Competing reaction processes on a lattice as a paradigm for catalyst deactivation

Abstract

We mobilize both a generating function approach and the theory of finite Markov processes to compute the probability of irreversible absorption of a randomly diffusing species on a lattice with competing reaction centers. We consider an N-site lattice populated by a single deep trap, and N−1 partially absorbing traps (absorption probability 0

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© 2015 American Physical Society. Received 31 July 2014; published 6 February 2015. E.A. gratefully acknowledges financial support from the Spanish Government through Grant No. FIS2013-42840-P (partially funded by FEDER funds) as well as additional financial support from Junta de Extremadura through Grant No. GR10158. Part of this study was carried out while E.A. was a visiting professor at DePaul University, and while J.J.K. was in residence at the Beckman Institute. The latter author thanks H. B. Gray for his support and generous hospitality.

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Published - PhysRevE.91.022106.pdf

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