Association rates of diffusion-controlled reactions in two dimensions |
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Authors: | Alberto Gandolfi Anna Gerardi Federico Marchetti |
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Institution: | (1) Istituto di Analisi dei Sistemi ed Informatica del CNR, V. le Manzoni 30, 00185 Rome, Italy;(2) Dipartimento di Matematica, Università di Roma, La Sapienza, 00185 Rome, Italy |
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Abstract: | A detailed analysis of the main results concerning mathematical models of diffusion-controlled reactions in two dimensions is presented. Specific emphasis is placed on methods for evaluating association rates. After a review of planar models, the effects due to the curvature of the ambient space are investigated. Finally, different possible choices of boundary conditions are considered, and suggestions are given on their aptness to model different physicochemical situations. |
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Keywords: | Primary: 92A05 secondary: 60J60 |
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