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On the Lattice Thermal Conduction

Hiroshi Nakazawa
- 01 May 1970 - 
- Vol. 45, Iss: 45, pp 231-262
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This article is published in Progress of Theoretical Physics Supplement.The article was published on 1970-05-01 and is currently open access. It has received 88 citations till now. The article focuses on the topics: Thermal conduction & Thermal contact conductance.

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Journal ArticleDOI

Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs

TL;DR: In this article, the authors considered a d-dimensional harmonic crystal in contact with a stochastic Langevin type heat bath at each site and proved that this requirement uniquely fixes the temperatures and the self consistent system has a unique steady state.
Book ChapterDOI

On the origin and the use of fluctuation relations for the entropy

TL;DR: In this paper, a unifying framework for entropy symmetries under time-reversal has been proposed, and an algorithm to derive them is presented, which can be seen as a generalization of fluctuation-dissipation relations.
Journal ArticleDOI

Heat conduction and sound transmission in isotopically disordered harmonic crystals

TL;DR: In this paper, it was shown that for almost all disordered chains the transmission coefficient of a plane wave with frequency ω, tN(ω), decays exponentially in N, the length of the disordered chain, with the decay constant proportional to ω2 for small ω.
Journal ArticleDOI

Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions.

TL;DR: In d-dimensional lattices of coupled quantum harmonic oscillators, analytical solutions of the heat current through the quantum system in the nonequilibrium steady state are provided using the rotating-wave approximation and bath interactions described by a master equation of Lindblad form.
Journal ArticleDOI

Non-equilibrium steady states in the Klein–Gordon theory

TL;DR: In this article, the authors considered the Klein?Gordon theory in arbitrary space dimension d following a local quench and obtained exact results for the average energy current and the complete distribution of energy current fluctuations.
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