TY - JOUR
T1 - Heat conduction in a three dimensional anharmonic crystal
AU - Saito, Keiji
AU - Dhar, Abhishek
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
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.
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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 -