Impact of Cosmic Ray Distribution on the Growth and Saturation of Bell Instability

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Main Authors: Das, Saikat, Gupta, Siddhartha, Sharma, Prateek
Format: Preprint
Published: 2025
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author Das, Saikat
Gupta, Siddhartha
Sharma, Prateek
author_facet Das, Saikat
Gupta, Siddhartha
Sharma, Prateek
contents Cosmic rays (CRs) streaming in weakly magnetized plasmas can drive large-amplitude magnetic fluctuations via nonresonant streaming instability (NRSI), or Bell instability. Using one-dimensional kinetic simulations, we investigate how mono-energetic and power-law CR momentum distributions influence the growth and saturation of NRSI. The linear growth is governed solely by the CR current and is largely insensitive to the CR distribution. However, the saturation depends strongly on the CR distribution and is achieved through CR isotropization, which quenches the driving current. Mono-energetic CRs effectively amplify the magnetic field and isotropize. For power-law distributions, the lowest-energy CRs dominate current relaxation and magnetic growth, while the highest-energy CRs remain weakly scattered, limiting their contribution to saturation. In the absence of low-energy CRs, high-energy particles amplify magnetic fields effectively and isotropize. We provide a modified saturation prescription accounting for these effects and propose a layered CR-confinement scenario upstream of astrophysical shocks, relevant to particle acceleration to high energies.
format Preprint
id arxiv_https___arxiv_org_abs_2511_21154
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Impact of Cosmic Ray Distribution on the Growth and Saturation of Bell Instability
Das, Saikat
Gupta, Siddhartha
Sharma, Prateek
High Energy Astrophysical Phenomena
Plasma Physics
Cosmic rays (CRs) streaming in weakly magnetized plasmas can drive large-amplitude magnetic fluctuations via nonresonant streaming instability (NRSI), or Bell instability. Using one-dimensional kinetic simulations, we investigate how mono-energetic and power-law CR momentum distributions influence the growth and saturation of NRSI. The linear growth is governed solely by the CR current and is largely insensitive to the CR distribution. However, the saturation depends strongly on the CR distribution and is achieved through CR isotropization, which quenches the driving current. Mono-energetic CRs effectively amplify the magnetic field and isotropize. For power-law distributions, the lowest-energy CRs dominate current relaxation and magnetic growth, while the highest-energy CRs remain weakly scattered, limiting their contribution to saturation. In the absence of low-energy CRs, high-energy particles amplify magnetic fields effectively and isotropize. We provide a modified saturation prescription accounting for these effects and propose a layered CR-confinement scenario upstream of astrophysical shocks, relevant to particle acceleration to high energies.
title Impact of Cosmic Ray Distribution on the Growth and Saturation of Bell Instability
topic High Energy Astrophysical Phenomena
Plasma Physics
url https://arxiv.org/abs/2511.21154