Temporal Diffusion

Details Temporal Diffusion Temporal Diffusion

2003-02-20

arxiv.org/abs/cond-mat/0302420v1

Physics

Condensed Matter

Statistical Mechanics

7 pages including one figure

Scientific paper

10.1209/epl/i2003-00521-4

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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