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Temporal Diffusion

Jean Pierre Boon·Patrick Grosfils·James F. Lutsko
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Abstract

We consider the general problem of the first passage distribution of particles whose displacements are subject to time delays. We show that this problem gives rise to a \emph{propagation-dispersion equation} which is obtained as the continuous limit of the exact microscopic \emph{first visit equation}. The propagation-dispersion equation should be contrasted with the advection-diffusion equation as the roles of space and time are reversed, hence the name \emph{temporal diffusion}, which is a generic behavior encountered in an important class of systems.

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Jean Pierre Boon, Patrick Grosfils, James F. Lutsko. 2003-02-20. Temporal Diffusion. https://doi.org/10.1209/epl%2Fi2003-00521-4

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