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Sérgio Sacani

Technology

[object Object],[object Object],[object Object],[object Object],Abstract. The focused transport equation (FTE) includes all the necessary physics for modeling the shock acceleration of energetic particles with a unified description of first-order Fermi acceleration, shock drift acceleration, and shock surfing acceleration. In recent years, the FTE–based theory has been proved to be an efficient tool for reproducing the observational features of the lower energy Termination Shock Particles (TSPs) by Voyagers (e. g. le Roux et al. 2007; Florinski 2009). In this study we investigate the energy spectrum of pickup ions accelerated at shocks of various obliquities with FTE by using a stochastic approach model. Here we focus on how the focused transport acceleration using FTE is transformed to diffusive shock acceleration. The power-law spectrum and injection efficiency for various shock obliquities are discussed. 1. Focused transport equation 2. Forward stochastic differential equations (SDEs) Model Description Simulation Results 1. Parallel Shock 2. Oblique Shock 3. Quasi-perpendicular Shock Conclusions Reference ,[object Object],[object Object],[object Object],[object Object],Fig1. (A) Accelerated energy spectrum of energetic particles (B) Particle momentum and pitch angle change when the particles are injected and interact with the shock transition for the first time. 3. Model detail ,[object Object],Florinski, V. 2009, Space Sci. Rev., 143, 111 Florinski, V., Decker, R. B., & le Roux, J. A. 2008a, J. Geophys. Res., 113, A07103 Florinski, V., Zank, G. P., & le Roux, J. A. 2008b, Adv. Space Res., 41, 361 le Roux, J. A., & Webb, G. M. 2009, ApJ, 693, 534 le Roux, J. A., Webb, G. M., Florinski, V., & Zank, G. P. 2007, ApJ, 662, 350 Zhang, M., Qin, G., & Rassoul, H. 2009, ApJ, 692, 109 Fig3. Same format as Fig. 1 ,[object Object],[object Object],[object Object],Fig2. (A) and (B): Same format as Fig. 1. (C) Distribution function with high resolution in the energy range where the accelerated energy spectrum is a double power-law spectrum . (D) Accelerated energy spectrum for three cases where the seed pickup ions are injected with pitch angles equal to 0.5, 0, -0.5 respectively. (D)

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