title: Brownian motion description of heat conduction by phonons.
abstract: A non-Markovian partial differential equation, rooted in the theory of Brownian motion, is proposed for describing heat conduction by phonons. Although a finite speed of propagation is a built-in feature of the equation, it does not give rise to an inauthentic wave front that results from the application of Cattaneo's equation. Even a simplified, analytically tractable version of the equation yields results close to those found by solving, through more elaborate means, the equation of phonon radiative transfer.
authors.affiliation: Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway.
authors.forename: K Razi
authors.initials: KR
authors.lastname: Naqvi
authors.forename: S
authors.initials: S
authors.lastname: Waldenstrøm