Heat conduction in one-dimensional oscillator lattices using Nosé-Hoover chain thermostats

In this work, we numerically study the dynamical evolution and heat transport properties of a system that consists of two time-reversible thermostats connected either by a one-dimensional Fermi-Pasta-Ulam or a Frenkel-Kontorova oscillator lattice, which are representative models of momentum-conserving and nonconserving systems, respectively. The thermostats were described by a chain of variables, Nosé-Hoover chains, which enhances the ergodicity of the thermostats in comparison to the Nosé-Hoover method. The time evolution of both lattices is not significantly altered by the dynamics of the thermostats. The temperature profile and heat flux of the Fermi-Pasta-Ulam model are more sensitive to the dynamics of the extended variables than those corresponding to the Frenkel-Kontorova model. Nevertheless we reproduce the scaling properties of the thermal conductivity with system size obtained by other authors.