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Nonlinear effective dynamics of Brownian particle in magnetized plasma

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arxiv 2210.02274 v1 pith:3SUMK4MQ submitted 2022-10-05 hep-th hep-ph

Nonlinear effective dynamics of Brownian particle in magnetized plasma

classification hep-th hep-ph
keywords effectiveparticleactionbrownianequationmagnetizedorderplasma
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic order in its position. The effective action is first derived within non-equilibrium effective field theory formalism, and then confirmed via a microscopic holographic model consisting of an open string probing magnetic AdS$_5$ black brane. For practical usage, the non-Gaussian effective action is converted into Fokker-Planck type equation, which is an Euclidean analog of Schr$\ddot{\rm o}$dinger equation and describes time evolution of probability distribution for particle's position and velocity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Lindbladian for holographic Brownian motion

    hep-th 2026-06 unverdicted novelty 7.0

    Derives and analyzes a Lindbladian for holographic Brownian motion in BTZ and AdS5 black brane backgrounds from the influence functional.

  2. Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background

    hep-th 2025-09 unverdicted novelty 4.0

    Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficien...