Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence

Collisionless tearing instability with a power-law distribution function in a relativistic pair plasma with a guide field is studied. When the current sheet is supported by plasma pressure, the tearing mode is suppressed as the particle spectrum hardens. In the force-free limit, the instability grow...

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Main Authors: Ivan Demidov, Yuri Lyubarsky
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad9d3a
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author Ivan Demidov
Yuri Lyubarsky
author_facet Ivan Demidov
Yuri Lyubarsky
author_sort Ivan Demidov
collection DOAJ
description Collisionless tearing instability with a power-law distribution function in a relativistic pair plasma with a guide field is studied. When the current sheet is supported by plasma pressure, the tearing mode is suppressed as the particle spectrum hardens. In the force-free limit, the instability growth rate becomes independent of the particle spectrum. We apply these results to relativistic MHD turbulence, where magnetic energy greatly exceeds plasma rest energy, and derive an expression for the transverse size of turbulent eddies unstable to tearing mode. We also establish the critical plasma magnetization parameter above which charge starvation prevents the tearing instability. These results might be useful for developing more accurate models of particle acceleration in relativistic astrophysical sources.
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institution Kabale University
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spelling doaj-art-f431756e46974384a2f772b5c87fe59b2025-01-21T06:52:41ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01979210410.3847/1538-4357/ad9d3aCollisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD TurbulenceIvan Demidov0https://orcid.org/0000-0002-9217-6964Yuri Lyubarsky1https://orcid.org/0000-0002-2316-8899Physics Department, Ben-Gurion University , PO Box 653, Beer-Sheva 84105, IsraelPhysics Department, Ben-Gurion University , PO Box 653, Beer-Sheva 84105, IsraelCollisionless tearing instability with a power-law distribution function in a relativistic pair plasma with a guide field is studied. When the current sheet is supported by plasma pressure, the tearing mode is suppressed as the particle spectrum hardens. In the force-free limit, the instability growth rate becomes independent of the particle spectrum. We apply these results to relativistic MHD turbulence, where magnetic energy greatly exceeds plasma rest energy, and derive an expression for the transverse size of turbulent eddies unstable to tearing mode. We also establish the critical plasma magnetization parameter above which charge starvation prevents the tearing instability. These results might be useful for developing more accurate models of particle acceleration in relativistic astrophysical sources.https://doi.org/10.3847/1538-4357/ad9d3aPlasma astrophysicsMagnetohydrodynamicsHigh energy astrophysics
spellingShingle Ivan Demidov
Yuri Lyubarsky
Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
The Astrophysical Journal
Plasma astrophysics
Magnetohydrodynamics
High energy astrophysics
title Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
title_full Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
title_fullStr Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
title_full_unstemmed Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
title_short Collisionless Tearing Instability in Relativistic Nonthermal Pair Plasma and Its Application to MHD Turbulence
title_sort collisionless tearing instability in relativistic nonthermal pair plasma and its application to mhd turbulence
topic Plasma astrophysics
Magnetohydrodynamics
High energy astrophysics
url https://doi.org/10.3847/1538-4357/ad9d3a
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AT yurilyubarsky collisionlesstearinginstabilityinrelativisticnonthermalpairplasmaanditsapplicationtomhdturbulence