Transition path dynamics across rough inverted parabolic potential barrier
- Transition path dynamics have been widely studied in chemical, physical, and technological systems. Mostly, the transition path dynamics is obtained for smooth barrier potentials, for instance, generic inverse-parabolic shapes. We here present analytical results for the mean transition path time, the distribution of transition path times, the mean transition path velocity, and the mean transition path shape in a rough inverted parabolic potential function under the driving of Gaussian white noise. These are validated against extensive simulations using the forward flux sampling scheme in parallel computations. We observe how precisely the potential roughness, the barrier height, and the noise intensity contribute to the particle transition in the rough inverted barrier potential.
| Author details: | Hua Li, Yong XuORCiD, Yongge Li, Ralf MetzlerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1140/epjp/s13360-020-00752-7 |
| ISSN: | 2190-5444 |
| Title of parent work (English): | The European physical journal : Plus |
| Publisher: | Springer |
| Place of publishing: | Berlin ; Heidelberg |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/07/22 |
| Publication year: | 2020 |
| Release date: | 2024/01/11 |
| Volume: | 135 |
| Issue: | 9 |
| Article number: | 731 |
| Number of pages: | 22 |
| Funding institution: | NSF of ChinaNational Natural Science Foundation of China (NSFC); [11772255, 11902118]; Research Funds for Interdisciplinary subject,; NWPU; Fundamental Research Funds for the Central Universities,; ChinaFundamental Research Funds for the Central Universities; Shaanxi; Province Project for Distinguished Young Scholars; Deutsche; ForschungsgemeinschaftGerman Research Foundation (DFG) [ME 1535/7-1]; Foundation for Polish Science (Fundacja na rzecz Nauki Polskiej) within; an Alexander von Humboldt Honorary Polish Research Scholarship |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
