Stiff knots

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

Volumn 75, Issue 3, 2007, Pages

  Gallotti, R ^a   Pierre Louis, O ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GEOMETRY; MONTE CARLO METHODS; OPTIMIZATION; PROBLEM SOLVING;

EQUILIBRIUM ENERGY; EQUILIBRIUM TENSION; STIFF KNOTS; STRING ENTANGLEMENTS;

STATISTICAL MECHANICS;

EID: 33947276117     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.031801     Document Type: Article

References (34)

1. Y. Arai, Nature (London) NATUAS 0028-0836 10.1038/20894 399, 446 (1999).
2. T. Lobovkina, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0401760101 101, 7949 (2004).
3. B. Vigolo, Science SCIEAS 0036-8075 10.1126/science.290.5495.1331 290, 1331 (2000).
4. L. Tong, Nature (London) NATUAS 0028-0836 10.1038/nature02193 426, 816 (2003).
5. A. M. Saitta, Nature (London) NATUAS 0028-0836 10.1038/19935 399, 46 (1999).
6. X. R. Bao, H. J. Lee, and S. R. Quake, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.265506 91, 265506 (2003);
7. M. Otto and T. A. Vilgis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.881 80, 881 (1998);
8. V. Katrich, Nature (London) NATUAS 0028-0836 10.1038/384142a0 384, 142 (1996).
9. E. Guitter and E. Orlandini, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/8/006 32, 1359 (1999);
10. 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).
11. P. G. Dommersnes, Y. Kantor, and M. Kardar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.031802 66, 031802 (2002).
12. J. O'Hara, Energy of Knots and Conformal Geometry (World Scientific, Singapore, 2003).
13. D. C. Morse, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.031502 63, 031502 (2001).
14. B. Hinner, M. Tempel, E. Sackmann, K. Knoy, and E. Fney, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2614 81, 2614 (1998);
15. M. L. Gardel, M. T. Valentine, J. C. Crocker, A. R. Bansch, and D. A. Weite, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.158302 91, 158302 (2003).
16. D. Rodney, M. Fivel, and R. Dendievel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.108004 95, 108004 (2005).
17. G. Buck and E. J. Rawdon, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.011803 70, 011803 (2004).
18. See, e.g., L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics (Butterworth and Heinemann, London, 1999), Vol. 7, p. 17
19. or M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Cambridge University Press, Cambridge, England, 1986).
20. R. D. Kamien, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.953 74, 953 (2002).
21. L. Euler, Bousquet, Lausannae et Genevae 24, E65A. O.O.Ser.I (1744).
22. J. Langer and D. A. Singer, J. Lond. Math. Soc. JLMSAK 0024-6107 30, 512 (1984).
23. H. von der Mosel, Asymptotic Anal. ASANEZ 0921-7134 18, 49 (1998).
24. J. W. Milnor, Ann. Math. ANMAAH 0003-486X 52, 248 (1949).
25. SA. Wasserman and NR. Cozzarelli, Science SCIEAS 0036-8075 10.1126/science.3010458 232, 951 (1986).
26. P. G. De Gennes, Macromolecules MAMOBX 0024-9297 10.1021/ma00134a030 17, 703 (1984);
27. P. Pierański, S. Przybyl, and A. Stasiak, Eur. Phys. J. A EPJAFV 1434-6001 6, 123 (2001).
28. V. Katrich, Nature (London) NATUAS 0028-0836 10.1038/384142a0 384, 142 (1996);
29. V. Katrich, Nature (London) NATUAS 0028-0836 10.1038/40582 388, 148 (1997).
30. J. W. Alexander, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 9, 93 (1923).
31. L. H. Kauffman, Knots and Physics (World Scientific, Singapore, 1993).
32. http://katlas.math.toronto.edu/
33. C. Lescop (private communication).
34. Y. Diao and C. Ernst, Proc. Cambridge Philos. Soc. PCPSA4 0068-6735 (to be published).