Studies of the Nonergodicity Based on a Generalized Particle-plus-coupled-oscillator Chain Model

An generalized particle-plus-coupled-oscillator chain model was established. It includes four kinds of couplings between the gas particle and the coupled chain. With the generalized Langevin equation, the nonergodicity of the gas particle was investigated. The results show that different coupling ways leads to different damping kernels and spectrum functions, which reveal the underlying cause of the different long time asymptotic behaviors of the gas particle. Coordinate-coordinate coupling can induce the coordinate of the gas particle to be a nonergodic variance; while velocity relative coupling leads to the velocity nonergodicity.