Stochastic theory of diffusion-controlled reactions

M. Moreau, G. Oshanin, O. Bénichou and M. Coppey

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 99-104

Abstract: We study the kinetics of diffusion-controlled A+B→B reactions, in which both species are moving randomly on a d-dimensional lattice and react upon encounters, provided that both species are in reactive states. Particles’ reactivity fluctuates randomly between active and passive forms. We find that in low dimensions the A particle survival probability Ψ(t) is described by a stretched-exponential function of time, such that no reaction constant can be identified. In three dimensions, we recover the exponential decay law and evaluate the effective reaction constant in several particular cases. In addition, we derive some rigorous bounds on Ψ(t).

Keywords: Diffusion-controlled reactions; Stochastically gated reactions (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103004588
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:327:y:2003:i:1:p:99-104

DOI: 10.1016/S0378-4371(03)00458-8

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 ().