Conformational free energy of melts of ring-linear polymer blends

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 4, 2009, Pages

  Subramanian, Gopinath ^a   Shanbhag, Sachin ^b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOND FLUCTUATION MODEL; CLOSED FORM; CONFORMATIONAL FREE ENERGY; FUNCTIONAL FORMS; LINEAR POLYMERS; MEAN-FIELD; RING POLYMERS; SCALING RELATIONSHIPS; TOTAL FREE ENERGY;

FREE ENERGY; POLYMER BLENDS; POLYMER MELTS; POLYMERS;

FUNCTIONAL POLYMERS;

EID: 70449090240     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041806     Document Type: Article

References (43)

1. J. A. Semlyen, Cyclic Polymers, 2nd ed. (Springer, Dordrecht, 2000).
2. H.-X. Zhou, J. Mol. Biol. 332, 257 (2003). 10.1016/S0022-2836(03)00886-6
3. H.-X. Zhou, J. Am. Chem. Soc. 125, 9280 (2003). 10.1021/ja0355978
4. W. Carl, J. Chem. Soc., Faraday Trans. 91, 2525 (1995). 10.1039/ft9959102525
5. A. J. Spakowitz, EPL 73, 684 (2006). 10.1209/epl/i2005-10447-9
6. J. Roovers, Macromolecules 18, 1359 (1985). 10.1021/ma00148a059
7. M. E. Cates and J. M. Deutsch, J. Phys. (Paris) 47, 2121 (1986). 10.1051/jphys:0198600470120212100
8. G. B. McKenna, G. Hadziioannou, P. Lutz, G. Hild, C. Strazielle, C. Straupe, P. Rempp, and A. J. Kovacs, Macromolecules 20, 498 (1987). 10.1021/ma00169a007
9. G. Subramanian and S. Shanbhag, Phys. Rev. E 77, 011801 (2008). 10.1103/PhysRevE.77.011801
10. S. J. Spengler, A. Stasiak, and N. R. Cozzarelli, Cell 42, 325 (1985). 10.1016/S0092-8674(85)80128-8
11. D. W. Sumners, Notices of the AMS 42, 528 (1995).
12. A. V. Vologodskii, N. J. Crisona, B. Laurie, P. Pieranski, V. Katritch, J. Dubochet, and A. Stasiak, J. Mol. Biol. 278, 1 (1998). 10.1006/jmbi.1998.1696
13. G. B. McKenna and D. J. Plazek, Polym. Commun. 27, 304 (1986).
14. B. V. S. Iyer, A. K. Lele, and S. Shanbhag, Macromolecules 40, 5995 (2007). 10.1021/ma0709295
15. D. Kawaguchi, K. Masuoka, A. Takano, K. Tanaka, T. Nagamura, N. Torikai, R. M. Dalgliesh, S. Langridge, and Y. Matsushita, Macromolecules 39, 5180 (2006). 10.1021/ma060652t
16. G. Subramanian and S. Shanbhag, Macromolecules 41, 7239 (2008). 10.1021/ma801232j
17. R. M. Robertson and D. E. Smith, Macromolecules 40, 3373 (2007). 10.1021/ma070051h
18. M. Kapnistos, M. Lang, D. Vlassopoulos, W. Pyckhout-Hintzen, D. Richter, D. Cho, T. Chang, and M. Rubinstein, Nature Mater. 7, 997 (2008). 10.1038/nmat2292
19. S. Geyler and T. Pakula, Makromol. Chem., Rapid Commun. 9, 617 (1988). 10.1002/marc.1988.030090904
20. M. Müller, J. P. Wittmer, and M. E. Cates, Phys. Rev. E 53, 5063 (1996). 10.1103/PhysRevE.53.5063
21. S. Brown and G. Szamel, J. Chem. Phys. 108, 4705 (1998). 10.1063/1.475927
22. V. Arrighi, S. Gagliardi, A. C. Dagger, J. A. Semlyen, J. S. Higgins, and M. J. Shenton, Macromolecules 37, 8057 (2004). 10.1021/ma049565w
23. J. Suzuki, A. Takano, and Y. Matsushita, J. Chem. Phys. 129, 034903 (2008). 10.1063/1.2954018
24. M. Müller, J. P. Wittmer, and M. E. Cates, Phys. Rev. E 61, 4078 (2000). 10.1103/PhysRevE.61.4078
25. T. Vettorel, A. Y. Grosberg, and K. Kremer, Phys. Biol. 6, 025013 (2009). 10.1088/1478-3975/6/2/025013
26. S. P. Obukhov, M. Rubinstein, and T. Duke, Phys. Rev. Lett. 73, 1263 (1994). 10.1103/PhysRevLett.73.1263
27. A. Takano, Polym. Prepr. Jpn 56, 2424 (2007).
28. J. S. Shaffer, J. Chem. Phys. 101, 4205 (1994). 10.1063/1.467470
29. I. Carmesin and K. Kremer, Macromolecules 21, 2819 (1988). 10.1021/ma00187a030
30. G. Subramanian and S. Shanbhag, J. Chem. Phys. 129, 144904 (2008). 10.1063/1.2992047
31. R. Everaers, S. K. Sukumaran, G. S. Grest, C. Svaneborg, A. Sivasubramanian, and K. Kremer, Science 303, 823 (2004). 10.1126/science.1091215
32. S. Shanbhag and R. G. Larson, Phys. Rev. Lett. 94, 076001 (2005). 10.1103/PhysRevLett.94.076001
33. V. F. R. Jones, A Polynomial Invariant for Knots via von Neumann Algebras, Fields Medallists' Lectures (World Scientific, Singapore, 1997).
34. C. C. Adams, The Knot Book (American Mathematical Society, Providence, 2004).
35. S. Shanbhag and M. Kroger, Macromolecules 40, 2897 (2007). 10.1021/ma062457k
36. J. S. Shaffer, J. Chem. Phys. 103, 761 (1995). 10.1063/1.470108
37. C. F. Gauss, Werke: Königliche Gesellschaft der Wissenschaften (Teubner, Göttingen, 1833).
38. D. Frenkel and B. Smit, Understanding Molecular Simulation: From Algorithms to Applications, 2nd ed. (Academic Press, Orlando, FL, 2002).
39. R. C. Lua, A. L. Borovinskiy, and A. Y. Grosberg, Polymer 45, 717 (2004). 10.1016/j.polymer.2003.10.073
40. R. C. Lua (private communication).
41. J. H. C. Whitehead, The Mathematical Works of J. H. C. Whitehead (Pergamon Press, New York, 1963).
42. T. Minato and A. Hatano, J. Phys. Soc. Jpn. 42, 1992 (1977). 10.1143/JPSJ.42.1992
43. S. Brown, T. Lenczycki, and G. Szamel, Phys. Rev. E 63, 052801 (2001). 10.1103/PhysRevE.63.052801