Shock acceleration of electrons in the presence of synchrotron losses - I. Test-particle theory

被引:49
|
作者
Blasi, Pasquale [1 ]
机构
[1] Osserv Astrofis Arcetri, INAF, I-50125 Florence, Italy
基金
美国国家科学基金会;
关键词
acceleration of particles; shock waves; SUPERNOVA REMNANT G347.3-0.5; ENERGETIC ELECTRONS; COSMIC-RAYS; SPECTRA; EMISSION; CHANDRA;
D O I
10.1111/j.1365-2966.2009.16110.x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss a semi-analytical solution of the transport equation for electrons at a non-relativistic shock in the presence of synchrotron energy losses. We calculate the spectrum of accelerated (test) particles at any point upstream and downstream of the shock for an arbitrary diffusion coefficient, and we specialize the results to three cases: (1) diffusion constant in momentum [D(p) = D(0)], (2) Bohm diffusion [D(p) proportional to p] and (3) Kolmogorov diffusion [D(p) proportional to p(1/3)]. Of special importance is the determination of the shape of the cut-off in the electron spectrum which depends on the diffusion properties felt by particles in the shock region. The formalism can be generalized to the case of a shock with an upstream precursor induced by the dynamical reaction of accelerated particles.
引用
收藏
页码:2807 / 2816
页数:10
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