Heat conduction in a three dimensional anharmonic crystal.
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 kappa. 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 kappa and thus provides the first verification of Fourier's law in a system without pinning.
Saito
Keiji
K
Graduate School of Science, University of Tokyo, Tokyo, 113-0033, Japan. saitoh@spin.phys.s.u-tokyo.ac.jp
Dhar
Abhishek
A
D003198:Computer Simulation; D003460:Crystallization; D004560:Electricity; D006358:Hot Temperature; D013814:Thermal Conductivity