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Short‐time description of chemical reaction by Stochastic methods
Author(s) -
Fonseca Teresa,
Gomes J. A. N. F.,
Grigolini Paolo
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230216
Subject(s) - multiplicative function , multiplicative noise , noise (video) , statistical physics , fraction (chemistry) , smoluchowski coagulation equation , range (aeronautics) , chemical reaction , stochastic process , chemistry , mathematics , computational chemistry , thermodynamics , physics , mathematical analysis , statistics , materials science , computer science , chromatography , organic chemistry , signal transfer function , digital signal processing , artificial intelligence , composite material , analog signal , image (mathematics) , computer hardware
Abstract For a double well potential, the Smoluchowski equation including a multiplicative noise is solved by a method that depends on a continued fraction expansion. The relation between the rate of escape over the barrier and a noise parameter is discussed. The method of solution used, being applicable to both short and long time scales, may be useful for the study of certain types of incubation times observed in chemical reactions.