Diffusion-controlled intrachain reactions of polymers. i Theory

The Journal of Chemical Physics

Volumn 60, Issue 3, 1974, Pages 866-877

  Wilemski, Gerald ^a   Fixman, Marshall ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36749114331     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1681162     Document Type: Article

References (33)

1. Besides Refs. 1 and 4, the following articles also deal with some theories and experiments concerning intrachain reactions which are not diffusion-controlled
2. the following article, the ring closure reaction that was studied is asserted to be diffusion-controlled. However, on the basis of our calculations the reported rates are too low to show such an effect.
3. Some theories and experiments concerning ring-chain competition in polymerization reactions are presented in the following articles. As formulated therein, the kinetic scheme could be utilized even if the various reactions were diffusion-controlled, provided the appropriate rate “constants” (in general, dependent on time and molecular weight) were employed.
4. See Refs. 41–47 of Ref. 2.
5. This result is easily obtained from Eq. (53) of Ref. 8.
6. One can construct a set of boson operators for the three-dimensional Hermite equation. The equivalence can then be readily established by using techniques similar to those which we employed in evaluating the reduced Green’s functions. For a more conventional approach see
7. Both articles are reprinted in Selected Papers on Noise and Stochastic Processes
8. The identity is also simply stated in