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Persistent diffusion on a line |
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| Institution: | 1. Department of Mechanical Engineering, University of Colorado Boulder, CO 80309-0427, USA;2. Materials Science and Engineering Program, University of Colorado Boulder, CO 80309-0427, USA;1. Institut für Theoretische Physik II, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany;2. Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7-9, D-55128 Mainz, Germany |
| Abstract: | We consider solutions to the telegraph equation describing persistent diffusion on a line under various initial conditions. The first passage time distribution is evaluated in closed form. Biased persistent diffusion is also considered. A direct derivation of the telegraph equation from the stochastic equation for the displacement is presented in an appendix. |
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