2000/05/22 by R. Czopnik, Radosław Czopnik, Piotr Garbaczewski +1 · 77 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Classical mechanics #Magnetic field #Physics #Quantum mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.63.021105
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 63(2), 021105 (American Physical Society)
arxiv created 2000/05/22 · openalex publication_date 2001/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive explicit forms of Markovian transition probability densities for the velocity-space, phase-space, and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a hydrodynamical formalism for those stochastic processes, we quantify a continual (net on the local average) heat transfer from the thermostat to diffusing particles.