TELEGRAPHERS EQUATIONS WITH VARIABLE PROPAGATION SPEEDS

Citation
J. Masoliver et Gh. Weiss, TELEGRAPHERS EQUATIONS WITH VARIABLE PROPAGATION SPEEDS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 3852-3854
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
5
Year of publication
1994
Part
A
Pages
3852 - 3854
Database
ISI
SICI code
1063-651X(1994)49:5<3852:TEWVPS>2.0.ZU;2-8
Abstract
All derivations of the one-dimensional telegrapher's equation, based o n the persistent random walk model, assume a constant speed of signal propagation. We generalize here the model to allow for a variable prop agation speed and study several limiting cases in detail. We also show the connections of this model with anomalous diffusion behavior and w ith inertial dichotomous processes.