title: Anomalous heat conductivity induced by finite size and non-Markovian dynamics.
abstract: Heat conduction in a one-dimensional non-Markovian damping channel between two heat baths separated by a finite distance is studied numerically. It is found that the Fourier heat law is not obeyed for a finite-size underdamped channel under a Gaussian white noise and the coefficient of heat conductivity is a nonmonotonic function of the channel length in the sub-Ohmic damping case. The key dynamic feature is that the system does not approach the stationary state when it arrives at the cold bath for the former, and the system exhibits different diffusive behaviors from ballistic diffusion to subdiffusion at initial and asymptotic periods of time for the latter. We evaluate a damping-dependent critical separation size between two heat baths above which the heat conductivity becomes independent of the separation.
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: Xiao-Peng
authors.initials: XP
authors.lastname: Zhang
authors.forename: Jing-Dong
authors.initials: JD
authors.lastname: Bao