2022/10/05 by Yanyan Bu, Bu, Yanyan, Biye Zhang +3 · 1 citation
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2210.02274
openalex publication_date 2022/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 AdS5 black brane. For practical usage, the non-Gaussian effective action is converted into Fokker-Planck type equation, which is an Euclidean analog of Schr\rm odinger equation and describes time evolution of probability distribution for particle's position and velocity.