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- A B Doktorov, N N Lukzen, J B Pedersen
- The journal of physical chemistry. B
- 2008

The kinetics of the lipid peroxidation reaction is only partly understood. Although the set of reactions constituting the overall reaction are believed to be known, it has not been possible to predict how the reaction will respond to a change of one or more of the parameters, e.g., initial concentrations of reactants or different ways of initiating the… (More)

- Alexey A Kipriyanov, Alexander B Doktorov
- The Journal of chemical physics
- 2013

A many-particle homogeneous reacting system of reactants, where bulk reversible reaction A + B ↔ C takes place, is considered in the framework of the kinetic theory approach. The various forms of kinetic equations in the thermodynamic limit are obtained, and important relations between kinetic coefficients characterizing the course of bulk and the… (More)

- Alexander B Doktorov, Alexander A Kipriyanov, Alexey A Kipriyanov
- The Journal of chemical physics
- 2010

Using an modern many-particle method for the derivation of non-Markovian binary kinetic equations, we have treated theoretically the applicability of the encounter theory (ET) (the prototype of the collision theory) concepts to the widely known diffusion assisted irreversible bulk reaction A+A-->product (for example, radical reaction) in dilute solutions.… (More)

- Alexey A Kipriyanov, Alexander B Doktorov
- The Journal of chemical physics
- 2014

The analysis of general (matrix) kinetic equations for the mean survival probabilities of any of the species in a sample (or mean concentrations) has been made for a wide class of the multistage geminate reactions of the isolated pairs. These kinetic equations (obtained in the frame of the kinetic approach based on the concept of "effective" particles in… (More)

- Alexander B Doktorov
- The Journal of chemical physics
- 2016

Manifestations of the "cage" effect at the encounters of reactants have been theoretically treated on the example of multistage reactions (including bimolecular exchange reactions as elementary stages) proceeding from different active sites in liquid solutions. It is shown that for reactions occurring near the contact of reactants, consistent consideration… (More)

- M V Petrova, A B Doktorov, N N Lukzen
- Journal of magnetic resonance
- 2011

Exact explicit analytical expression for echoes in the Carr-Purcell-Meiboom-Gill sequence with arbitrary excitation and refocusing angles and resonance offset of RF pulses was obtained, employing the generating functions formalism developed earlier by authors. Asymptotic form and analytical approximation for echoes were derived in an elegant way and… (More)

- Alexander B Doktorov, Alexey A Kipriyanov
- The Journal of chemical physics
- 2011

A many-particle, in the general case, inhomogeneous reacting system of independent pairs of reactants, where geminate reversible reaction A+B⇄C takes place, is considered in the framework of the kinetic theory approach. The kinetic equations in the thermodynamic limit are obtained, and important relations between kinetic coefficients characterizing the… (More)

- Alexey A Kipriyanov, Alexander A Kipriyanov, Alexander B Doktorov
- The Journal of chemical physics
- 2016

Specific two-stage reversible reaction A + A ↔ C ↔ B + B of the decay of species C reactants by two independent transition channels is considered on the basis of the general theory of multistage reactions of isolated pairs of reactants. It is assumed that at the initial instant of time, the reacting system contains only reactants C. The employed general… (More)

- Alexander B Doktorov
- The Journal of chemical physics
- 2015

Manifestations of the "cage effect" at the encounters of reactants are theoretically treated by the example of multistage reactions in liquid solutions including bimolecular exchange reactions as elementary stages. It is shown that consistent consideration of quasi-stationary kinetics of multistage reactions (possible only in the framework of the encounter… (More)

- Alexander B Doktorov, Alexey A Kipriyanov
- The Journal of chemical physics
- 2014

General matrix approach to the consideration of multistage geminate reactions of isolated pairs of reactants depending on reactant mobility is formulated on the basis of the concept of "effective" particles. Various elementary reactions (stages of multistage reaction including physicochemical processes of internal quantum state changes) proceeding with the… (More)