Nonlinear Energy Balance Model of Particle Acceleration by Parallel Shock Waves

Computer Science – Numerical Analysis

Scientific paper

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7514 Energetic Particles (2114), 7845 Particle Acceleration, 7863 Turbulence (4490)

Scientific paper

A new theoretical/numerical model of particles acceleration by quasi-parallel shocks is developed and results of numerical analysis are discussed. The model assumes that resonant wave--particle interaction is the most important physical mechanisms relevant to motion and acceleration of particles as well as to excitation and dumping of waves. The treatment of plasma and waves is self-consistent and time dependent. The model uses conservation laws and resonance conditions to find where waves will be generated or dumped and hence particles will be pitch--angle scattered. Since the total distribution function (for bulk plasma and high energy tail) is included in the model, no any special bootstrap or termination assumptions are required (neither introduction of separate population of seed particles nor some ad-hoc escape rate of accelerated particles are needed). The preliminary results show not only remarkable agreement with diffusive shock acceleration (DSA) models in prediction of power spectra for accelerated particles in upstream region but also reveal presence of spectral break in high energy part of the spectra. The role of the second order Fermi acceleration at the initial stage of acceleration is discussed.

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