Scattering functions of knotted ring polymers

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

Volumn 72, Issue 4, 2005, Pages

  Shimamura, Miyuki K ^a   Kamata, Kumiko ^a   Yao, Akihisa ^a   Deguchi, Tetsuo ^a  

^a OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN POLYGON; KNOTTED RING POLYMERS; SCATTERING FUNCTIONS;

COMPUTER SIMULATION; CONSTRAINT THEORY; FUNCTION EVALUATION; SCATTERING;

POLYMERS;

EID: 28844505051     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.041804     Document Type: Article

References (33)

1. E. F. Casassa, J. Polym. Sci., Part A: Gen. Pap. JPYAAK 0449-2951 10.1002/pol.1965.100030217 3, 605 (1965).
2. A. V. Vologodskii, A. V. Lukashin, M. D. Frank-Kamenetskii, and V. V. Anshelevich, Sov. Phys. JETP SPHJAR 0038-5646 39, 1059 (1974).
3. J. R. Roovers and P. M. Toporowski, Macromolecules MAMOBX 0024-9297 10.1021/ma00240a002 16, 843 (1983).
4. Cyclic Polymers, 2nd ed., edited by, J. A. Semlyen, (Kluwer Academic, Dordrecht, 2000).
5. W. Burchard, in Cyclic Polymers, pp. 43-84.
6. G. ten Brinke and G. Hadziioannou, Macromolecules MAMOBX 0024-9297 20, 480 (1987).
7. J. des Cloizeaux, J. Phys. (France) Lett. JPSLBO 0302-072X 42, L433 (1981).
8. J. M. Deutsch, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.R2539 59, R2539 (1999).
9. A. Yu. Grosberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3858 85, 3858 (2000).
10. M. K. Shimamura and T. Deguchi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/18/102 35, L241 (2002).
11. A. Dobay, J. Dubochet, K. Millett, P. E. Sottas, and A. Stasiak, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0330884100 100, 5611 (2003).
12. H. Matsuda, A. Yao, H. Tsukahara, T. Deguchi, K. Furuta, and T. Inami, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.011102 68, 011102 (2003).
13. N. T. Moore, R. C. Lua, and A. Y. Grosberg, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0403383101 101, 13431 (2004).
14. M. K. Shimamura and T. Deguchi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.020801 64, 020801 (R) (2001).
15. M. K. Shimamura and T. Deguchi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.051802 65, 051802 (2002).
16. M. Doi, Introduction to Polymer Physics (Clarendon Press, Oxford, 1996).
17. I. Teraoka, Polymer Solutions (Wiley, New York, 2002).
18. B. Marcone, E. Orlandini, A. L. Stella, and F. Zonta, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/1/L03 38 L15 (2005).
19. R. Metzler, A. Hanke, P. G. Dommersnes, Y. Kantor, and M. Kardar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.188101 88 188101 (2002).
20. O. Farago, Y. Kantor, and M. Kardar, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00317-0 60, 53 (2002).
21. R. Zhandi, Y. Kantor, and M. Kardar, ARI The Bulletin of the ITU 53, 6 (2003).
22. M. K. Shimamura and T. Deguchi, in Physical and Numerical Models in Knot Theory, edited by, J. A. Calvo, K. C. Millett, and, E. J. Rawdon, (World Scientific, Singapore, 2005), pp. 399-419.
23. K. V. Klenin, A. V. Vologodskii, V. V. Anshelevich, A. M. Dykhne, and M. D. Frank-Kamenetskii, J. Biomol. Struct. Dyn. JBSDD6 0739-1102 5, 1173 (1988).
24. E. J. Janse van Rensburg and S. G. Whittington, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/16/028 24, 3935 (1991).
25. E. Orlandini, M. C. Tesi, E. J. Janse van Rensburg, and S. G. Whittington, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/28/010 31, 5953 (1998).
26. M. K. Shimamura and T. Deguchi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00545-4 274, 184 (2000).
27. M. K. Shimamura and T. Deguchi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.1523 70, 1523 (2001).
28. A. Yao, H. Tsukahara, T. Deguchi, and T. Inami, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/33/002 37, 7993 (2004).
29. J. des Cloizeaux and M. L. Mehta, J. Phys. (Paris) JOPQAG 0302-0738 40, 665 (1979).
30. M. Polyak and O. Viro, Int. Math. Res. Notices 1073-7928 No. 11, 445 (1994).
31. T. Deguchi and K. Tsurusaki, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90537-A 174, 29 (1993).
32. T. Deguchi and K. Tsurusaki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.6245 55, 6245 (1997).
33. K. Kamata, Master thesis (in Japanese), Ochanomizu University, 2005.