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Exact longtime asymptotics for reversible binding in three dimensions Noam Agmon and Irina V. Gopich a)
 

Summary: Exact long­time asymptotics for reversible binding in three dimensions
Noam Agmon and Irina V. Gopich a)
Department of Physical Chemistry and the Fritz Haber Research Center, The Hebrew University
of Jerusalem, Jerusalem 91904, Israel
#Received 28 September 1999; accepted 1 November 1999#
Using an iterative solution in Laplace--Fourier space, we obtain a rigorous mathematical proof for
the long­time asymptotics of reversible trapping in three dimensions with distance­dependent
reactivities obeying detailed balancing. © 2000 American Institute of Physics.
#S0021­9606#00#50505­4#
I. INTRODUCTION
A bimolecular chemical reaction in solution constitutes a
many­body problem. Even in the pseudounimolecular limit,
when one reactant #say, B# is in large excess over the other
#say, A# there are many B molecules which compete over
binding to A. Yet, such effects are generally thought to be of
little practical relevance. This impression possibly stems
from the intensive study of irreversible diffusion influenced
reactions, 1
A#B #
k a

  

Source: Agmon, Noam - Institute of Chemistry, Hebrew University of Jerusalem

 

Collections: Chemistry