New approach to the derivation of binary non-Markovian kinetic equations

Physica A: Statistical Mechanics and its Applications

Volumn 268, Issue 3-4, 1999, Pages 567-606

  Kipriyanov, A A ^a   Igoshin, O A ^a   Doktorov, A B ^b  

^a NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF CHEMICAL KINETICS AND COMBUSTION   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; MARKOV PROCESSES; MOLECULAR DYNAMICS; REACTION KINETICS; THERMODYNAMICS;

FADDEEV METHOD; FOCK SPACE; FOUR PARTICLE CORRELATIONS; NON-MARKOVIAN KINETIC EQUATIONS; THERMODYNAMIC LIMIT;

STATISTICAL MECHANICS;

EID: 0344339110     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00020-5     Document Type: Article

References (42)

1. Noyes R.M. J. Amer. Chem. Soc. 78:1956;5486.
2. S.G. Entelis, R.P. Tiger, Reaction Kinetics in Liquid Phase (Quantitative Account of the Medium Influence), Khimiya, Moscow, 1973 (in Russian).
3. A.I. Burshtein, Yu.D. Tsvetkov, Proc. USSR Acad. Sci. 214 (1974) 369 (in Russian).
4. A.A. Ovchinnikov, S.F. Timashev, A.A. Belyi, Kinetics of Diffusion Controlled Chemical Processes, Nova Science, Commack, NY, 1989.
5. Doktorov A.B., Kipriyanov A.A. Mol. Phys. 88:1996;453.
6. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 187:1994;251.
7. Waite T.R. Phys. Rev. 107:1957;463.
8. Doi M. J. Phys. A. 9:1976;1479.
9. Gopich I.V., Doktorov A.B. J. Chem. Phys. 105:1996;2320.
10. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Physica A. 255:1998;347.
11. Yu.L. Klimontovich, Statistical Physics, Harwood Academic, New York, 1986.
12. N.N. Bogolubov, N.N. Bogolubov Jr., Introduction to Quantum Statistic Mechanics, World Scientific, Singapore, 1982.
13. R. Balescu, Equilibrium and Non-equilibrium Statistical Mechanics, Wiley, New York, 1975.
14. Kuzovkov V.N., Kotomin E.A. Phys. State Sol.(b). 108:1981;37.
15. Kotomin E., Kuzovkov V. Chem. Phys. 76:1983;489.
16. Lee S., Karplus M. J. Chem. Phys. 86:1987;1883.
17. Lee S., Lee J.J., Shin K.J. Bull. Korean Chem. Soc. 15:1994;311.
18. Kirkwood J.G.J. Chem. Phys. 3:1935;300.
19. Szabo A., Zwanzig R., Agmon N. Phys. Rev. Lett. 61:1988;2496.
20. Szabo A. J. Phys. Chem. 93:1989;6929.
21. Mori H. Prog. Theor. Phys. 33:1965;423.
22. Kapral R. Adv. Chem. 48:1988;1479.
23. Sakun V.P. Physica A. 80:1975;128.
24. Doktorov A.B. Physica A. 90:1978;109.
25. Kipriyanov A.A., Doktorov A.B., Burshtein A.I. Chem. Phys. 76:1983;149.
26. Lukzen N.N., Doktorov A.B., Burshtein A.I. Chem. Phys. 102:1986;289.
27. Burshtein A.I., Frantsuzov P.A. J. Chem. Phys. 106:1997;3948.
28. Burshtein A.I., Lukzen N.N. J. Chem. Phys. 103:1995;9631.
29. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 187:1994;241.
30. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Chem. Phys. 191:1995;101.
31. P. Resibois, M. de Leener, Classical Kinetic Theory of Fluids, Wiley, New York, 1980.
32. E. Schmid, H. Ziegelmann, The Quantum Mechanical Three-body Problem, Pergamon Press, Braunschweig, 1978.
33. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Physica A. 205:1994;585.
34. Kipriyanov A.A., Doktorov A.B. Physica A. 230:1996;75.
35. Kipriyanov A.A., Doktorov A.B. Chem. Phys. Lett. 246:1995;359.
36. J. Taylor, The Scattering Theory, the Quantum Theory of Non-relativistic Collisions, Wiley, New York, 1972.
37. Kipriyanov A.A., Gopich I.V., Doktorov A.B. Physica A. 205:1994;585.
38. Doi M. J. Phys. 9:1976;1465.
39. Doktorov A.B., Kotomin E.A. Phys. Stat. Sol.(b). 114:1982;9.
40. H. Eyring, S.H. Lin, S.M. Lin, Basic Chemical Kinetics, Wiley, New York, 1980.
41. Yokota M., Tatimoto O. J. Phys. Soc. Japan. 22:1967;779.
42. S. Fujita, Introduction to Non-equilibrium Quantum Statistical Mechanics, Saunders, Philadelphia, 1966.