Configurational effects in statistical theory of branched non-random polycondensation

Journal of Statistical Physics

Volumn 122, Issue 5, 2006, Pages 875-908

  Kuchanov, Semion I ^a,b   Tarasevich, Konstantin V ^a   Zharnikov, Timur V ^c  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^c A N NESMEYANOV INSTITUTE OF ORGANOELEMENT COMPOUNDS   (Russian Federation)

Author keywords

Gelation; Polymer networks; Statistical kinetics; Stochastic branching process

Indexed keywords

EID: 33645679487     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-005-9016-4     Document Type: Review

References (23)

1. Kinetics of Aggregation and Gelation, F. Family, D. P. Landau (eds.), (Elsevier Science Publishers, Amsterdam, 1984).
2. S. I. Kuchanov. Adv. Polym. Sci. 152:157 (2000).
3. S. Kuchanov, and H. Slot, A. Stroeks. Progr. Polym. Sci. 29:563 (2004).
4. M. H. Ernst, Nonequilibrium Phenomena. I. Boltzmann Equation, J. L. Lebowitz and E. W. Montroll, (eds.), chap. 3. (Elsevier Science Publishers, Amsterdam, 1983).
5. R. M. Ziff, Kinetics of Aggregation and Gelation, F. Family and D. P. Landau, (eds.), 191-199. (Elsevier Science Publishers, Amsterdam, 1984).
6. M. H. Ernst, Fundamental Problems in Statistical Mechanics, E. G. D. Cohen ed., vol. 6, 329-364. (Elsevier Science Publishers, Amsterdam, 1985).
7. M. Ernst, Fractals in Physics, L. Pietronero, E. Tossati, (eds.), chap. 6. (Elsevier Science Publishers, Amsterdam, 1986).
8. F. Leyvraz, Scaling theory and exactly solved models in the kinetics of irreversible aggregation. Physics Reports 383:95 (2003).
9. W. H. Stockmayer. J. Chem. Phys. 11(2):45 (1943).
10. M. Gordon. Proc. Royal Soc., Ser. A 268:240 (1962).
11. G. Dobson, M. Gordon. J. Chem. Phys. 41(8):2389 (1964).
12. In the theory of polymers the term "monad" is used to denote the fragment of a molecule including the monomeric unit together with the adjacent functional groups and chemical bonds linking this unit with the other ones. Monads are distinguished by kinds depending either on the number of these groups and bonds or on the pattern of their mutual arrangement.
13. S. I. Kuchanov, T. V. Zharnikov. J. Stat. Phys. 111(5/6):1273 (2003).
14. E. T. Whittaker, G. N. Watson, A Course of Modern Analysis, chap. 7. (Cambridge Univ. Press, 1927).
15. T. E. Harris, Theory of Branching Processes. (Springer-Verlag, 1963).
16. S. V. Korolev, S. I. Kuchanov, and M. G. Slin'ko. Polymer J. 15:785 (1983).
17. S. I. Kuchanov. Dok. Akad. Nauk USSR 249(4):899 (1979).
18. S. I. Kuchanov, and A. G. Kholostyakov. J. Polym. Sci., Ser. A 37:2145 (1999).
19. Ya. G. Batisheva, V. V. Vedenyapin, and S. I. Kuchanov. Journ. Mathem. Phys. 43(7):3695 (2002).
20. N. A. Plate, A. D. Litmanovich, and O. V. Noah, Macromolecular Reactions, (John Wiley, 1995).
21. S. I. Kuchanov, Mathematical Methods in Contemporary Chemistry, S. I. Kuchanov (ed.), pp. 267-368. Gordon and Breach Publ. (1996).
22. L. V. Ng, P. Thompson, J. Sanchez, C. W. Macosko, A. V.McCornick. Macromolecules 28(19):6471 (1995).
23. W. Feller, An Introduction to Probability Theory and Its Applications, vol. 2. (John Wiley & Sons, New York, 1966).