Orientation and motion at a polymer-polymer interface: Interdiffusion of fluorescent-labelled macromolecules

  • Matthew Tirrell
  • Douglas Adolf
  • Stephen Prager
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1063)


The general problem of polymer-polymer interdiffusion is studied and used to illustrate several unique aspects of the orientation and motion of macromolecules at interfaces. Specific new results are obtained for the short time evolution of the interfacial concentration profile which is shown, following the reptation model, to follow a nonclassical power law, namely, for short times \(\int\limits_{ - \infty }^\infty {C(z,t)dz \sim t^{3/4} }\), instead of the usual t1/2 law. A fluorescence experiment to measure this behavior is analyzed.


Interfacial Diffusion Short Time Evolution Gaussian Chain Polymer Diffusion Original Tube 
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  1. 1.
    P.G. de Gennes, C.R. Acad. Sci. (Paris), B291, 219 (1980).Google Scholar
  2. 2.
    P.G. de Gennes and L. Leger, Adv. in Phys. Chem. 33, 49 (1982).Google Scholar
  3. 3.
    P.G. de Gennes, Proc. Paris Conf. on Adhesion and Lubrication, C. Troyanovski, ed., Elsevier, Amsterdam (1982).Google Scholar
  4. 4.
    K. Jud, H.H. Kausch and J.G. Williams, J. Mater. Sci., 16, 204 (1981).CrossRefGoogle Scholar
  5. 5.
    R.P. Wool and K.M. O’Connor, J. Appl. Phys., 52, 5953 (1981).CrossRefGoogle Scholar
  6. 6.
    Y.W. Kim and R.P. Wool, Macromolecules, 16, 1115 (1983).CrossRefGoogle Scholar
  7. 7.
    S. Prager and M. Tirrell, J. Chem. Phys., 75, 5194 (1981).CrossRefGoogle Scholar
  8. 8.
    S. Prager, D. Adolf and M. Tirrell, J. Chem. Phys., 78, 7015 (1983).CrossRefGoogle Scholar
  9. 9.
    D. Adolf, Macromolecules, 16, submitted (1983).Google Scholar
  10. 10.
    J. Israelachvili, M. Tirrell, J. Klein and Y. Almog, Macromolecules, 16, in press (1983).Google Scholar
  11. 11.
    L. Monnerie, ESPCI, Paris, private communication.Google Scholar
  12. 12.
    J.B. Birks, Photophysics of Aromatic Molecules, Wiley-Interscience, NY, 1970.Google Scholar
  13. 13.
    P.G. de Gennes, J. Chem. Phys., 55, 572 (1971).CrossRefGoogle Scholar
  14. 14.
    I.S. Jones and P. Richmond, J. Chem. Soc., Faraday II, 73, 1062 (1977).CrossRefGoogle Scholar
  15. 15.
    A. Silberberg, J. Colloid Interface Sci., 90, 86 (1982).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Matthew Tirrell
    • 1
  • Douglas Adolf
    • 1
  • Stephen Prager
    • 2
  1. 1.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolis
  2. 2.Department of ChemistryUniversity of MinnesotaMinneapolis

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