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Diffusion-Limited Binary Reactions: a Hierarchy of Non-Classical Regimes

Published online by Cambridge University Press:  15 February 2011

Panos Argyrakis ,
Raoul Kopelman  and
Katja Lindenberg
Panos Argyrakis
Affiliation:
Department of Chemistry, The University of Michigan, Ann Arbor, MI 48109and Department of Physics, University of Thessaloniki, GR-54006 Thessaloniki, Greece
Raoul Kopelman
Affiliation:
Departments of Chemistry and Physics, The University of Michigan, Ann Arbor, MI 48109
Katja Lindenberg
Affiliation:
Department of Chemistry and Institute for Nonlinear Science, University of California at San Diego, La Jolla, CA 92093-0340
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Abstract

We discuss the various regimes of kinetic behavior of the densities of reactants for the A + B → 0 reaction from initial to asymptotic times. Scaling arguments and Monte Carlo simulations demonstrate an unexpectedly rich hierarchy of cross-overs among time exponents ir the decay law ρ ˜ t−α. For instance, in one dimension possible time domains include classical (α = 1), A + A-type (α = 1/2), Zeldovich (α = 1/4), asymptotic correlated (α = 3/4) and finally nonalgebraic (exponential) finite size regimes. Simulation and theory are consistent with respect to both exponefits and cross-over times for one and two dimensions.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 290: Symposium N – Dynamics in Small Confining Systems , 1992 , 365
Copyright
Copyright © Materials Research Society 1993

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References

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