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Gelation and Associating Polymers

  • M. E. Cates
Part of the NATO ASI Series book series (NSSB, volume 211)

Abstract

The static theories of equilibrium gelation (percolation theory) and vulcanization (Flory-Stockmayer theory) are well known. But many of the interesting experiments on polymer sols and gels concern dynamics (e.g., viscoelasticity), which are less universal and more difficult to describe theoretically than static properties. The dynamical response of a polymer sol near its gel-point obviously depends on whether (i) the reaction process has been quenched, or (ii) reversible exchange between one sol-molecule and another is taking place. For associating polymer systems, such as solutions of ionomers close to the overlap threshold, case (ii) is of interest. However, if the rates of exchange are not too large, clusters can move a certain amount before losing their identity: at short time-scales the system is effectively quenched. This means that case (i) must be understood first. Some old and some new ideas concerning the quenched problem are reviewed below, followed by a few comments on future prospects for understanding case (ii).

Keywords

Fractal Dimension Longe Relaxation Time Exclude Volume Interaction Rouse Model Entanglement Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    D. Stauffer, A. Coniglio, M. Adam, Adv. Polym. Sei. 44:103 (1982).CrossRefGoogle Scholar
  2. 2.
    D. Stauffer,Introduction to Percolation Theory Taylor and Francis, London (1985).CrossRefGoogle Scholar
  3. 3.
    H. Hermann, Phys. Reports 136:153 (1986).CrossRefGoogle Scholar
  4. 4.
    G. Broze, R. Jerome, P. Teyssie, Macromolecules 14:224 (1981); ibid. 15:920,1305 (1982); 16:996 (1983).Google Scholar
  5. 5.
    P. G. de Gennes,Scaling Concepts in Polymer Physics Cornell, Ithaca (1979).Google Scholar
  6. 6.
    M. Rubinstein, S. Zurek, T. C. B. McLeish, R. C. Ball, to be published.Google Scholar
  7. 7.
    Y. Kantor, G. Hassold, Phys. Rev. Lett. 60:1457 (1988).CrossRefGoogle Scholar
  8. 8.
    F. Schosseler, L. Leibler, Macromolecules 18:398 (1985).CrossRefGoogle Scholar
  9. 9.
    M. Rubinstein R. H. Colby, J. R. Gillmor, to be published.Google Scholar
  10. 10.
    D. Durand, M. Delsanti, M. Adam, J. M. Luck, Europhys. Lett. 3:297 (1987).CrossRefGoogle Scholar
  11. 11.
    S. Alexander, R. Orbach, J. Phys. (Paris) Lett. 43:L625 (1982)Google Scholar
  12. 12.
    M. E. Cates, Phys. Rev. Lett. 53:926 (1984); ibid. 55:131C (1985).CrossRefGoogle Scholar
  13. 13.
    M. E. Cates, J. Phys. (Paris) 46:1059 (1985).CrossRefGoogle Scholar
  14. 14.
    M. E. Cates, J. Phys. (Paris) Lett. 46:L837 (1985).Google Scholar
  15. 15.
    M. Doi, S. F. Edwards,The Theory of Polymer Dynamics Clarendon, Oxford (1986).Google Scholar
  16. 16.
    D. Sievers, J. Phys. (Paris) Lett. 41.L535 (1980).Google Scholar
  17. 17.
    P. G. de Gennes, J. Phys. (Paris) Lett. 40:L197 (1979).Google Scholar
  18. 18.
    M. Daoud, J. Phys. A 21.L237 (1988).CrossRefGoogle Scholar
  19. 19.
    J. E. Martin, J. P. Wilcoxon, Phys. Rev. Lett. 61:373 (1988).CrossRefGoogle Scholar
  20. 20.
    H. H. Winter, F. Chambon, J. Rheol. 31:683 (1987).CrossRefGoogle Scholar
  21. 21.
    T. C. B. McLeish, Europhys. Lett. 6:511 (1988); Macromolecules 21:1062 (1988).Google Scholar
  22. 22.
    T. C. B. McLeish, R. C. Ball, Macromolecules 22:1911 (1989).CrossRefGoogle Scholar
  23. 23.
    A. Coniglio, Phys. Rev. Lett. 46:250 (1981); J. Phys. A 15:3824 (1982).CrossRefGoogle Scholar
  24. 24.
    G. Faivre, J. L. Gardissat, Macromolecules 19:1988 (1986).CrossRefGoogle Scholar
  25. 25.
    T. A. Witten, J. Phys. (Paris) 49:1055 (1988).CrossRefGoogle Scholar
  26. 26.
    M. E. Cates, Macromolecules 20: 2289 (1987); J. Phys. (Paris) 49:1593 (1988).CrossRefGoogle Scholar
  27. 27.
    M. E. Cates, T. C. B. McLeish, M. Rubinstein, to be published.Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • M. E. Cates
    • 1
  1. 1.Cavendish LaboratoryCambridgeUK

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