Diffusion at finite speed and random walks

  1. Joseph B. Keller*
  1. Department of Mathematics, Stanford University, Stanford, CA 94305-2125

  1. Contributed by Joseph B. Keller, November 12, 2003

Abstract

Diffusion, which occurs with infinite speed, results from a random walk with steps of finite speed. We resolve this paradox and derive a modified diffusion equation with finite speed.

Footnotes

  • ↵ * E-mail: keller{at}math.standford.edu.

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  1. Published online before print January 20, 2004, doi: 10.1073/pnas.0307052101 PNAS February 3, 2004 vol. 101 no. 5 1120-1122
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