# Analysis of the methods for the derivation of binary kinetic equations in the theory of fluorescence concentration quenching

## Abstract

In the framework of unified many-particle approach the familiar problem of fluorescence concentration quenching in the presence of pumping (light pulse) of arbitrary intensity is considered. This process is a vivid and the simplest example of multistage bulk reaction including bimolecular irreversible quenching reaction and reversible monomolecular transformation as elementary stages. General relation between the kinetics of multistage bulk reaction and that of the elementary stage of quenching has been established. This allows one to derive general kinetic equations (of two types) for the multistage reaction in question on the basis of general kinetic equations (differential and integro-differential) of elementary stage of quenching. Relying on the same unified many-particle approach we have developed binary approximations with the use of two (frequently employed in the literature) many-particle methods (such as simple superposition approximation and the method of extracting pair channels in three-particle correlation evolution) to the derivation of non-Markovian binary kinetic equations. The possibility of reducing the obtained binary equations to the Markovian equations of formal chemical kinetics has been considered. As an example the exact solution of the problem (for the specific case) is examined, and the applicability of two many particle methods of derivation of binary equations is analyzed.

- Authors:

- Voevodsky Institute of Chemical Kinetics and Combustion, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia and Physics Department Novosibirsk State University, Novosibirsk 630090 (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22308358

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Chemical Physics

- Additional Journal Information:
- Journal Volume: 141; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; APPROXIMATIONS; FLUORESCENCE; KINETIC EQUATIONS; KINETICS; MARKOV PROCESS; PARTICLES; PULSES; QUENCHING

### Citation Formats

```
Doktorov, A. B.
```*Analysis of the methods for the derivation of binary kinetic equations in the theory of fluorescence concentration quenching*. United States: N. p., 2014.
Web. doi:10.1063/1.4894285.

```
Doktorov, A. B.
```*Analysis of the methods for the derivation of binary kinetic equations in the theory of fluorescence concentration quenching*. United States. doi:10.1063/1.4894285.

```
Doktorov, A. B. Sun .
"Analysis of the methods for the derivation of binary kinetic equations in the theory of fluorescence concentration quenching". United States. doi:10.1063/1.4894285.
```

```
@article{osti_22308358,
```

title = {Analysis of the methods for the derivation of binary kinetic equations in the theory of fluorescence concentration quenching},

author = {Doktorov, A. B.},

abstractNote = {In the framework of unified many-particle approach the familiar problem of fluorescence concentration quenching in the presence of pumping (light pulse) of arbitrary intensity is considered. This process is a vivid and the simplest example of multistage bulk reaction including bimolecular irreversible quenching reaction and reversible monomolecular transformation as elementary stages. General relation between the kinetics of multistage bulk reaction and that of the elementary stage of quenching has been established. This allows one to derive general kinetic equations (of two types) for the multistage reaction in question on the basis of general kinetic equations (differential and integro-differential) of elementary stage of quenching. Relying on the same unified many-particle approach we have developed binary approximations with the use of two (frequently employed in the literature) many-particle methods (such as simple superposition approximation and the method of extracting pair channels in three-particle correlation evolution) to the derivation of non-Markovian binary kinetic equations. The possibility of reducing the obtained binary equations to the Markovian equations of formal chemical kinetics has been considered. As an example the exact solution of the problem (for the specific case) is examined, and the applicability of two many particle methods of derivation of binary equations is analyzed.},

doi = {10.1063/1.4894285},

journal = {Journal of Chemical Physics},

issn = {0021-9606},

number = 10,

volume = 141,

place = {United States},

year = {2014},

month = {9}

}