Heat conduction in a three dimensional anharmonic crystal

Keiji Saito, Abhishek Dhar

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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 Feb 10

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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