Knowledge Management System of Institue of Mechanics, CAS
| Kramers Escape Rate in Nonlinear Diffusive Media | |
| Zhao JL(赵江林); Bao JD; Gong WP; Zhao, JL (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. | |
| Source Publication | Journal of Chemical Physics
 |
| 2006 | |
| Volume | 124Issue:2Pages:024112 |
| ISSN | 0021-9606 |
| Abstract | In this paper, we study nonlinear Kramers problem by investigating overdamped systems ruled by the one-dimensional nonlinear Fokker-Planck equation. We obtain an analytic expression for the Kramers escape rate under quasistationary conditions by employing; In this paper, we study nonlinear Kramers problem by investigating overdamped systems ruled by the one-dimensional nonlinear Fokker-Planck equation. We obtain an analytic expression for the Kramers escape rate under quasistationary conditions by employing a metastable potential and its predictions are in excellent agreement with numerical simulations. The results exhibit the anomalies due to the nonlinearity in W that the escape rate grows with D and drops as mu becomes large at a fixed D. Indeed, particles in the subdiffusive media (mu>1) can escape over the barrier only when D is above a critical value, while this confinement does not exist in the superdiffusive media (mu < 1). |
| Subject Area | 力学 |
| DOI | 10.1063/1.2150433 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000234607700017 |
| WOS Keyword | ANOMALOUS DIFFUSION ; DYNAMICS ; MODEL |
| WOS Research Area | Physics |
| WOS Subject | Physics, Atomic, Molecular & Chemical |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/16128 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Zhao, JL (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Zhao JL,Bao JD,Gong WP,et al. Kramers Escape Rate in Nonlinear Diffusive Media[J]. Journal of Chemical Physics,2006,124,2,:024112. |
| APA | 赵江林,Bao JD,Gong WP,&Zhao, JL .(2006).Kramers Escape Rate in Nonlinear Diffusive Media.Journal of Chemical Physics,124(2),024112. |
| MLA | 赵江林,et al."Kramers Escape Rate in Nonlinear Diffusive Media".Journal of Chemical Physics 124.2(2006):024112. |
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