paper

Analytical solutions for a charged particle with white, thermal, and active noises in the presence of a uniform magnetic field

arXiv:2602.18273

Abstract

We study the two-dimensional equations of motion for a charged particle subjected to white, thermal, and active noises in uniform a magnetic field. By deriving the corresponding Fokker Planck equation, analytical solutions for the joint probability density are obtained in different time domains.

21 pages