Metastable lifetime for a class of chemical systems near criticality

Bernard Gaveau, Daniel Latrémolière and Michel Moreau

Physica A: Statistical Mechanics and its Applications, 2001, vol. 290, issue 1, 60-68

Abstract: We consider a n-dimensional autocatalytic chemical system with a finite metastable state which tends to become critical. Away from the critical situation, the relaxation time from the metastable state to the final absorbing state can be computed by using inverse of the stationary probability distribution of the system at its minimal value. It is difficult to obtain explicit results on the stationary probability distribution in general for several variables. Nevertheless, we can estimate this quantity near criticality and we show that its critical exponent is 2 under rather general conditions. This result is verified explicitly on an example, for which a direct calculation can be done.

Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100003605
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:290:y:2001:i:1:p:60-68

DOI: 10.1016/S0378-4371(00)00360-5

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 ().