Heat Conduction in one-dimensional Oscillator Lattices
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)Аннотация
In this work we numerically investigate the dynamical evolution and heat transport properites of a system that consists of two time-reversible thermostats connected either by a one-dimensional Fermi-Pasta-Ulam (FPU) or a Frenkel-Kontorova (FK) oscillator lattice, which are representative models of momentum-conserving and nonconserving systems, respectively. The thermostats are described by a chain of variables, Nosé-Hoover chains, which enhance the ergodicity of the thermostats, as can be deduced both from the phase-space portrait and from the shape of the momentum distribution functions of the thermostated oscillators. The temperature profile and heat flux of both models are compared with those obtained by the standard Nosé-Hoover method. The thermal conductivity of the FPU model, computed with the Nosé-Hoover chain method, has a stronger size-dependence for small oscillator number than that computed by the standard Nose-Hoover method.