Convective dispersion without molecular diffusion

Details Convective dispersion without molecular diffusion Convective dispersion without molecular diffusion

2003-01-09

arxiv.org/abs/cond-mat/0301125v1

Physics

Condensed Matter

Soft Condensed Matter

to appear in Physica A

Scientific paper

10.1016/S0378-4371(03)00027-X

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.

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