Ergodicity breaking and ageing of underdamped Brownian dynamics with quenched disorder. (20th March 2018)

• Record Type: Journal Article
• Authors: Guo, Wei; Li, Yong; Song, Wen-Hua; Du, Lu-Chun
• Is Part Of: Journal of statistical mechanics. (2018:Mar.)
• Publication Date: 2018-03-20
• Subjects: 7 -- 9 -- 4 -- 12; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aab04d
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: The dynamics of an underdamped Brownian particle moving in one-dimensional quenched disorder under the action of an external force is investigated. Within the tailored parameter regime, the transiently anomalous diffusion and ergodicity breaking, spanning several orders of magnitude in time, have been obtained. The ageing nature of the system weakens as the dissipation of the system increases for other given parameters. Its origin is ascribed to the highly local heterogeneity of the disorder. Two kinds of approximations (in the stationary state), respectively, for large bias and large damping are derived. These results may be helpful in further understanding the nontrivial response of nonlinear dynamics, and also have potential applications to experiments and activities of biological processes.