Some principal problems in statistical mechanics of networks and their relationship to other topics in physics and materials science

  • T. A. Vilgis
Comment: Networks and Theory
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 75)


This paper discusses some ideas in the theory of rubber elasticity from an unusual but ‘natural’ view. The theory of rubber elasticity is embedded m the general physics of condensed matter. Rubbers are systems with quenched disorder.

Key words

Rubber elasticity statistical mechanics quenched disorder materials science 


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  1. 1.
    Kuhn W, Grün F (1942) Kolloid Z 101:248CrossRefGoogle Scholar
  2. 2.
    Treloar LRG (ed) (1975) The Physics of Rubber Elasticity, Clarendon Press, OxfordGoogle Scholar
  3. 3.
    Flory PI (ed) (1959) Principles in Polymer Chemistry, Cornell University Press, IthacaGoogle Scholar
  4. 4.
    James HM, Guth E (1943) J Chem Phys 11:455CrossRefGoogle Scholar
  5. 5.
    Edwards SF (1971) In: Chrompft A, Newman S (eds) Polymer Networks, Plenum Press, New YorkGoogle Scholar
  6. 6.
    Deam RT, Edwards SF (1976) Phil Trans R Soc 11:317Google Scholar
  7. 7.
    Ball RC, Edwards SF (1980) Macromolecules 13:748CrossRefGoogle Scholar
  8. 8.
    Edwards SF, Goodyear AJ (1972) J Phys A5:965Google Scholar
  9. 9.
    Edwards SF, Anderson PW (1975) J Phys F7:965CrossRefGoogle Scholar
  10. 10.
    Binder K, Young AP, Rev Mod PhysGoogle Scholar
  11. 11.
    Sherrington D, Kirkpatrick S (1975) Phys Rev Lett 35:1972CrossRefGoogle Scholar
  12. 12.
    de Almeida JRO, Thouless D (1978) J Phys A11:983Google Scholar
  13. 13.
    Parisi G (1983) Phys Rev Lett 50:1946CrossRefGoogle Scholar
  14. 14.
    van Hemmen L, Morgenstern I (eds) (1983) Heidelberg Colloquium on Spin Glasses, Springer Verlag, HeidelbergGoogle Scholar
  15. 15.
    Mézard M, Parisi G (1986) J Phys, Paris 47:1285Google Scholar
  16. 16.
    Hopfield JJ (1982) Proc Natl Acad Sci USA 79:2554CrossRefGoogle Scholar
  17. 17.
    Menduina C, Freire JJ, Llorente MA, Vilgis TA (1986) Macromolecules 19:1212CrossRefGoogle Scholar
  18. 18.
    Winter HH, this issue [23]Google Scholar
  19. 19.
    Stauffer D, Adam M, Delsanti M (1982) Adv Polym Sci 78:103CrossRefGoogle Scholar
  20. 20.
    Mandelbrot BB (ed) (1982) The Fractal Geometry of Nature, Freeman, San FranciscoGoogle Scholar
  21. 21.
    Vilgis TA (1987) this volumeGoogle Scholar
  22. 22.
    Herrmann HJ (1986) Phys Rep 136:153CrossRefGoogle Scholar
  23. 23.
    Vilgis TA, Winter HH (1987) to be publishedGoogle Scholar
  24. 24.
    de Gennes PG (ed) (1979) Scaling Concepts in Polymer Physics, Cornell University Press, IthacaGoogle Scholar
  25. 25.
    Stanley HE, Ostrovsky N (eds) (1986) Growth and Form, D Reidel Publ, AmsterdamGoogle Scholar
  26. 26.
    Ezguerra TA, Mohammadi M, Kremer F, Vilgis TA, Wegner G (1987) J Phys C, Solid State, acceptedGoogle Scholar
  27. 27.
    Mark J (1985) Acc Chem Res 18:202CrossRefGoogle Scholar
  28. 28.
    Holl B, this issueGoogle Scholar
  29. 29.
    Goldbart P, Goldenfeld N (1987) Phys Rev Lett 58:2676CrossRefGoogle Scholar
  30. 30.
    Ilavsky (1987) this issueGoogle Scholar
  31. 31.
    Boué F (1987) this issueGoogle Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag GmbH & Co. KG 1987

Authors and Affiliations

  • T. A. Vilgis
    • 1
  1. 1.Max-Planck-Institut für PolymerforschungMainzF.R.G.

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