2003/01/09 by Kevin D. Dorfman, Howard Brenner
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Diffusion and Search Dynamics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/s0378-4371(03)00027-x
to appear in Physica A
arxiv created 2003/01/09 · openalex publication_date 2003/04/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A method-of-moments scheme is invoked to compute the asymptotic, long-time mean (or composite) velocity and dispersivity (effective diffusivity) of a two-state particle undergoing one-dimensional convective-diffusive motion accompanied by a reversible linear transition (``chemical reaction'' or ``change in phase'') between these states. The instantaneous state-specific particle velocity is assumed to depend only upon the instantaneous state of the particle, and the transition between states is assumed to be governed by spatially-independent, first-order kinetics. Remarkably, even in the absence of molecular diffusion, the average transport of the ``composite'' particle exhibits gaussian diffusive behavior in the long-time limit, owing to the effectively stochastic nature of the overall transport phenomena induced by the interstate transition. The asymptotic results obtained are compared with numerical computations.