Detailed balance condition and effective free energy in the primitive chain network model

Journal of Chemical Physics

Volumn 135, Issue 18, 2011, Pages

  Uneyama, Takashi ^a   Masubuchi, Yuichi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAIN NETWORKS; DETAILED BALANCE; DIRECT INTERACTIONS; DYNAMIC EQUATIONS; ENTANGLED POLYMERS; GAUSSIAN CHAINS; LANGEVIN EQUATION; REPULSIVE INTERACTION ENERGY; SINGLE CHAINS; STATISTICAL PROPERTIES;

DIFFERENTIAL EQUATIONS; DISTRIBUTION FUNCTIONS; MECHANICAL PROPERTIES;

FREE ENERGY;

EID: 81155128019     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3658775     Document Type: Article

References (31)

1. Y. Masubuchi, J. Takimoto, K. Koyama, G. Ianniruberto, F. Greco, and G. Marrucci, J. Chem. Phys. 115, 4387 (2001). 10.1063/1.1389858
2. Y. Masubuchi, G. Ianniruberto, F. Greco, and G. Marrucci, J. Non-Newtonian Fluid Mech. 149, 87 (2008). 10.1016/j.jnnfm.2007.02.014
3. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
4. Y. Masubuchi, G. Ianniruberto, F. Greco, and G. Marrucci, Rheol. Acta 46, 297 (2006). 10.1007/s00397-006-0112-4
5. Y. Masubuchi, T. Yaoita, Y. Matsumiya, and H. Watanabe, J. Chem. Phys. 134, 194905 (2011). 10.1063/1.3590276
6. Y. Masubuchi, H. Watanabe, G. Ianniruberto, F. Greco, and G. Marrucci, Macromolecules 41, 8275 (2008). 10.1021/ma800954q
7. R. Everaers, S. K. Sukumaran, G. S. Grest, C. Svaneborg, A. Sivasubramanian, and K. Kremer, Science 303, 823 (2004). 10.1126/science.1091215
8. M. Krger, Comput. Phys. Commun. 168, 209 (2005). 10.1016/j.cpc.2005.01. 020
9. C. Tzoumanekas and D. N. Theodorou, Macromolecules 39, 4592 (2006). 10.1021/ma0607057
10. Y. Masubuchi, T. Uneyama, H. Watanabe, G. Ianniruberto, F. Greco, and G. Marrucci, J. Chem. Phys. 132, 134902 (2010). 10.1063/1.3370346
11. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II (Springer, Heidelberg, 1991).
12. D. J. Evans and G. P. Morris, Statistical Mechanics of Nonequilibrium Liquids, 2nd ed. (Cambridge University Press, Cambridge, 2008).
13. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer, Berlin, 1989).
14. D. M. Nair and J. D. Schieber, Macromolecules 39, 3386 (2006). 10.1021/ma0519056
15. T. Uneyama, Nihon Reoroji Gakkaishi 39, 135 (2011). 10.1678/rheology.39. 135
16. T. Uneyama and K. Horio, J. Polym. Sci., Part B: Polym. Phys. 49, 966 (2011). 10.1002/polb.22267
17. T. Yaoita, T. Isaki, Y. Masubuchi, H. Watanabe, G. Ianniruberto, F. Greco, and G. Marrucci, J. Chem. Phys. 128, 154901 (2008). 10.1063/1.2899653
18. C. W. Gardiner, Handbook of Stochastic Methods, 3rd ed. (Springer, Berlin, 2004).
19. K. Kawasaki, J. Phys. A 6, 1289 (1973). 10.1088/0305-4470/6/9/004
20. K. Sekimoto, Stochastic Energetics, Lecture Notes in Physics Vol. 799 (Springer, Berlin, 2010).
21. P. Kindt and W. J. Briels, J. Chem. Phys. 127, 124901 (2007). 10.1063/1.2780151
22. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems (Oxford University Press, Oxford, 1994).
23. H. C. ttinger, Phys. Rev. E 57, 1416 (1998). 10.1103/PhysRevE.57.1416
24. J. D. Schieber, J. Chem. Phys. 118, 5162 (2003). 10.1063/1.1553764
25. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 10th ed., edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1972).
26. E. W. Weisstein, Mittag-Leffler Function From MathWorld - A Wolfram Web Resource; see http://mathworld.wolfram.com/Mittag-LefflerFunction.html.
27. S. Okuda, Y. Inoue, Y. Masubuchi, T. Uneyama, and M. Hojo, Soft-core interaction between entanglement segments for primitive chain network simulations, Rheol. Acta (submitted).
28. D. S. Dean, J. Phys. A 29, L613 (1996). 10.1088/0305-4470/29/24/001
29. T. Uneyama, J. Chem. Phys. 126, 114902 (2007). 10.1063/1.2463426
30. F. Greco, Eur. Phys. J. E 25, 175 (2008). 10.1140/epje/i2007-10278-0
31. M. Doi and J. Takimoto, Philos. Trans. R. Soc. London, Ser. A 361, 641 (2003). 10.1098/rsta.2002.1168