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Stochastic sensitivity analysis in chemical kinetics

Costanza, Vicente and Seinfeld, John H. (1981) Stochastic sensitivity analysis in chemical kinetics. Journal of Chemical Physics, 74 (7). pp. 3852-3858. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:COSjcp81

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Abstract

The stochastic sensitivity analysis problem in chemical kinetics is defined as determining the probability density function (pdf) of the concentrations given probability density functions for the parameters and initial conditions. The joint concentration parameter pdf is found to satisfy the equation ([partial-derivative]p/[partial-derivative]t)+div(Fp) = 0, where the system dynamics are given by ? = F(x). The properties of the solution of this equation are studied, and the approach is applied to analyze the sensitivity of the kinetics of the photolysis of a mixture of carbon monoxide, nitrogen dioxide, nitric oxide, and water in air to uncertainties in the initial concentrations of the nitrogen oxides and in the values of two photolysis rate constants. Comparisons to other sensitivity analysis approaches are discussed.


Item Type:Article
Additional Information:Copyright © 1981 American Institute of Physics. (Received 20 October 1980; accepted 18 December 1980)
Subject Keywords:STOCHASTIC PROCESSES, CHEMICAL REACTION KINETICS, SENSITIVITY, PHOTOLYSIS, CARBON MONOXIDE, NIGROGEN DIOXIDE, NITRIC OXIDE, WATER VAPOR, AIR, MIXTURES
Record Number:CaltechAUTHORS:COSjcp81
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:COSjcp81
Alternative URL:http://dx.doi.org/10.1063/1.441615
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10707
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:04 Jun 2008
Last Modified:26 Dec 2012 10:04

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