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Volumn 29, Issue 7, 1996, Pages 2674-2685

Theory of diffusion-controlled reactions in polymers under flow

Author keywords

[No Author keywords available]

Indexed keywords

BLENDING; CALCULATIONS; CHEMICAL VARIABLES CONTROL; DIFFUSION; FREE RADICALS; MATHEMATICAL MODELS; REACTION KINETICS; SHEAR FLOW;

EID: 0030106070     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma951539y     Document Type: Article
Times cited : (51)

References (35)
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    • (1916) Phys. Z. , vol.17 , pp. 557
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    • Wilemski, G.; Fixman, M. J. Chem. Phys. 1973, 58, 4009; 1974, 60, 866, 878.
    • (1974) J. Chem. Phys. , vol.60 , pp. 866
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    • Doi, M. Chem. Phys. 1975, 9, 455; 1975, 11, 107, 115.
    • (1975) Chem. Phys. , vol.9 , pp. 455
    • Doi, M.1
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    • Doi, M. Chem. Phys. 1975, 9, 455; 1975, 11, 107, 115.
    • (1975) Chem. Phys. , vol.11 , pp. 107
  • 19
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    • Bernard, D. A.; Noolandi, J. Phys. Rev. Lett. 1983, 50, 253. Noolandi, J.; Hong, K. M.; Bernard, D. A. Macromolecules 1984, 17, 2896. Khokhlov, A. R. Makromol. Chem., Rapid Commun. 1981, 2, 633.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 253
    • Bernard, D.A.1    Noolandi, J.2
  • 20
    • 4243802263 scopus 로고
    • Bernard, D. A.; Noolandi, J. Phys. Rev. Lett. 1983, 50, 253. Noolandi, J.; Hong, K. M.; Bernard, D. A. Macromolecules 1984, 17, 2896. Khokhlov, A. R. Makromol. Chem., Rapid Commun. 1981, 2, 633.
    • (1984) Macromolecules , vol.17 , pp. 2896
    • Noolandi, J.1    Hong, K.M.2    Bernard, D.A.3
  • 21
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    • Bernard, D. A.; Noolandi, J. Phys. Rev. Lett. 1983, 50, 253. Noolandi, J.; Hong, K. M.; Bernard, D. A. Macromolecules 1984, 17, 2896. Khokhlov, A. R. Makromol. Chem., Rapid Commun. 1981, 2, 633.
    • (1981) Makromol. Chem., Rapid Commun. , vol.2 , pp. 633
    • Khokhlov, A.R.1
  • 23
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    • Friedman, B.; O'Shaughnessy, B. Macromolecules 1993, 26, 4888, 5726. O'Shaughnessy, B. Phys. Rev. Lett. 1993, 71, 3331.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3331
    • O'Shaughnessy, B.1
  • 24
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    • A comment regarding the role of flow on diffusion-controlled reactions in polymers was made some years ago by de Gennes (de Gennes, P. G. Radiation Physics Chemistry 1983, 22, 193), but this line of research was apparently never pursued.
    • (1983) Radiation Physics Chemistry , vol.22 , pp. 193
    • De Gennes, P.G.1
  • 29
    • 85033851552 scopus 로고    scopus 로고
    • note
    • 15 while the reactive sites are microscopic (i.e. of order of the monomer size).
  • 33
    • 85033842094 scopus 로고    scopus 로고
    • note
    • 0 → ∞ at the start of our calculations. We believe our coefficient to be considerably more accurate for the problem at hand, although their formalism offers greater flexibility in treating more general situations.
  • 35
    • 85033847486 scopus 로고    scopus 로고
    • note
    • -3/2 is predicated on d(t) being a Gaussian random variable. This is not strictly the case for the reptation model, so the overall numerical prefactors derived for the reptation model should be viewed with some skepticism. Nevertheless, the scaling behavior with the Deborah number is unaffected.


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