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 language | English |
|---|---|
| Article number | 040601 |
| Journal | Physical Review Letters |
| Volume | 104 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Heat conduction in a three dimensional anharmonic crystal
AU - Saitou, Keiji
AU - Dhar, Abhishek
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=75949125129&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=75949125129&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.104.040601
DO - 10.1103/PhysRevLett.104.040601
M3 - Article
C2 - 20366695
AN - SCOPUS:75949125129
VL - 104
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 4
M1 - 040601
ER -