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Dispersion in first passage time for biased diffusion. (English) Zbl 0614.60072
This comment presents Monte Carlo simulations of first passage times for biased diffusion on randomly dilute lattices, as a model for hydrodynamic dispersion. The calculated distributions show non-monotonic curves and non-monotonic derivatives. Possibly there is a simple exponential decay for large times. Fourier transformations demonstrate no 1/f frequency dependence.
MSC:
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
76R99 Diffusion and convection
65C05 Monte Carlo methods
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