2014/10/22 by Michael W. Reeks, Reeks, Michael W.
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1411.0692
7 pages 2 Figures
arxiv created 2014/10/22 · arxiv updated 2014/11/05
We analyze the escape of Brownian particles over potential barriers using the Fokker-Planck equation in a similar way to that of Chandrasekhar (Rev. Modern Phys., 1943), deriving a formula for the particle deposition velocity to a surface as a function of the particle response time. For very small particle response times, the particle deposition velocity reduces to that obtained using a quasi-steady solution of Smoluchowski's equation and for very large particle response times, the deposition velocity corresponds to that based on the transition state method (E. Wigner, Trans. Faraday Soc., 1938).