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Article
Deterministic models of the simplest chemical reactions
Journal of Statistical Physics
  • Leonid A. Bunimovich
  • Mark Demers, Fairfield University
Document Type
Article
Article Version
Post-print
Publication Date
1-1-2005
Abstract

We present a general mathematical framework for constructing deterministic models of simple chemical reactions. In such a model, an underlying dynamical system drives a process in which a particle undergoes a reaction (changes color) when it enters a certain subset (the catalytic site) of the phase space and (possibly) some other conditions are satisfied. The framework we suggest allows us to define the entropy of reaction precisely and does not rely, as was the case in previous studies, on a stochastic mechanism to generate additional entropy. Thus our approach provides a natural setting in which to derive macroscopic chemical reaction laws from microscopic deterministic dynamics without invoking any random mechanisms.

Comments

Copyright 2005 Springer-Verlag

The final publication is available at www.springerlink.com.

Published Citation
Leonid A. Bunimovich and Mark Demers, "Deterministic models of the simplest chemical reactions," Journal of Statistical Physics 120 (2005), 239-252.
DOI
10.1007/s10955-005-5254-8
None
Peer Reviewed
Citation Information
Leonid A. Bunimovich and Mark Demers. "Deterministic models of the simplest chemical reactions" Journal of Statistical Physics Vol. 120 (2005)
Available at: http://works.bepress.com/mark_demers/10/