Stochastic Modeling of Oxidation of Defected Graphite

International Journal of Mathematics and Systems Science

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Title Stochastic Modeling of Oxidation of Defected Graphite
Creator Chen, Wei-Yin
Gordji, Leili
Sajjadi, Baharak
Description To portray the experimentally observable stochastic nature of oxidation of defected graphite,the piecewise linear, two-stage model was derived in the previous work to which the currentcontribution is a sequel. The model takes into account all the major features of the classicdeterministic, graphite oxidation model of Nagle and Strickland-Constable (NSC) including thesimultaneous conversion of the identity of an adjacent basal cluster to an edge cluster. The NSCmodel assumes that there are secondary reactions in the second stage due to the decrease in basalclusters. The model, however, contains a noticeable uncertainty as to the identification of thebreaking point caused by the transition between the two linear stages. This uncertainty is eliminatedby incorporating in the nonlinear stochastic model proposed in the present work a parameter whichrenders the extent of the secondary reactions proportional to the concentration of basal clusters inthe carbon matrix. The validity of incorporating this parameter has been amply demonstrated by thefact that the variances around the means, derived through the method of system-size expansion ofthe nonlinear master equation of the current model, are appreciably less than those of the previousmodel.
Publisher EnPress Publisher LLC
Contributor Department of Chemical Engineering Anderson Hall University of Mississippi University, MS 38677 USA
Date 2018-09-05
Type info:eu-repo/semantics/article
Peer-reviewed Article
Format application/pdf
Source International Journal of Mathematics and Systems Science; Pre-published article
Language eng
Rights Copyright (c) 2018 International Journal of Mathematics and Systems Science

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