Abstract
A scheme for calculating polydispersity coefficients of polymers during chain propagation in living polymerization is proposed on the basis of the synergistic approach (the master equation) with allowance for fluctuations in the number of free radicals at the stage of initiation. The molecular-mass-distribution function of living chains is calculated. The form of this function is shown to be dependent on the ratio between the constants of the elementary stages of chain initiation and propagation.
Similar content being viewed by others
References
S. Ya. Frenkel’, Introduction to Statistical Theory of Polymerization (Nauka, Moscow, 1965) [in Russian].
N. G. Rambidi and A. V. Berezkin, Physical and Chemical Fundamentals of Nanotechnology (Fizmatlit, Moscow, 2009) [in Russian].
H. Haken, Synergetics (Springer, Heidelberg, 1978; Mir, Moscow, 1980).
C. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and Natural Sciences (Springer, Heidelberg, 1983; Mir, Moscow, 1986).
I. Prigogine, From Being to Becoming (W.Y. Freeman, San Francisco; KomKniga, Moscow, 2006).
M. Seelberg and M. Thorn, Macromol. Theory Simul. 3, 825 (1994).
V. A. Kabanov, V. P. Zubov, and Yu. D. Semchikov, Complex-Radical Polymerization (Khimiya, Moscow, 1987) [in Russian].
E. F. Mishchenko and N. Kh. Rozov, Differential Equations with Small Parameter and Relaxation Oscillations (Nauka, Moscow, 1975) [in Russian].
P. W. Anderson, Phys. Rev. Lett. 34, 953 (1975).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.N. Turaeva, B.L. Oksengendler, B. Askarov, J. Azimov, S.Sh. Rashidova, 2013, published in Russian in Vysokomolekulyarnye Soedineniya, Ser. B, 2013, Vol. 55, No. 1, pp. 111–113.
Rights and permissions
About this article
Cite this article
Turaeva, N.N., Oksengendler, B.L., Askarov, B. et al. A synergistic approach to the polydispersity of polymers. Polym. Sci. Ser. B 55, 52–54 (2013). https://doi.org/10.1134/S1560090412100119
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1560090412100119