Scaling in Polymer Physics

  • R. C. Ball


Scaling ideas form a central part of our understanding of the behaviour of long, chain-like, flexible macromolecules. As the chain length or molecular weight M becomes sufficiently large, chemically different polymers exhibit universal enhancement of various molecular properties, e.g. coil dimensions and relaxation times. It is the enhanced properties that make polymers such important practical materials — the viscosity of an oil, the elasticity of a rubber, the setting of gels, the stabilization of suspensions, the toughness of ‘plastics’ and many more. There is, for certain properties at least, an underlying thermodynamic critical point, via an analogy where the conventional role of T-Tc is played by 1/M. It is explicitly the incidence of high molecular weight that corresponds to critical and scaling behaviour and not a narrow range of parameters.


Polymer Coil Blob Size Coil Dimension Gaussian Coil Monomeric Friction 
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  1. de Gennes PG ‘Scaling Concepts in Polymer Physics’, Cornell 1979.Google Scholar
  2. Ferry JD ‘Viscoelastic Properties of Polymers’, 2nd Edn, Wiley 1970.Google Scholar
  3. Flory PJ ‘Principles of Polymer Chemistry’, Cornell 1971.Google Scholar
  4. de Gennes PG, Phys. Lett. 38A, 339 (1972).Google Scholar
  5. Edwards SF, Proc Phys Soc (London) 88, 265 (1966).CrossRefGoogle Scholar
  6. des Cloizeaux J, J Phys (Paris) 36, 281 (1975).Google Scholar
  7. Cotton JP et al, Macromolecules 7, 863 (1974).CrossRefGoogle Scholar
  8. Daoud et al, Macromolecules 8, 804 (1975).CrossRefGoogle Scholar
  9. Ferry JD, Macromolecules 13, 1719 (1980).CrossRefGoogle Scholar
  10. Doi M and Edwards SF, J Chem Soc Far Trans II 74, 1789.Google Scholar
  11. Doi M and Edwards SF, J Chem Soc Far Trans II 74,1802.Google Scholar
  12. Doi M and Edwards SF, J Chem Soc Far Trans II 74,1818.Google Scholar
  13. Doi M and Edwards SF, J Chem Soc Far Trans II 74,1978.Google Scholar
  14. Klein J and Briscoe B, Proc Roy Soc London A365, 53 (1979).Google Scholar
  15. Berry GC and Fox TG, Adv Pol Sci 5, 261 (1968).CrossRefGoogle Scholar
  16. Leger et al, Macromolecules, December 1981.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • R. C. Ball
    • 1
  1. 1.Cavendish LaboratoryCambridgeEngland

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