Pitch-angle diffusion and bohm-type approximations in diffusive shock acceleration

John Daniel Riordan, Asaf Pe'Er

Research output: Contribution to journalConference articlepeer-review

Abstract

The problem of accelerating cosmic rays is one of fundamental importance, particularly given the uncertainty in the conditions inside the acceleration sites. Here we examine Diffusive Shock Acceleration in arbitrary turbulent magnetic fields, constructing a new model that is capable of bridging the gap between the very weak (δB/B0 ≪ 1) and the strong turbulence regimes. To describe the diffusion we provide quantitative analytical description of the "Bohm exponent" in each regime. We show that our results converge to the well known quasi-linear theory in the weak turbulence regime. In the strong regime, we quantify the limitations of the Bohm-type models. Furthermore, our results account for the anomalous diffusive behaviour which has been noted previously.

Original languageEnglish
Article number058
JournalProceedings of Science
Volume354
StatePublished - 2019
Event7th High Energy Phenomena in Relativistic Outflows, HEPRO 2019 - Barcelona, Spain
Duration: 9 Jul 201912 Jul 2019

Bibliographical note

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© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

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