A many-particle derivation of non-Markovian kinetic equations of reversible reaction A + B ⇌ C in solutions based on the effective pairs approach

Physica A: Statistical Mechanics and its Applications

Volumn 326, Issue 1-2, 2003, Pages 105-128

  Kipriyanov, A A ^a   Doktorov, A B ^a  

^a NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

Author keywords

Diagram technique; Elementary reactions; Kinetic equations; Law of mass action; Many particle approach

Indexed keywords

REACTION KINETICS; SOLUTIONS; THERMODYNAMICS;

NON-MARKOVIAN KINETIC EQUATIONS;

CHEMICAL REACTIONS;

EID: 0038148610     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00288-7     Document Type: Article

References (23)

1. Resibois P., de Leener M. Classical Kinetic Theory of Fluids. 1980;Wiley, New York.
2. Fano V. Phys. Rev. 131:1963;259.
3. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Physica A. 255:1998;347.
4. Kipriyanov A.A., Igoshin A., Doktorov A.B. Physica A. 268:1999;567.
5. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 187:1994;241.
6. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 187:1994;251.
7. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 191:1995;101.
8. Igoshin O.A., Kipriyanov A.A., Doktorov A.B. Chem. Phys. 244:1999;371.
9. Kipriyanov A.A., Igoshin O.A., Doktorov A.B. Physica A. 275:2000;99.
10. Kipriyanov A.A., Doktorov A.B. Physica A. 286:2000;109.
11. Schmid E., Ziegelmann H. The Quantum Mechanical Three-Body Problem. 1978;Pergamon Press, Braunschweig.
12. Lee S., Karplus M. J. Chem. Phys. 86:1987;1883.
13. Naumann W. J. Chem. Phys. 96:1993;2353.
14. Molski A., Keizer J. J. Chem. Phys. 96:1992;1391.
15. Yang M., Lee S., Shin K.J. J. Chem. Phys. 108:1998;9069.
16. Gopich I.V., Doktorov A.B. J. Chem. Phys. 105:1996;2320.
17. Doktorov A.B., Kipriyanov A.A. Physica A. 319:2003;259.
18. R. Balescu, Equilibrium and Non-Equilibrium Statistical Mechanics, Vol. 1-2, Wiley, New York, 1978.
19. Kipriyanov A.A., Doktorov A.B. Physica A. 230:1996;75.
20. Waite T.R. Phys. Rev. 107:1957;463.
21. Vladimirov V.S. Equations of Mathematical Physics. 1981;Nauka, Moscow. (in Russian).
22. Doktorov A.B., Kipriyanov A.A. Physica A. 317:2002;41.
23. Eyuing H., Lein S.H., Lin S.M. Basic Chemical Kinetics. 1980;Wiley, New York.