Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
The Journal of Chemical Physics
92 (1990), S. 6004-6010
ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
Floquet operator techniques are applied to a chemical reaction 2X→Y, to which X molecules are supplied periodically in time. The reaction is modeled as a death process with periodic immigration of the species X. We find the Floquet transition operator for this stochastic process, and we obtain exact expressions for the time-dependent probability distribution of the number of X molecules in the system, and the first and second moments of this distribution. The Floquet spectrum reveals the dynamics of the reaction process which is regular in this case. Numerical results for small systems are provided. The first moment agrees with the predictions of a kinetic model, while, as expected for small systems, fluctuations about the mean are significant.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.458371
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