Deformation of a stretched polymer knot

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 3, 2000, Pages 2895-2901

  Sheng, Yu Jane ^a   Lai, Pik Yin ^b   Tsao, Heng Kwong ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CHAINS; COMPUTER SIMULATION; INTELLIGENT SYSTEMS; MONTE CARLO METHODS;

COMPOSITE SPRING MODEL; KNOTTED POLYMERS; SELF AVOIDING WALK; STATIC PROPERTIES; STRETCHED POLYMERS; STRETCHING FORCE; TOPOLOGICAL INVARIANTS; TRACTION FORCES;

POLYMERS;

EID: 0000894539     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2895     Document Type: Article

References (27)

1. W. R. Bauer, F. H. C. Crick, and J. H. White, Sci. Am. 243, 118 (1980).
2. N. R. Cozzarelli, S. J. Spengler, and A. Stasiak, Cell 42, 325 (1985).
3. S. A. Wasserman and N. R. Cozzarelli, Science 232, 951 (1986).
4. S. R. Quake, Phys. Rev. Lett. 73, 3317 (1994).
5. A. Yu. Grosberg, A. Feigel, and Y. Rabin, Phys. Rev. E 54, 6618 (1996).
6. V. Katritch, J. Bednar, D. Michoud, R. G. Scharein, J. Dubochet, and A. Stasiak, Nature (London) 384, 142 (1996).
7. Y.-J. Sheng, P.-Y. Lai, and H.-K. Tsao, Phys. Rev. E 58, R1222 (1998).
8. V. F. R. Jones, Bull. Am. Math. Soc. 12, 103 (1985).
9. F. Y. Wu, Rev. Mod. Phys. 64, 1099 (1992).
10. L. H. Kauffman, Knots and Physics, 2nd ed. (World Scientific, Singapore, 1993).
11. G. Burde and H. Zieschang, Knots (de Gruyter, Berlin, 1985).
12. A. Stasiak, V. Katritch, J. Bednar, D. Michoud, and J. Dubochet, Nature (London) 384, 122 (1996).
13. P.-Y. Lai, Y.-J. Sheng, and H.-K. Tsao, Physica A (to be published).
14. P.-Y. Lai, Y.-J. Sheng, and H.-K. Tsao (unpublished).
15. J. F. Marko and E. D. Siggia, Macromolecules 28, 8759 (1994).
16. J. F. Marko and E. D. Siggia, Science 256, 506 (1994)
17. J. F. MarkoE. D. SiggiaPhys. Rev. E 52, 2912 (1995).
18. H. Zhou, Y. Zhang, and Z.-C. Ou-Yang, Phys. Rev. Lett. 82, 4560 (1999).
19. J. F. Marko, Phys. Rev. E 59, 900 (1999).
20. Y. Arai, R. Yasuda, K.-I. Akashi, Y. Harada, H. Miyata, K. Kinoshita, Jr., and H. Itoh, Nature (London) 399, 446 (1999).
21. A. M. Saitta, P. D. Soper, E. Wasserman, and M. L. Klein, Nature (London) 399, 46 (1999).
22. Y.-J. Sheng, P.-Y. Lai, and H.-K. Tsao, Phys. Rev. E 56, 1900 (1997).
23. M. P. Allen and D. J. Tildesley, Computer Simulations of Liquids (Oxford University Press, New York, 1987).
24. P. Pincus, Macromolecules 9, 386 (1976).
25. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
26. J. C. Le. Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977)
27. J. C. Le. GuillouJ. Zinn-JustinPhys. Rev. B 21, 3976 (1980).