Entangled polymeric liquids: Nonstandard statistical thermodynamics of a subchain between entanglement points and a new calculation of the strain measure tensor

Macromolecules

Volumn 37, Issue 26, 2004, Pages 10079-10088

  Greco, Francesco ^a  

^a Ist Materiali Compositi e Biomedici   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; ENTROPY; MATHEMATICAL MODELS; MOLECULAR WEIGHT; OSCILLATIONS; STRAIN; VISCOSITY;

CONSTRAINT RELEASE AND RENEWAL (CRR); DYNAMIC MODELS; ENTANGLED POLYMERIC LIQUIDS; KUHN SEGMENTS;

STATISTICAL MECHANICS;

EID: 11444250710     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma048414q     Document Type: Article

References (38)

1. de Gennes, P. G. J. Chem. Phys. 1971, 55, 572-579.
2. Doi, M.; Edwards, S. F. J. Chem. Soc., Faraday Trans. 2 1978, 74, 1789-1801.
3. Doi, M.; Edwards, S. P. J. Chem. Soc., Faraday Trans. 2 1978, 74, 1802-1817.
4. Doi, M.; Edwards, S. P. J. Chem. Soc., Faraday Trans. 2 1978, 74, 1818-1832.
5. Doi, M.; Edwards, S. F. J. Chem. Soc., Faraday Trans. 2 1979, 75, 38-54.
6. Doi, M.; Edwards, S. F. The Theory of Polymer Dynamics; Clarendon, New York, 1986.
7. Doi, M. J. Polym. Sci., Polym. Lett. Ed. 1981, 19, 265-273.
8. Milner, S. T.; McLeish, T. C. B. Phys. Rev. Lett. 1998, 81, 725-728.
9. Marrucci, G.; Grizzuti, N. Gazz. Chim. Ital. 1988, 118, 179-185.
10. Pearson, D.; Herbolzheimer, E.; Grizzuti, N.; Marrucci, G. J. Polym. Sci.: Polym. Phys. 1991, 29, 1589-1597.
11. des Cloizeaux, J. EuroPhys. Lett. 1988, 5, 437-442.
12. Ianniruberto, G.; Marrucci, G. J. Non-Newtonian Fluid Mech. 1996, 65, 241-246.
13. Mead, D. W.; Larson, R. G.; Doi, M. Macromolecules 1998, 31, 7895-7914.
14. Öttinger, H. C. J. Non-Newtonian Fluid Mech. 2000, 89, 165-185.
15. Milner, S. T.; McLeish, T. C. B.; Likhtman, A. E. J. Rheol. 2001, 45, 539-563.
16. Fetters, L. J.; Lohse, D. J.; Richter, D.; Witten, T. A.; Zirkel, A. Macromolecules 1994, 27, 4639-4647. Fetters, L. J.; Lohse, D. J.; Milner, S. T.; Graessley, W. W. Macromolecules 1999, 32, 6847-6851.
17. Fetters, L. J.; Lohse, D. J.; Richter, D.; Witten, T. A.; Zirkel, A. Macromolecules 1994, 27, 4639-4647. Fetters, L. J.; Lohse, D. J.; Milner, S. T.; Graessley, W. W. Macromolecules 1999, 32, 6847-6851.
18. de Gennes, P. G. Scaling Concepts in Polymer Physics; Cornell: Ithaca, NY, 1979.
19. Landau, L. D.; Lifshitz, E. M. Statistical Physics; Pergamon: Oxford, England, 1988.
20. Hill, T. L. Thermodynamics of Small Systems; Benjamin, New York, 1964.
21. See, for example, the ACS journal Nano Lett.
22. In fact, "inner equilibration" of the chemical potential along the polymer chain was previously used, with the chemical potential gradient as the driving force for Kuhn segment exchanges through slip-links (Neergard, J.; Schieber, J. D. In Proceedings of the XIIIth International Congress on Rheology, Vol. II, Binding, D. M., Hudson, N. E., Mewis, J., Piau, J. M., Petrie, C. J. S., Townsend, P., Wagner, M. H., Walters, K., Eds.; Cambridge, U.K., 2000. Schieber, J. D.; Neergard, J.; Gupta, S. J. Rheol. 2003, 47, 213-233).
23. In fact, "inner equilibration" of the chemical potential along the polymer chain was previously used, with the chemical potential gradient as the driving force for Kuhn segment exchanges through slip-links (Neergard, J.; Schieber, J. D. In Proceedings of the XIIIth International Congress on Rheology, Vol. II, Binding, D. M., Hudson, N. E., Mewis, J., Piau, J. M., Petrie, C. J. S., Townsend, P., Wagner, M. H., Walters, K., Eds.; Cambridge, U.K., 2000. Schieber, J. D.; Neergard, J.; Gupta, S. J. Rheol. 2003, 47, 213-233).
24. Glatting, G.; Winkler, R. G.; Reineker, P. Macromolecules 1993, 26, 6085-6091.
25. Greco, F. Phys. Rev. Lett. 2002, 88, 108301/1-4.
26. Greco, F. J. Rheol. 2003, 47, 235-246.
27. Wagner, M. H.; Rubio, P.; Bastian, H. J. Rheol. 2001, 45,1387-1412.
28. Marrucci, G.; de Cindio, B. Rheol. Acta 1980, 19, 68-75. Marrucci, G.; Hermans, J. J. Macromolecules 1980, 23, 380-387.
29. Marrucci, G.; de Cindio, B. Rheol. Acta 1980, 19, 68-75. Marrucci, G.; Hermans, J. J. Macromolecules 1980, 23, 380-387.
30. Osaki, K. Rheol. Acta 1993, 32, 429-437.
31. Urakawa, O.; Takahashi, M.; Masuda, T.; Ebrahimi, N. G. Macromolecules 1995, 28, 7196-7201.
32. Larson, R. G.; Sridhar, T.; Leal, G. L.; McKinley, G. H.; Likhtman, A. E.; McLeish, T. C. B. J. Rheol. 2003, 47, 809-818.
33. Mark, J. E., Ed. Physical Properties of Polymers Handbook; AIP: New York, 1996.
34. Rubinstein, M.; Colby, R. H. Polymer Physics; OUP: Oxford, England, 2003.
35. Sanchez-Reyes, J.; Archer, L. A. Macromolecules 2002, 35, 5194-5202.
36. McLeish, T. C. B. In Rheology Reviews 2003; Binding, D. M.; Walters, K. Eds.; BSR: Aberystwyth, U.K., 2003.
37. Masubuchi, Y.; Takimoto, J. I.; Koyama, K.; Ianniruberto, G.; Marrucci, G.; Greco, F. J. Chem. Phys. 2001, 115, 4387-4394.
38. In a different context, this concept of "hidden entanglement appearance" has been proposed quite recently by Masubuchi et al. (Masubuchi, Y.; Watanabe, H.; Ianniruberto, G.; Greco, F.; Marrucci, G., to appear in J. Soc. Rheol. (Jpn.), 2004).