Topological constraint in ring polymers under theta conditions studied by Monte Carlo simulation

Journal of Chemical Physics

Volumn 138, Issue 2, 2013, Pages

  Suzuki, Jiro ^a,b   Takano, Atsushi ^c   Matsushita, Yushu ^c  

^a HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^b J PARC CENTER   (Japan)

^c NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ATTRACTIVE FORCE; CRITICAL EXPONENT; EQUILIBRIUM CONFORMATION; EXCLUDED VOLUME; FACE-CENTERED CUBIC LATTICES; GAUSSIAN CHAINS; KNOTTED RING POLYMERS; LINEAR CHAIN; LINEAR POLYMERS; MONTE CARLO SIMULATION; POLYMER CHAINS; POLYMER SEGMENTS; RADIUS OF GYRATION; RING POLYMERS; RING TOPOLOGY; THETA CONDITION; TOPOLOGICAL CONSTRAINTS;

MONTE CARLO METHODS; TOPOLOGY;

POLYMERS;

EID: 84872698037     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4773822     Document Type: Article

References (45)

1. J. des Cloizeaux, Phys. Rev. A 10, 1665 (1974). 10.1103/PhysRevA.10.1665
2. E. J. J. van Rensburg, J. Phys. A: Math. Theor. 42, 323001 (2009). 10.1088/1751-8113/42/32/323001
3. T. Deguchi and K. Tsurusaki, Phys. Rev. E 55, 6245 (1997). 10.1103/PhysRevE.55.6245
4. M. K. Shimamura and T. Deguchi, Phys. Rev. E 65, 051802 (2002). 10.1103/PhysRevE.65.051802
5. H. Matsuda, A. Yao, H. Tsukahara, T. Deguchi, K. Furuta, and T. Inami, Phys. Rev. E 68, 011102 (2003). 10.1103/PhysRevE.68.011102
6. V. Katritch, J. Bednar, D. Michoud, R. G. Scharein, J. Dubochetand, and A. Stasiak, Nature (London) 384, 142 (1996). 10.1038/384142a0
7. M. E. Cates and J. M. Deutsch, J. Phys. (France) 47, 2121 (1986). 10.1051/jphys:0198600470120212100
8. M. Rubinstein, Phys. Rev. Lett. 57, 3023 (1986). 10.1103/PhysRevLett.57. 3023
9. K. Hur, R. G. Winkler, and D. Y. Yoon, Macromolecules 39, 3975 (2006). 10.1021/ma060274s
10. D. Ida, D. Nakatomi, and T. Yoshizaki, Polym. J. 42, 735 (2010). 10.1038/pj.2010.61
11. A. Dobay, J. Dubochet, K. Millett, P. E. Sottas, and A. Stasiak, Proc. Natl. Acad. Sci. U.S.A. 100, 5611 (2003). 10.1073/pnas.0330884100
12. J. Roovers and P. M. Toporowski, Macromolecules 16, 843 (1983). 10.1021/ma00240a002
13. J. Roovers, J. Polym. Sci., Polym. Phys. Ed. 23, 1117 (1985). 10.1002/pol.1985.180230604
14. G. B. McKenna, B. J. Hostetter, N. Hadjichristidis, L. J. Fetters, and D. J. Plazek, Macromolecules 22, 1834 (1989). 10.1021/ma00194a056
15. D. Cho, S. Park, K. Kwon, and T. Chan, Macromolecules 34, 7570 (2001). 10.1021/ma0108012
16. A. Takano, Y. Kushida, Y. Ohta, K. Masuoka, and Y. Matsushita, Polymer 50, 1300 (2009). 10.1016/j.polymer.2009.01.019
17. A. Takano, Y. Ohta, K. Masuoka, K. Matsubara, T. Nakano, A. Hieno, M. Itakura, K. Takahashi, S. Kinugasa, D. Kawaguchi, Y. Takahashi, and Y. Matsushita, Macromolecules 45, 369 (2012). 10.1021/ma202031w
18. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
19. P. G. de Gennes, J. Phys. (France) Lett. 46, 639 (1985). 10.1051/jphyslet:019850046014063900
20. P. E. Rouse Jr., J. Chem. Phys. 21, 1272 (1953). 10.1063/1.1699180
21. A. Yamamoto, M. Fujii, G. Tanaka, and H. Yamakawa, Polym. J. 2, 799 (1971). 10.1295/polymj.2.799
22. Y. Miyaki, Y. Einaga, and H. Fujita, Macromolecules 11, 1180 (1978). 10.1021/ma60066a022
23. M. Fukuda, M. Fukutomi, Y. Kato, and T. Hashimoto, J. Polym. Sci., Polym. Phys. Ed. 12, 871 (1974). 10.1002/pol.1974.180120503
24. Y. Matsushita, I. Noda, M. Nagasawa, T. P. Lodge, E. J. Amis, and C. C. Han, Macromolecules 17, 1785 (1984). 10.1021/ma00139a027
25. P. J. Flory, J. Chem. Phys. 17, 303 (1949). 10.1063/1.1747243
26. P. G. de Gennes, Phys. Lett. A 38, 339 (1972). 10.1016/0375-9601(72) 90149-1
27. F. T. Wall and J. J. Erpenbeck, J. Chem. Phys. 30, 634 (1959). 10.1063/1.1730021
28. C. Domb and F. T. Hioe, J. Chem. Phys. 51, 1915 (1969). 10.1063/1.1672277
29. J. L. Martin and M. G. Watts, J. Phys. A 4, 456 (1971). 10.1088/0305-4470/4/4/007
30. P. C. Jurs and J. E. Reissner, J. Chem. Phys. 55, 4948 (1971). 10.1063/1.1675604
31. A. Bellemans, Physica 68, 209 (1973). 10.1016/0031-8914(73)90144-4
32. J. M. Deutsch, Phys. Rev. E 59, R2539 (1999). 10.1103/PhysRevE.59.R2539
33. A. Y. Grosberg, Phys. Rev. Lett. 85, 3858 (2000). 10.1103/PhysRevLett.85. 3858
34. N. T. Moore and A. Y. Grosberg, Phys. Rev. E 72, 061803 (2005). 10.1103/PhysRevE.72.061803
35. H. Q. Sun, L. Zhang, and Q. Liao, J. Phys. Chem. B 114, 12293 (2010). 10.1021/jp1023179
36. K. Iwata, Macromolecules 18, 115 (1985). 10.1021/ma00143a018
37. F. Tanaka, J. Chem. Phys. 87, 4201 (1987). 10.1063/1.452924
38. J. Suzuki, A. Takano, and Y. Matsushita, J. Chem. Phys. 135, 204903 (2011). 10.1063/1.3663383
39. J. Suzuki, A. Takano, and Y. Matsushita, J. Chem. Phys. 129, 034903 (2008). 10.1063/1.2954018
40. T. Vettorel, S. Y. Reigh, D. Y. Yoon, and K. Kremer, Macromol. Rapid Commun. 30, 345 (2009). 10.1002/marc.200800627
41. T. Vettorel, A. Y. Grosberg, and K. Kremer, Phys. Biol. 6, 025013 (2009). 10.1088/1478-3975/6/2/025013
42. J. Suzuki, A. Takano, T. Deguchi, and Y. Matsushita, J. Chem. Phys. 131, 144902 (2009). 10.1063/1.3247190
43. J. D. Halverson, W. B. Lee, G. S. Grest, A. Y. Grosberg, and K. Kremer, J. Chem. Phys. 134, 204904 (2011). 10.1063/1.3587137
44. J. D. Halverson, W. B. Lee, G. S. Grest, A. Y. Grosberg, and K. Kremer, J. Chem. Phys. 134, 204905 (2011). 10.1063/1.3587138
45. T. Sakaue, Phys. Rev. Lett. 106, 167802 (2011). 10.1103/PhysRevLett.106. 167802