The Brownian motion theory of chemical transition rates

C. Blomberg

Physica A: Statistical Mechanics and its Applications, 1977, vol. 86, issue 1, 49-66

Abstract: The complete Fokker-Planck equation of the Brownian motion in a potential consisting of harmonic parts is studied as a method of providing chemical transition rates. General, analytic solutions are obtained for the situations of moderate or strong damping. These results generalize the treatment of Kramers1), primarily based upon the simpler Smoluchowski equation. For a sharp potential maximum, there is an appreciable deviation from the earlier results. However, for a potential maximum, around which, there is a smooth, harmonic character over the entire region where the deviation from equilibrium is appreciable, it is found that a simple result of Kramers is valid in a wide range of the parameters involved. There is no restriction upon the energy barrier in the method, which would be applicable for calculating transformation or dissociation rates of macromolecular weak bonds.

Date: 1977
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437177900619
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:86:y:1977:i:1:p:49-66

DOI: 10.1016/0378-4371(77)90061-9

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 ().