title: Heat conduction in a three-dimensional momentum-conserving anharmonic lattice.
abstract: Heat conduction in three-dimensional anharmonic lattices was numerically studied by the Green-Kubo theory. For a given lattice width W, a dimensional crossover is generally observed to occur at a W-dependent threshold of the lattice length. Lattices shorter than W will display a 3D behavior while lattices longer than W will display a 1D behavior. In the 3D regime, the heat current autocorrelation function was found to show a power-law decay as a function of the time lag τ as τ^{β} with β=-1.2. This indicates normal heat conduction. However, the decay exponent deviates significantly from the conventional theoretical value of β=-1.5. A flat power spectrum S(ω) of the global heat current in the low-frequency limit was also observed in the 3D regime. This provides not only an alternative verification of normal heat conduction but also a clear physical insight into its origin.
authors.affiliation: Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China. phywanglei@ruc.edu.cn
authors.forename: Lei
authors.initials: L
authors.lastname: Wang
authors.forename: Dahai
authors.initials: D
authors.lastname: He
authors.forename: Bambi
authors.initials: B
authors.lastname: Hu