title: Heat conduction in a three dimensional anharmonic crystal.
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 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.
authors.affiliation: Graduate School of Science, University of Tokyo, Tokyo, 113-0033, Japan. saitoh@spin.phys.s.u-tokyo.ac.jp
authors.forename: Keiji
authors.initials: K
authors.lastname: Saito
authors.forename: Abhishek
authors.initials: A
authors.lastname: Dhar
mesh_terms: D003198:Computer Simulation; D003460:Crystallization; D004560:Electricity; D006358:Hot Temperature; D013814:Thermal Conductivity