2006/10/03 by Cristobal Lopez, Crístobal López, Umberto Marini Bettolo Marconi · 15 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian dynamics #Brownian motion #Classical mechanics #Field (mathematics) #Langevin equation #Mathematics #Physics #Quantum mechanics #Scale (ratio) #Smoluchowski coagulation equation #Spectroscopy and Quantum Chemical Studies #Statistical physics #Temperature gradient #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.75.021101
published in Physical Review E 75(2), 021101 (American Physical Society) · 8 pages, 2 figures
arxiv created 2006/10/03 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Smoluchowski equation for a system of Brownian particles in a temperature gradient is derived from the Kramers equation by means of a multiple time-scale method. The interparticle interactions are assumed to be represented by a mean-field description. We present numerical results that compare well with the theoretical prediction together with an extensive discussion on the prescription of the Langevin equation in overdamped systems.