Exponents of intrachain correlation for self-avoiding walks and knotted self-avoiding polygons

Journal of Physics A: Mathematical and Theoretical

Volumn 46, Issue 34, 2013, Pages

  Uehara, Erica ^a   Deguchi, Tetsuo ^a  

^a OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84882308970     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/34/345001     Document Type: Article

References (48)

1. Krasnow M A, Stasiak A, Spengler S J, Dean F, Koller T and Cozzarelli N R 1983 Nature 304 559
2. Dean F B, Stasiak A, Koller T and Cozzarelli N R 1985 J. Biol. Chem. 260 4975
3. Bates A D and Maxwell A 2005 DNA Topology (Oxford: Oxford University Press)
4. Craik D J 2006 Science 311 1563
5. Bielawski C W, Benitez D and Grubbs R H 2002 Science 297 2041-4
6. Cho D, Masuoka K, Koguchi K, Asari T, Kawaguchi D, Takano A and Matsushita Y 2005 Polym. J. 37 506-11 (Pubitemid 41259838)
7. Takano A, Kushida Y, Aoki K, Masuoka K, Hayashida K, Cho D, Kawaguchi D and Matsushita Y 2007 Macromolecules 40 679-81
8. Laurent B A and Grayson S 2006 J. Am. Chem. Soc. 128 4238-9
9. Sugai N, Heguri H, Ohta K, Meng Q, Yamamoto T and Tezuka Y 2010 J. Am. Chem. Soc. 132 14790-802
10. Sugai N, Heguri H, Yamamoto T and Tezuka Y 2011 J. Am. Chem. Soc. 133 19694-7
11. Tezuka Y 2013 Topological Polymer Chemistry: Progress in Cyclic Polymers in Syntheses, Properties and Functions (Singapore: World Scientific)
12. Orlandini E and Whittington S G 2007 Rev. Mod. Phys. 79 611 (Pubitemid 46645555)
13. Micheletti C, Marenduzzo D and Orlandini E 2011 Phys. Rep. 504 1
14. - 2011 Statistical physics and topology of polymers with ramifications to structure and function of DNA and proteins Prog. Theor. Phys. Suppl. 191 (entire issue)
15. Deutsch J M 1999 Phys. Rev. E 59 R2539
16. Grosberg A Yu 2000 Phys. Rev. Lett. 85 3858 (Pubitemid 32027201)
17. Shimamura M K and Deguchi T 2002 Phys. Rev. E 65 051802 (Pubitemid 40606787)
18. Shimamura M K and Deguchi T 2002 J. Phys. A: Math. Gen. 35 L241
19. Dobay A, Dubochet J, Millett K, Sottas P E and Stasiak A 2003 Proc. Natl Acad. Sci. USA 100 5611 (Pubitemid 36576856)
20. Matsuda H, Yao A, Tsukahara H, Deguchi T, Furuta K and Inami T 2003 Phys. Rev. E 68 011102
21. Moore N T, Lua R C and Grosberg A Y 2004 Proc. Natl Acad. Sci. USA 101 13431 (Pubitemid 39238420)
22. Takano A et al 2012 Macromolecules 45 369
23. de Gennes P G 1979 Scaling Concepts in Polymer Physics (Ithaca, NY: Cornell University Press)
24. Doi M and Edwards S F 1986 The Theory of Polymer Dynamics (Oxford: Oxford University Press)
25. Madras N and Slade G 1993 The Self-Avoiding Walk (Boston, MA: Birkhäuser)
26. des Cloizeaux J and Jannink G 1990 Polymers in Solution (Oxford: Clarendon Press)
27. Guida R and Zinn-Justin J 1988 J. Phys. A: Math. Gen. 31 8103
28. Fisher M E 1966 J. Chem. Phys. 44 616
29. McKenzie D S and Moore M A 1971 J. Phys. A: Gen. Phys. 4 L82
30. des Cloizeaux J 1974 Phys. Rev. A 10 1665
31. des Cloizeaux J 1980 J. Phys. 41 223
32. Baumgärtner A 1981 Z. Phys. B 42 265
33. Oono Y and Ohta T 1981 Phys. Lett. A 85 480
34. Duplantier B 1986 J. Phys. 47 1633
35. Duplantier B 1985 J. Phys. Lett. 46 751
36. Bishop M and Clarke H R 1991 J. Chem. Phys. 94 3936
37. Bishop M and Clarke H R 1991 J. Chem. Phys. 95 4589
38. Valleau J P 1996 J. Chem. Phys. 116 3071
39. Timoshenko E G, Kuznetsov Y A and Connolly R 2002 J. Chem. Phys. 116 3905 (Pubitemid 34923828)
40. Calabrese P, Pelissetto A and Vicari E 2002 J. Chem. Phys. 116 8191 (Pubitemid 34555091)
41. des Cloizeaux J 1981 J. Phys. Lett. (France) 42 433
42. Yao A, Tsukahara H, Deguchi T and Inami T 2004 J. Phys. A: Math. Gen. 37 7993 (Pubitemid 39146147)
43. Shimamura M K, Kamata K, Yao A and Deguchi T 2005 Phys. Rev. E 72 041804 (Pubitemid 41777929)
44. Deguchi T and Yao A 2007 OCAMI Stud. 1 165
45. Akita Y 2010 Master Thesis Ochanomizu University (in Japanese)
46. Suzuki J, Takano A and Matsushita Y 2013 J. Chem. Phys. 138 024902
47. Madras N and Sokal A D 1988 J. Stat. Phys. 50 109
48. Madras N, Orlitsky A and Shepp L A 1990 J. Stat. Phys. 58 159