Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Ginzburg criterion for the mean-field to three-dimensional Ising crossover in polymer blends

D. Schwahn and T. Schmackers

K. Mortensen

  • Forschungszentrum Jülich GmbH, Institut für Festkörperforschung, D-52425 Jülich, Germany

  • Riso/ National Laboratory, DK-4000 Roskilde, Denmark

Phys. Rev. E 52, R1288(R) – Published 1 August, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.R1288

Abstract

Composition fluctuations within the mean-field and three-dimensional Ising range were measured in a homogeneous binary polymer blend by small angle neutron scattering as a function of temperature and pressure. The experimental data were analyzed in terms of the crossover function of Belyakov and Kiselev [Physica A 190, 75 (1992)]. It is shown that the reduced-crossover-temperature, the Ginzburg number Gi, decreases with pressure sensitively, in accordance with the prediction of Belyakov and Kiselev. On the other hand, de Gennes’ crossover criterion for polymer blends predicts an increase of Gi with pressure which contradicts our results.

References (14)

  1. V. L. Ginzburg, Sov. Phys. Sol. State 2, 1824 (1960).
  2. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell Univ. Press, Ithaca, 1979); , J. Phys. Lett. (Paris) 38, 441 (1977).
  3. D. Schwahn , K. Mortensen , and H. Yee Madeira Physical Review Letters 58, 1544 1987
  4. D. Schwahn, G. Meier, K. Mortensen and S. Janβen, J. Phys. II (France) 4, 837 (1994).
  5. D. Schwahn , H. Takeno , L. Willner , H. Hasegawa , H. Jinnai , T. Hashimoto , and M. Imai Physical Review Letters 73, 3427 1994
  6. J. Dudowicz, M. Lifschitz, K. F. Freed and J. F. Douglas, J. Chem. Phys. 99, 4804 (1993); M. Lifschitz, J. Dudowicz, K. Freed, ibid. 100, 3957 (1994).
  7. F. S. Bates , J. Rosedale , P. Stepanik , T. P. Lodge , P. Wiltzius , G. H. Fredrickson , and R. P. Hjelm Physical Review Letters 65, 1893 1990
  8. S. JanΒen , D. Schwahn , and T. Springer Physical Review Letters 68, 3180 1992
  9. M. Y. Belyakov and S. B. Kiselev, Physica A190, 75 (1992); M. A. Anisimov, S. B. Kiselev, J. V. Sengers and S. Tang, A188, 487 (1992); J. V. Sengers, in Supercritical Fluids, 231 271, edited by E. Kiran and J. M. H. Levelt Sengers (Kluwer Academic Publishers, Dordrecht, 1994), pp. 231 271.
  10. A. Sariban and K. Binder, J. Chem. Phys. 86, 5859 (1987); H. P. Deutsch and K. Binder, J. Phys. II (France) 3, 1049 (1993).
  11. S. Janβen, D. Schwahn, K. Mortensen and T. Springer, Macromolecules 26, 5587 (1993).
  12. G. Meier , D. Schwahn , K. Mortensen , and S. JanΒen Europhys. Lett. 22, 1452 1994
  13. D. Broseta , L. Leibler , and J. F. Joanny Physical Review Letters 73, 1452 1994
  14. D. Broseta, L. Leibler and J. F. Joanny, Macromolecules 20, 1935 (1987).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation