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arXiv 0912.2053astro-ph.HE
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同步辐射损失下电子的冲击加速:I。试验粒子理论

Shock acceleration of electrons in the presence of synchrotron losses: I. test particle theory

Pasquale Blasi

摘要:

本文讨论了在同步辐射能量损失的情况下,电子在非相对论冲击波中的输运方程的半解析解。我们计算了任意扩散系数的激波上游和下游任意点处的加速(测试)粒子谱,并将结果专门用于三种情况:1)动量扩散常数($D(p)=D_{0}$),2)玻姆扩散($D(p)\propto p$)和3)柯尔莫哥洛夫扩散($D(p)\propto p^{1/3}$)。特别重要的是在电子光谱中的截止形状的确定,这取决于在冲击区的粒子感觉到的扩散特性。这种形式可以推广到由加速粒子的动力学反应引起的上游前兆激波的情况。

英文摘要:

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 ($D(p)\propto p$), and 3) Kolmogorov diffusion ($D(p)\propto p^{1/3}$). Of special importance is the determination of the shape of the cutoff 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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