Review of heat and charge transport in strongly magnetized relativistic plasmas

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Hauptverfasser: Shovkovy, Igor A., Ghosh, Ritesh
Format: Preprint
Veröffentlicht: 2025
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author Shovkovy, Igor A.
Ghosh, Ritesh
author_facet Shovkovy, Igor A.
Ghosh, Ritesh
contents We review field-theoretic studies of charge transport in hot relativistic plasmas under strong magnetic fields and extend the analysis to thermal conductivity. The calculations rely on accurately determining the fermion damping rate. Using the Landau-level representation, these damping rates are computed exactly at leading order and incorporated into the Kubo formula to obtain the thermal and electrical conductivity tensors. Our analysis reveals that the mechanisms underlying longitudinal and transverse transport differ significantly. Strong magnetic fields markedly suppress transverse charge transport by confining particles within localized Landau orbits, allowing transport only through quantum transitions between these discrete states. In contrast, longitudinal charge transport is enhanced, as it primarily depends on the reduced scattering probability of particles moving along the direction of the magnetic field. The anisotropy of thermal conductivity is also nontrivial but less pronounced since its underlying transport mechanism is different. We also examine the modification of the Wiedemann--Franz law in strongly magnetized plasmas.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14956
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Review of heat and charge transport in strongly magnetized relativistic plasmas
Shovkovy, Igor A.
Ghosh, Ritesh
High Energy Physics - Phenomenology
Nuclear Theory
We review field-theoretic studies of charge transport in hot relativistic plasmas under strong magnetic fields and extend the analysis to thermal conductivity. The calculations rely on accurately determining the fermion damping rate. Using the Landau-level representation, these damping rates are computed exactly at leading order and incorporated into the Kubo formula to obtain the thermal and electrical conductivity tensors. Our analysis reveals that the mechanisms underlying longitudinal and transverse transport differ significantly. Strong magnetic fields markedly suppress transverse charge transport by confining particles within localized Landau orbits, allowing transport only through quantum transitions between these discrete states. In contrast, longitudinal charge transport is enhanced, as it primarily depends on the reduced scattering probability of particles moving along the direction of the magnetic field. The anisotropy of thermal conductivity is also nontrivial but less pronounced since its underlying transport mechanism is different. We also examine the modification of the Wiedemann--Franz law in strongly magnetized plasmas.
title Review of heat and charge transport in strongly magnetized relativistic plasmas
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2506.14956