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Excited‐State Reversible Geminate A*+B↔C*+D Reaction in Two Dimensions
Author(s) -
Park Kihyun,
Shin Kook Joe,
Kim Hyojoon
Publication year - 2010
Publication title -
chemistry – an asian journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.18
H-Index - 106
eISSN - 1861-471X
pISSN - 1861-4728
DOI - 10.1002/asia.200900585
Subject(s) - excited state , logarithm , laplace transform , quenching (fluorescence) , domain (mathematical analysis) , state (computer science) , transfer (computing) , mathematics , physics , mathematical analysis , chemistry , atomic physics , quantum mechanics , computer science , algorithm , parallel computing , fluorescence
The reversible geminate transfer reaction, A*+B↔C*+D, has been studied in two dimensions. For the excited‐state transfer reaction with two different lifetimes and quenching, the exact analytical Green functions have been generalized for an arbitrary initial condition in the Laplace domain. Long‐time asymptotic behaviors of survival probabilities have been analyzed in the time domain as well as short‐time expressions. The two‐dimensional survival probabilities have been found to show logarithmic decay behaviors of ${\left( {\ln t} \right)^{ - 1} }$ or ${t^{ - 1} \left( {\ln t} \right)^{ - 2} }$ at long times, depending on two lifetimes.