Volume 128, Number 2, October 2019
|Number of page(s)||5|
|Published online||19 December 2019|
Mixed nonergodicity of a forced system and its non-stationary strength
Department of Physics, Beijing Normal University - Beijing 100875, PRC
Received: 19 May 2019
Accepted: 28 October 2019
We report on mixed ergodicity breakdown in a forced system described by a generalized Langevin equation. We use the density of states for noise proposed by Costa et al. (Europhys. Lett., 63 (2003) 173), i.e., with a long-wavelength limit for acoustic phonons but zero weight at low frequencies. The velocity autocorrelation function for a particle in a harmonic potential is shown to oscillate with time and hence, we introduce a parameter to measure the non-stationary strength of its nonergodicity. The coupling between the self-oscillation and forced oscillation is found to weaken nonstationarity when the potential frequency is located in the middle of the frequency band for the driving noise. The systems nonergodicity is also accompanied by a dependence of the total energy of the particle moving in a periodic potential on the initial preparation.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 02.50.Ey – Stochastic processes
© EPLA, 2019
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