Staying dynamics: An approach to solve the inverse Kramers problem

Zhan-Wu Bai and Jing-Dong Bao

Physica A: Statistical Mechanics and its Applications, 2020, vol. 548, issue C

Abstract: The inverse Kramers problem, i.e., a particle passing over the barrier of a metastable potential and then escaping from the potential well, can be applied to model many subjects such as nuclear and atom cluster fusions, molecular collision. We consider the metastable potential to be a parabolic potential linking smoothly with a harmonic potential, thus the staying dynamics of a particle in the metastable potential well is investigated semi-analytically. The analytical expression of time-dependent staying probability is obtained through a coarse graining scheme for the particle multi-passing process over the joint point of potentials. A combination of the Kramers rate formula for intermediate to long times with our theoretical results is in well agreement with the Langevin simulations. The staying probability at the crossover between our result and the Kramers formula may be used to improve the calculation of the fusion probability in superheavy nuclei synthesis.

Keywords: Inverse Kramers problem; Staying dynamics; Coarse graining; Numerical simulation (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120302119
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:548:y:2020:i:c:s0378437120302119

DOI: 10.1016/j.physa.2020.124483

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().