Beyond Diffusion: A Causality-Preserving Model for Cosmic Ray Propagation

Fuente: arXiv
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Autori principali: Kawanaka, Norita, Takahashi, Rohta
Natura: Preprint
Pubblicazione: 2024
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author Kawanaka, Norita
Takahashi, Rohta
author_facet Kawanaka, Norita
Takahashi, Rohta
contents We propose a brand-new formalism for the propagation of relativistic cosmic ray (CR) particles. The propagation of CRs has often been described using the diffusion approximation, which has the drawback that the propagation speed of CRs near the source exceeds the speed of light. By applying the analytic solution of the time-dependent distribution function of photons propagating while undergoing scattering, which we recently proposed, we have succeeded in formulating the propagation of relativistic CRs while preserving causality. The obtained formulae give correct expressions both in the diffusion regime and the ballistic regime, as well as the transition between them. They can be applied to the propagation of PeV CRs around their sources (PeVatrons), the propagation of ultra-high energy CRs, and the description of TeV gamma-ray halos around pulsars.
format Preprint
id arxiv_https___arxiv_org_abs_2410_14829
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Beyond Diffusion: A Causality-Preserving Model for Cosmic Ray Propagation
Kawanaka, Norita
Takahashi, Rohta
High Energy Astrophysical Phenomena
We propose a brand-new formalism for the propagation of relativistic cosmic ray (CR) particles. The propagation of CRs has often been described using the diffusion approximation, which has the drawback that the propagation speed of CRs near the source exceeds the speed of light. By applying the analytic solution of the time-dependent distribution function of photons propagating while undergoing scattering, which we recently proposed, we have succeeded in formulating the propagation of relativistic CRs while preserving causality. The obtained formulae give correct expressions both in the diffusion regime and the ballistic regime, as well as the transition between them. They can be applied to the propagation of PeV CRs around their sources (PeVatrons), the propagation of ultra-high energy CRs, and the description of TeV gamma-ray halos around pulsars.
title Beyond Diffusion: A Causality-Preserving Model for Cosmic Ray Propagation
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2410.14829