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  • Search: subject:"Many-particle approach"
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Elementary reactions 5 Kinetic equations 5 Many-particle approach 5 The law of mass action 3 Law of mass action 2 Diagram technique 1 Scavengers problem 1
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Doktorov, A.B. 4 Kipriyanov, A.A. 4 Doktorov, A.B 1 Fedorenko, S.G. 1 Kipriyanov, A.A 1
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Physica A: Statistical Mechanics and its Applications 5
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RePEc 5
Showing 1 - 5 of 5
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Exactly solvable models of a geminate reaction in the presence of scavengers
Fedorenko, S.G.; Kipriyanov, A.A.; Doktorov, A.B. - In: Physica A: Statistical Mechanics and its Applications 345 (2005) 3, pp. 421-434
The irreversible reaction of a geminate pair A+B→Product in dilute solution of scavengers is considered. The scavengers react with one of the partners, say B, thus accelerating its decay and decreasing a geminate reaction yield. The solution of the problem involves certain difficulties due to...
Persistent link: https://www.econbiz.de/10011057497
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A many-particle derivation of non-Markovian kinetic equations of reversible reaction A+B⇌C in solutions based on the effective pairs approach
Kipriyanov, A.A.; Doktorov, A.B. - In: Physica A: Statistical Mechanics and its Applications 326 (2003) 1, pp. 105-128
The non-Markovian kinetic equations for local concentrations have been derived in the effective pairs approximation on the basis of the hierarchy for correlation patterns of the reversible reaction A+B⇌C. The equations are shown to agree with the kinetic and thermodynamic detailed balancing...
Persistent link: https://www.econbiz.de/10011057325
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Non-Markovian kinetic equations of dissociation and reversible reaction A+B⇄C in solutions
Doktorov, A.B.; Kipriyanov, A.A. - In: Physica A: Statistical Mechanics and its Applications 317 (2003) 1, pp. 41-62
A consistent many-particle approach has been used to derive integro-differential kinetic equations of a bulk reaction …
Persistent link: https://www.econbiz.de/10011058665
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A many-particle derivation of the Integral Encounter Theory non-Markovian kinetic equations of the reversible reaction A+B⇄C in solutions
Doktorov, A.B.; Kipriyanov, A.A. - In: Physica A: Statistical Mechanics and its Applications 319 (2003) C, pp. 253-269
The non-Markovian binary kinetic equations for a rather realistic model of association–dissociation reaction A+B⇄C in liquid solutions are derived using a newly developed method based on a many-particle consideration. The method leads to an infinite hierarchy for correlation patterns that...
Persistent link: https://www.econbiz.de/10011061818
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General kinetic laws of dissociation and reversible reaction A+B⇄C in solutions
Kipriyanov, A.A; Doktorov, A.B - In: Physica A: Statistical Mechanics and its Applications 317 (2003) 1, pp. 63-82
Based on the non-Markovian kinetic equations of the reversible reaction A+B⇄C derived earlier, we have obtained the non-Markovian kinetic equations describing the reaction under consideration on macroscopic space–time scales. They define the non-Markovian kinetics of the systems with...
Persistent link: https://www.econbiz.de/10011061930
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