Analytic Solution for Nonlinear Shock Acceleration in the Bohm Limit

Analytic solution for nonlinear shock acceleration in the Bohm limit

The selfconsistent steady state solution for a strong shock, significantly modified by accelerated particles is obtained on the level of a kinetic description, assuming Bohm-type diffusion. The original problem that is commonly formulated in terms of the diffusion-convection equation for the distribution function of energetic particles, coupled with the thermal plasma through the momentum flux ...

Nonlinear Shock Acceleration beyond the Bohm Limit

We suggest a physical mechanism whereby the acceleration time of cosmic rays (CRs) by shock waves can be significantly reduced. This creates the possibility of particle acceleration beyond the knee energy at!10 eV. The acceleration results from a nonlinear modification of the flow ahead of the shock supported by particles already accelerated to the kneemomentum at p ! p". The particles gain ene...

Bifurcation, efficiency, and the role of injection in shock acceleration with the Bohm diffusion

The efficiency and uniqueness of the diffusive shock acceleration is studied on the basis of the novel kinetic solutions. These solutions obtained earlier (paper I) selfconsistently describe a strong coupling of cosmic rays with the gas flow. They show that the dependence of the acceleration efficiency upon physical parameters is critical in nature. In this paper we investigate a steady acceler...

Thermal Particle Injection in Nonlinear Diffusive Shock Acceleration

Donald C. Ellison, Pasquale Blasi, Stefano Gabici (a) Physics Dept., North Carolina State Univ., Raleigh, NC 27695, U.S.A. (b) High Energy Astrophysics Group, INAF, Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, I-50125, Firenze, Italy (c) Humboldt Fellow, Max-Planck-Institut fuer Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany Presenter: Don Ellison (don [email protected]), usa...

Modeling Magnetic Field Amplification in Nonlinear Diffusive Shock Acceleration