Random walker and the telegraphers equation: A paradigm of a generalized hydrodynamics

Philip Rosenau

doi:10.1103/PhysRevE.48.R655

Random walker and the telegraphers equation: A paradigm of a generalized hydrodynamics

Philip Rosenau^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The telegraphers equation (TE) is the continuum limit of a persisting random walker. We find that the TE reproduces the original spectrum almost exactly for all wavelengths far beyond the validity of the expansion. This surprising property is used as a paradigm towards the derivation of a generalized hydrodynamics. Applications to other problems are explored.

Original language	English
Pages (from-to)	R655-R657
Journal	Physical Review E
Volume	48
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.48.R655
State	Published - 1993
Externally published	Yes

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10.1103/PhysRevE.48.R655

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Random walker and the telegraphers equation: A paradigm of a generalized hydrodynamics

Abstract

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