Abstract
Using the classical version of the -matrix scattering theory, we develop a stochastic process called persistent random walk. We show that the one-channel Landauer diffusion coefficient can be obtained from a purely incoherent classical theory. The time dependent mesoscopic diffusion current satisfies a Maxwell-Cattaneo relation. Therefore the time dependent mesoscopic diffusion process is described by the telegrapher’s equation.
- Received 28 February 1997
DOI:https://doi.org/10.1103/PhysRevE.56.4884
©1997 American Physical Society