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Terminally attached polymer chains

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 38)

Abstract

Polymer chains which are partially attached to a surface occur in a number of applications, such as colloidal stabilization (paint, ink), adhesion promoters (glue, “Scotch tape”), adhesion preventors (mold release agents, i.e., agents which prevent a casting from sticking to the mold), lubrication, and biocompatability of artificial implants. The effectiveness of the surface, which may be evaluated, for instance, by the stability of the colloid or the strength of the joint, depends on properties of the polymer layer, such as the thickness and segment density distribution; these, in turn, depend on the shape (or conformation) of the polymer chains. One important class of partially attached polymers is that of polymers adsorbed or grafted onto a substrate at (precisely) one of their end points.

Keywords

Electron Spin Resonance Absorb Boundary Condition Scotch Tape Kuhn Segment Adhesion Preventors 
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]
    R.C. Ball, J.F. Marko, S.T. Milner and T.A. Witten, Polymers grafted to a convex surface, to appear.Google Scholar
  2. [2]
    S.S. Patel and M. Tirrel, Measurement of forces between surfaces in polymer fluids, Annu. Rev. Phys. Chem., 40 (1989), 597–635.CrossRefGoogle Scholar
  3. [3]
    S.T. Milner, T.A. Witten and M.E. Cates, A parabolic density profile for grafted polymers, Europhys. Lett., 5 (1988), 413–418.CrossRefGoogle Scholar
  4. [4]
    S.T. Milner, T.A. Witten and M.E. Cates, Theory of the grafted polymer brush, Macromolecules 21 (1988), 2610–2619.CrossRefGoogle Scholar
  5. [5]
    T. Cosgrove, T.G. Heath, R. Ryan and T.L. Crowley, Neutron-scattering from adsorbed polymer layers, Macromolecules, 20 (1987), 2879–2882.CrossRefGoogle Scholar
  6. [6]
    S.T. Milner, Compressing polymer “brushness”: a quantitative comparison theory and experiments, Europhys. Lett., 7 (1988), 695–699.CrossRefGoogle Scholar
  7. [7]
    S. Patel, M. Tirrel and G. Hadziioannou, A simple model for forces between surfaces bearing grafted polymers applied to data adsorbed block copolymers, Colloids Surf, 31 (1988), 157–176.CrossRefGoogle Scholar
  8. [8]
    S.F. Edwards, The statistical mechanics of polymers with excluded volume, Proc. Phys. Soc. London, 85 (1965), 613–624.MATHCrossRefGoogle Scholar
  9. [9]
    A. Dolan and S.F. Edwards, Theory of the stabilization of colloids by adsorbed polymer, Proc. Royal Soc. London, A. 337 (1974), 509–516.CrossRefGoogle Scholar
  10. [10]
    A. Dolan and S.F. Edwards, The effect of excluded volume on polymer dispersant action, Proc. Royal Soc. London, A., 343 (1975), 427–442.CrossRefGoogle Scholar
  11. [11]
    P.-G. Gennes, Some conformation problems for long macromolecules, Rep. Prog. Phys., 32 (1969), 187–205.CrossRefGoogle Scholar
  12. [12]
    M. Muthukumar and J.S. Ho, Self-consistent theory of surfaces with terminally attached chains, Macromolecules, 22 (1989), 965–973.CrossRefGoogle Scholar
  13. [13]
    S.S. Patel, Self-consistent field theory of terminally attached polymers: Dolan-Edwards revisited, submitted to Macromolecules.Google Scholar
  14. [14]
    T.A. Witten, L. Leibler and P.A. Pincus, Stress relaxation in the lamellar copolymer mesophase, Macromolecules, 23 (1990), 824–829CrossRefGoogle Scholar
  15. [15]
    H.J. Ploehn and W.B. Russel, Interaction between colloidal particles and soluble polymer, submitted to Advances in Chemical Engineering.Google Scholar
  16. [16]
    X. Chen and A. Friedman, A nonlocal diffusion equation arising in terminally attached polymer chains, European J. Appl. Math., 1 (1990), 311–326.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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