Total curvature and total torsion of knotted polymers

Macromolecules

Volumn 40, Issue 10, 2007, Pages 3860-3867

  Plunkett, Patrick ^a   Piatek, Michael ^b   Dobay, Akos ^c   Kern, John C ^a   Millett, Kenneth C ^d   Stasiak, Andrzej ^e   Rawdon, Eric J ^f  

^a DUQUESNE UNIVERSITY   (United States)

^b University of Washington   (United States)

^c UNIVERSITY OF MUNICH   (Germany)

^d UNIVERSITY OF CALIFORNIA   (United States)

^e UNIVERSITY OF LAUSANNE   (Switzerland)

^f UNIVERSITY OF ST THOMAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CROSSING NUMBER; GYRATION; KNOTTED POLYMERS; POLYGONS;

GELS; MOLECULAR STRUCTURE; MONOMERS; TORSIONAL STRESS;

POLYMERS;

EID: 34249734712     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma0627673     Document Type: Article

References (26)

1. Deutsch, J. M. Phys. Rev. E 1999, 59, 2539.
2. Grosberg, A. Y. Phys. Rev. Lett. 2000, 85, 3858.
3. Moore, N. T.; Lua, R. C.; Grosberg, A. Y. Proc. Natl. Acad. Sci. U.S.A. 2004, 101, 13431.
4. Shimamura, M. K.; Deguchi, T. J. Phys. A 2002, 35, 241.
5. Yao, A.; Tsukahara, H.; Deguchi, T.; Inami, T. J. Phys. A 2004, 37, 7993.
6. Dobay, A.; Dubochet, J.; Millett, K.; Sottas, P.-E.; Stasiak, A. Proc. Natl. Acad. Sci. U.S.A. 2003, 100, 5611.
7. Diao, Y.; Dobay, A.; Kusner, R. B.; Millett, K. C.; Stasiak, A. J. Phys. A 2003, 36, 11561.
8. Millett, K.; Dobay, A.; Stasiak, A. Macromolecules 2005, 38, 601.
9. de Gennes, P. G. Scaling Concepts in Polymer Physics; Cornell University Press: Ithaca, NY, 1979.
10. Milnor, J. W. Ann. Math. 1950, 52, 248.
11. Janse van Rensburg, E. J.; Promislow, S. D. J. Knot Theory Ramifications 1999, 8, 463.
12. Moore, N. T.; Lua, R. C.; Grosberg, A. Y. In Physical and Numerical Models in Knot Theory; Calvo, J. A., Millett, K. C., Rawdon, E. J., Stasiak, A., Eds.; World Scientific Publishing: Singapore, 2005; Vol. 36, pp 363-384.
13. Moore, N. T.; Lua, R. C.; Grosberg, A. Y. n Physical and Numerical Models in Knot Theory; Calvo, J. A., Millett, K. C., Rawdon, E. J., Stasiak, A., Eds.; World Scientific Publishing: Singapore, 2005; Vol. 36, pp 385-398.
14. Klenin, K. V.; Vologodskii, A. V.; Anshelevich, V. V.; Dykhne, A. M.; Frank-Kamenetskii, M. D. J. Biomol. Struct. Dyn. 1988, 5, 1173.
15. Matsumoto, M.; Nishimura, T. ACM Trans. Model. Comput. Simul. 1998, 8, 3.
16. Freyd, P.; Yetter, D.; Hoste, J.; Lickerish, W. B. R.; Millett, K.; Ocneanu, A. Bull. Am. Math. Soc. (N.S.) 1985, 12, 239.
17. Ewing, B.; Millett, K. C. In Progress in Knot Theory and Related Topics; Hermann: Paris, 1997; pp 51-68.
18. Hoste, J. In Handbook of Knot Theory; Elsevier: Amsterdam, 2005; pp 209-232.
19. DeGroot, M. H.; Schervish, M. J. Probability and Statistics; Addison Wesley: Reading, MA, 2001; Chapter 9, pp 572-572.
20. Millett, K. C. In Knots in Hellas '98; World Scientific Publishing: Singapore, 2000; pp 306-334.
21. Orlandini, E.; Tesi, M. C.; Janse van Rensburg, E. J.; Whittington, S. G. J. Phys. A 1998, 31, 5953.
22. Metropolis, N.; Rosenbluth, A.; Rosenbluth, M.; Teller, A.; Teller, E. J. Chem. Phys. 1953, 21, 1087.
23. Gilks, W. R., Richardson, S., Spiegelhalter, D. J., Eds. Markov Chain Monte Carlo in Practice; Chapman and Hall: London, 1996.
24. gnuplot, http://www.gnuplot.info, program for plotting and fitting data.
25. Vologodskii, A. V.; Crisona, N. J.; Laurie, B.; Pieranski, P.; Katritch, V.; Dubochet, J.; Stasiak, A. J. Mot. Biol. 1998, 278, 1.
26. Grosberg, A. Y. personal communication, 2006.