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

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)R655-R657
JournalPhysical Review E
Volume48
Issue number2
DOIs
StatePublished - 1993
Externally publishedYes

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