Nonlinear effective dynamics of a Brownian particle in magnetized plasma

Yanyan Bu, Biye Zhang, Jingbo Zhang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 nonequilibrium effective field theory formalism, and then confirmed via a microscopic holographic model consisting of an open string probing magnetic fifth-dimensional anti-de Sitter (AdS5) black brane. For practical usage, the non-Gaussian effective action is converted into Fokker-Planck-type equation, which is an Euclidean analog of Schrödinger equation and describes time evolution of probability distribution for particle's position and velocity.

Original languageEnglish
Article number086014
JournalPhysical Review D
Issue number8
StatePublished - 15 Oct 2022
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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