Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models |
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| Authors: | Bernard Gaveau Michel Moreau Janos Toth |
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| Affiliation: | (1) Laboratoire Equations aux dérivées partielles, Mathématiques, Université Pierre et Marie Curie, boîte courrier: 172, Tour 46, 5ème étage, 4, place Jussieu, 75252 Paris Cedex 05, France;(2) Laboratoire Physique Théorique des liquides, Université Pierre et Marie Curie, Tour 46, 5ème étage, 4, place Jussieu, 75252 Paris Cedex 05, France;(3) Department of Computer Science, Agricultural University, Pater K. u. 1, H-2103 Gödöllö, Hungary |
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| Abstract: | We show, using a specific example of a chemical reaction, that the rate constants predicted from the discrete master equation and its continuum Fokker-Planck approximations differ in exponential order with respect to the size of the system. |
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| Keywords: | 80A30 |
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