Study of Charge Transport in Magnetized Relativistic Plasma Using Kinetic Theory
Researchers have obtained an exact analytic solution to the linearized Boltzmann equation in a uniform magnetic field, describing charge transport in a magnetized relativistic plasma. The solution, expressed in terms of Bessel functions, allows computation of the full set of retarded current-current correlators and extraction of charge diffusion behavior. The findings reveal that transverse charge diffusion is strongly suppressed by magnetic fields while longitudinal diffusion is unaffected, with implications for high-energy and nuclear physics.
A new preprint submitted to arXiv presents an analytic treatment of charge transport in a magnetized relativistic plasma using kinetic theory within the relaxation-time approximation. By exactly solving the linearized Boltzmann equation under a uniform magnetic field, the authors derive the distribution function in terms of Bessel functions and use it to compute the complete set of retarded current-current correlators, verifying consistency with Ward identities. In the hydrodynamic limit, the study finds that the transverse charge diffusion coefficient is strongly suppressed by the magnetic field, scaling as 1/B₀² in the strong-field regime, while longitudinal diffusion remains unaffected. Beyond hydrodynamics, the paper analyzes non-hydrodynamic branch cuts in the complex frequency plane, identifying their kinematic thresholds and linking them to longitudinal Landau damping and transverse cyclotron damping as the underlying wave-particle interaction mechanisms. The work spans multiple subfields including high-energy phenomenology, statistical mechanics, plasma physics, and nuclear theory, reflecting its broad relevance. The paper is 22 pages with 3 figures and has been submitted for community comment.
What's missing
As a preprint, this work has not yet undergone peer review, so its results and analytic claims remain unvalidated by independent referees. The study relies on the relaxation-time approximation, which is a simplification of full collision integrals; the authors do not discuss how results may change beyond this approximation or in non-uniform magnetic field configurations.
What different sources said
- arXiv physicsCenter
Retarded Correlators of Charge Transport in a Magnetic Field
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