastic Electron Acceleration by Temperature Anisotropy Instabilities Under Solar Flare Plasma Conditions


Abstract in English

We use 2D particle-in-cell (PIC) plasma simulations to study electron acceleration by electron temperature anisotropy instabilities, assuming magnetic fields ($B$), electron densities ($n_e$) and temperatures ($T_e$) typical of the top of contracting magnetic loops in solar flares. We focus on the long-term effect of $T_{e,perp} > T_{e,parallel}$ instabilities by driving the anisotropy growth during the whole simulation time ($T_{e,perp}$ and $T_{e,parallel}$ are the temperatures perpendicular and parallel to the field). This is achieved by imposing a shear velocity, which amplifies the field due to magnetic flux freezing, making $T_{e,perp} > T_{e,parallel}$ due to electron magnetic moment conservation. We use the initial conditions: $T_e sim 52$ MK, and $B$ and $n_e$ such that the ratio between the electron cyclotron and plasma frequencies $omega_{ce}/omega_{pe}=0.53$. When the anisotropy becomes large enough, oblique, quasi-electrostatic (OQES) modes grow, efficiently scattering the electrons and limiting their anisotropy. After that, when $B$ has grown by a factor $sim 2-3$ (corresponding to $omega_{ce}/omega_{pe}sim 1.2-1.5$), the unstable modes become dominated by parallel, electromagnetic z (PEMZ) modes. In contrast to the OQES dominated regime, the scattering by PEMZ modes is highly inelastic, producing significant electron acceleration. When the field has grown by a final factor $sim 4$, the electron energy spectrum shows a nonthermal tail that resembles a power-law of index $sim$ 2.9, plus a high-energy bump reaching $sim 300$ keV. Our results suggest a critical role played by $omega_{ce}/omega_{pe}$ and $T_e$ in determining the efficiency of electron acceleration by temperature anisotropy instabilities in solar flares.

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