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http://dx.doi.org/10.5012/bkcs.2012.33.3.1015

Direct Calculation Method for Excited-state Diffusion-influenced Reversible Reactions with an External Field  

Reigh, Shang Yik (Theoretical Soft Matter and Biophysics, Institute of Complex Systems and Institute for Advanced Simulation)
Kim, Hyo-Joon (Department of Chemistry, Dong-A University)
Publication Information
Bulletin of the Korean Chemical Society / v.33, no.3, 2012 , pp. 1015-1019 More about this Journal
Abstract
The direct calculation method is generalized to the excited-state diffusion-influenced reversible reaction of a neutral and a charged particle under an external field with two different lifetimes and quenching in three dimensions. The present method provides an alternative way to calculate the binding probability density functions and the survival probabilities from the corresponding irreversible results. The solutions are obtained as the series solutions by the diagonal approximation due to the anisotropy of the unidirectional external field. The numerical results are found to be in good agreement with those of the previous study [S. Y. Reigh et al. J. Chem. Phys. 132, 164112 (2010)] within a weak field limit. The solutions of two approaches show qualitatively the same overall behavior including the power laws at long times.
Keywords
Reversible reaction; External field; Reaction-diffusion systems; Excited state reaction; Anisotropy;
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  • Reference
1 Hong K. M.; Noolandi, J. J. Chem. Phys. 1978, 69, 5026.   DOI
2 Tachiya, M. J. Chem. Phys. 1987, 87, 4622   DOI
3 Traytak, S. D.; Barzykin, A. V.; Tachiya, M. J. Chem. Phys. 2004, 120, 10111.   DOI   ScienceOn
4 Reigh, S. Y.; Shin, K. J.; Tachiya, M. J. Chem. Phys. 2008, 129, 234501.   DOI   ScienceOn
5 Reigh, S. Y.; Shin, K. J.; Kim, H. J. Chem. Phys. 2010, 132, 164112.   DOI   ScienceOn
6 Tachiya, M. In Extended Abstract of Annual Meeting on Photochemistry, Tsukuba, Japan, 1980; p 256.
7 Sano, H.; Tachiya, M. J. Chem. Phys. 1979, 71, 1276.   DOI
8 Agmon, N.; Szabo, A. J. Chem. Phys. 1990, 92, 5270.   DOI
9 Reigh, S. Y. Ph.D. thesis, Seoul National University, Korea, 2009.
10 Abramowitz, M.; Stegun, I. A. Handbook of Mathematical Functions; Dover: New York, 1970.
11 Press, W. H.; Flannery, B. P.; Teukosky, S. A.; Vetterling, W. T. Numerical Recipes in Fortran; Cambridge University Press: Cambridge, 1992.
12 Traytak, S. D.; Barzykin, A. V. J. Chem. Phys. 2007, 127, 215103.   DOI   ScienceOn
13 Ivanov, K. L.; Lukzen, N. N.; Doktorov, A. B.; Burshtein, A. I. J. Chem. Phys. 2001, 114, 1754.   DOI   ScienceOn
14 Tachiya, M.; Seki, K. J. Phys. Chem. A 2007, 111, 9553.   DOI   ScienceOn
15 Kim, H.; Hwang, H.; Rossky, P. J. J. Phys. Chem. A 2006, 110, 11223.   DOI   ScienceOn
16 Solntsev, K. M.; Huppert, D.; Agmon, N. Phys. Rev. Lett. 2001, 86, 3427.   DOI   ScienceOn
17 Kim, H.; Kapral, R. J. Chem. Phys. 2006, 125, 234309.   DOI   ScienceOn
18 Kim, H.; Kapral, R. ChemPhysChem 2008, 9, 470.   DOI   ScienceOn
19 Dhont, J. K. G. An Introduction to Dynamics of Colloids; Elsevier: Amsterdam, 1996.
20 Doi, M.; Edwards, S. F. The Theory of Polymer Dynamics; Clarendon Press: Oxford, 1986
21 Park, S.; Shin, K. J. Chem. Asian J. 2006, 1, 216.   DOI   ScienceOn
22 Wilemski, G.; Fixman, M. J. Chem. Phys. 1974, 60, 866.   DOI
23 Myers, S. M.; Wright, A. F. J. Appl. Phys. 2003, 93, 2608.   DOI   ScienceOn
24 Kim, H.; Shin, K. J. J. Chem. Phys. 2004, 120, 9142.   DOI   ScienceOn
25 Park, S.; Shin, K. J. J. Phys. Chem. B 2008, 112, 6241.   DOI   ScienceOn
26 Park, S.; Shin, K. J. Chem. Asian J. 2008, 3, 1266.   DOI   ScienceOn
27 Kim, H.; Shin, K. J.; Agmon, N. J. Chem. Phys. 2001, 114, 3905.   DOI   ScienceOn
28 Chandrasekhar, S. Rev. Mod. Phys. 1943, 15, 1.   DOI
29 Onsager, L. J. Chem. Phys. 1938, 54, 554.   DOI
30 Rice, S. A. In Diffusion-Limited Reactions, Comprehensive Chemical Kinetics; Bamford, C. H., Tipper, C. F. H., Compton, R. G., Eds.; Elsevier: Amsterdam, 1985; Vol. 25.
31 Kim, H.; Yang, M.; Choi, M.-U.; Shin, K. J. J. Chem. Phys. 2001, 115, 1455.   DOI   ScienceOn
32 Kim, H.; Shin, K. J. J. Phys.: Condens. Matter 2007, 19, 065137.   DOI   ScienceOn
33 Park, S.; Agmon, N. J. Phys. Chem. B 2008, 112, 5977.   DOI   ScienceOn
34 Zwangzig, R.; Szabo, A. Biophys. J. 1991, 60, 671.   DOI   ScienceOn