Biased continuous time random walks between parallel plates

Albert Compte, Ralf Metzler, Juan Camacho

Research output: Contribution to journalArticleResearchpeer-review

35 Citations (Scopus)

Abstract

The generalized scheme of continuous time random walks in moving fluids [A. Compte, Phys. Rev. E 55, 6821 (1997)] is applied to particles diffusing between parallel plates whose jumps are biased by a nonhomogeneous longitudinal velocity field. We observe that when the statistics governing diffusion is Brownian the results are those of Taylor dispersion, i.e., enhanced longitudinal diffusion due to the coupling of the transverse diffusion of the solute and the unidirectional velocity field. However, for Lévy flights with infinite mean waiting time we observe an anomalous dispersion approaching ballistic diffusion. We interpret this behavior as a consequence of the coupling between the flow and the waiting time statistics. © 1997 The American Physical Society.
Original languageEnglish
Pages (from-to)1445-1454
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
DOIs
Publication statusPublished - 1 Jan 1997

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