2004/09/30 by Tania P. Simoes, Tania P. Simões, Roberto E. Lagos · 36 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian excursion #Brownian motion #Charged particle #Classical mechanics #Diffusion process #Exact solutions in general relativity #Geometric Brownian motion #Homogeneous #Ion #Particle (ecology) #Physics #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #cond-mat.other #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.physa.2005.03.034
published in Physica A Statistical Mechanics and its Applications 355(2-4), 274-282 (Elsevier BV) · minor corrections
arxiv created 2004/11/16 · openalex publication_date 2005/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report the exact fundamental solution for Kramers equation associated to a brownian gas of charged particles, under the influence of homogeneous (spatially uniform) otherwise arbitrary, external mechanical, electrical and magnetic fields. Some applications are presented, namely the hydrothermodynamical picture for Brownian motion in the long time regime.