Heat conduction in a three dimensional anharmonic crystal

Keiji Saitou, Abhishek Dhar

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

We perform nonequilibrium simulations of heat conduction in a three dimensional anharmonic lattice. By studying slabs of length N and width W, we examine the crossover from one dimensional to three dimensional behavior of the thermal conductivity κ. We find that for large N, the crossover takes place at a small value of the aspect ratio W/N. From our numerical data we conclude that the three dimensional system has a finite nondiverging κ and thus provides the first verification of Fourier's law in a system without pinning.

Original languageEnglish
Article number040601
JournalPhysical Review Letters
Volume104
Issue number4
DOIs
Publication statusPublished - 2010
Externally publishedYes

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conductive heat transfer
crossovers
Fourier law
crystals
aspect ratio
slabs
thermal conductivity
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Heat conduction in a three dimensional anharmonic crystal. / Saitou, Keiji; Dhar, Abhishek.

In: Physical Review Letters, Vol. 104, No. 4, 040601, 2010.

Research output: Contribution to journalArticle

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