Ordering Kinetics in Quasi-One-Dimensional Systems and Polymer Melts

  • K. Kawasaki
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 27)

Abstract

Existence of the two universality classes in quasi-one dimensional ordering kinetics of layered Ising-like magnets is demonstrated. In polymer melts, loops of correlated reptating chains are found to be important for moarphology dynamics We also argue for apparent violation of the monomer density conservation law in polymer blends.

Keywords

Anisotropy Hexagonal Macromolecule Suffix Incompressibility 

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References

  1. 1.
    The field was reviewed, for instance in J.D. Gunton, M. San Miguel and P.S. Sahni, In Phase Transitions and Critical Phenomena, vol.8, ed. by C. Domb and J.L. Lebowitz, (Academic Press, New York, 1983).Google Scholar
  2. 1a.
    K. Binder and D.W. Heermann, In Scaling Phenomena in Disordered Systems, ed. by R. Pynn and A. Skjeltorp (Plenum, New York, 1985).Google Scholar
  3. 1b.
    H. Furukawa, Advances in Phys. 34, 703 (1985)ADSCrossRefGoogle Scholar
  4. 2.
    H.L. Snyder, P. Meakin and S. Reich, Macromolecules 16 757 (1983)ADSCrossRefGoogle Scholar
  5. 3.
    T. Hashimoto, J. Kumaki and H. Kawai, Macromolecules 16 641 (1983)ADSCrossRefGoogle Scholar
  6. 4.
    K. Kawasaki and T. Ohta, Physica l18A, 175 (1983)CrossRefGoogle Scholar
  7. 4a.
    K. Kawasaki, Ann. Phys. (N.Y.) l54, 319 (1984),MathSciNetADSCrossRefGoogle Scholar
  8. 5.
    H. Ikeda, J. Phys. C: Solid StaPhys. 16, 3563 (1983)ADSCrossRefGoogle Scholar
  9. 5a.
    ibid 19 L535 (1986)Google Scholar
  10. 6.
    J. Villain, Physica B79, 1 (1975)Google Scholar
  11. 7.
    S.M. Allen and J.W. Cahn, Acta Metal1. 27, 1085 (1979)CrossRefGoogle Scholar
  12. 8.
    T. Nagai and K. Kawasaki, Physica l20A, 587 (1983)CrossRefGoogle Scholar
  13. 8a.
    K. Kawasaki and T. Nagai, Physica l21A, 175 (1983)CrossRefGoogle Scholar
  14. 8b.
    K. Kawasaki, In Computer Analysis Life Science, ed. by C. Kawabata and A.R. Bishop (Ohmsha, Tokyo, 1986)Google Scholar
  15. 9.
    K. Kawasaki and T. Nagai, J. Phys. C: Solid State Phys. 19 L55l (1986)CrossRefGoogle Scholar
  16. 10.
    Reference /2,3/ and also:Google Scholar
  17. 10a.
    H.L. Snyder, P. Meakin, J. Chem. Phys. 79, 5588 (1983)ADSCrossRefGoogle Scholar
  18. 10b.
    T. Hashimoto, M. Itakura and N. Shimidzu, J. Chem. Phys. 85, 677 (1986)Google Scholar
  19. 11.
    I. Goodman, ed. Developments in Block Copolymers 1 (Applied Science Publishers, London, 1982)Google Scholar
  20. 12.
    K. Kawasaki and K. Sekimoto, Physica A (in press), Europhys Lett. (in press) and a paper in preparationGoogle Scholar
  21. 13.
    L. Leibler, Macromolecules 13, 1602 (1980)ADSCrossRefGoogle Scholar
  22. 13a.
    T. Ohta and K. Kawasaki, Macromolecules 19, 2621 (1986)ADSCrossRefGoogle Scholar
  23. 14.
    P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979)Google Scholar
  24. 15.
    M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986)Google Scholar
  25. 16.
    P.G. de Gennes, J. Chem, Phys. 72, 4756 (1980)MathSciNetADSMATHCrossRefGoogle Scholar
  26. 16a.
    P. Pincus, J. Chem. Phys. 75, 1996 (1981)ADSCrossRefGoogle Scholar
  27. 16b.
    K. Binder, J. Chem. Phys. 79, 6387 (1983)ADSCrossRefGoogle Scholar
  28. 17.
    G.W. Slater and J. Noolandi, Phys. Rev. Lett. 22, 1579 (1985)ADSCrossRefGoogle Scholar
  29. 18.
    T. Pakula, Macromolecules 20., 679 (1987).ADSCrossRefGoogle Scholar
  30. 19.
    Reference 111 and alsoGoogle Scholar
  31. 19a.
    J.W. Cahn and S.M. Allen, J. de Physique, Colloque 7(C), 54 (1977)Google Scholar
  32. 20.
    T. Izumitani, M. Takenaka and T. Hashimoto, Polym. Prepr. Jpn. 35, 2974, 2978 (1986)Google Scholar
  33. 21.
    T. Hashimoto, Macromolecules 20, 465 (1987)ADSCrossRefGoogle Scholar
  34. 21a.
    G.H. Frederickson, J. Chem. Phys. 85, 5306 (1986)ADSCrossRefGoogle Scholar
  35. 21b.
    A. Onuki, RIFP preprint (1987)Google Scholar
  36. 22.
    E. Helfand and Z.R. Wasserman, in /ll/Google Scholar
  37. 23.
    F.S. Bates, Macromolecules 17, 2607 (1984)ADSCrossRefGoogle Scholar
  38. 23a.
    A. Onuki, a talk at RIEP research meeting (1987)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • K. Kawasaki
    • 1
  1. 1.Department of Physics, Faculty of ScienceKyushu University 33Fukuoka 812Japan

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