One dimensional drift-diffusion between two absorbing boundaries: application to granular segregation

Details One dimensional drift-diffusion between two absorbing boundaries: application to granular segregation One dimensional drift-diffusion between two absorbing boundaries: application to granular segregation

2000-10-24

arxiv.org/abs/cond-mat/0010358v1

J. Phys. A: Math. Gen. vol. 34, 3191-3198 (2001)

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 5 pages, 6 figures

Scientific paper

10.1088/0305-4470/34/15/301

Motivated by a novel method for granular segregation, we analyze the one dimensional drift-diffusion between two absorbing boundaries. The time evolution of the probability distribution and the rate of absorption are given by explicit formulae, the splitting probability and the mean first passage time are also calculated. Applying the results we find optimal parameters for segregating binary granular mixtures.

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