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First Steps in Random WalksFrom Tools to Applications$
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J. Klafter and I. M. Sokolov

Print publication date: 2011

Print ISBN-13: 9780199234868

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199234868.001.0001

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Simple reactions: A + B → B

Simple reactions: A + B → B

Chapter:
(p.123) 9 Simple reactions: A + B → B
Source:
First Steps in Random Walks
Author(s):

J. Klafter

I.M. Sokolov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199234868.003.0009

One of the important applications of random walks in physics and chemistry is connected with the description of reactions in situations when standard schemes based on classical kinetics fail to give correct results. The failure of classical reaction‐ or reaction‐diffusion schemes is often due to fluctuation effects which are considered in this chapter on a specific example of an A+B‐〉B reaction scheme (catalytic decay). Again, the chapter first introduces a relevant tool, configurational averaging, and discusses the reactions between immobile reactants, as well as trapping and target problems. The first one corresponds to the case of mobile A and immobile B, the second one to a vice versa situation. The kinetics of these two seemingly similar reactions differ drastically. Considering mobile particles performing CTRW with power‐law waiting times unveils additional interesting aspects of the problem.

Keywords:   configurational averaging, target problem, trapping problem, fluctuation‐dominated kinetics

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