Effect of curvature and twist on the conformations of a fluctuating ribbon

Journal of Chemical Physics

Volumn 118, Issue 2, 2003, Pages 897-904

  Kessler, David A ^a   Rabin, Y ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BENDING (DEFORMATION); COMPUTER SIMULATION; CONFORMATIONS; DNA; ELASTICITY; LEAST SQUARES APPROXIMATIONS; MONTE CARLO METHODS; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION; RIGIDITY;

CURVATURE; FLUCTUATING RIBBON; RETILINEAR RIBBONS; TWIST RIGIDITIES;

STATISTICAL MECHANICS;

EID: 0037425649     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1526467     Document Type: Article

References (46)

1. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
2. P. J. Flory, Statistical Mechanics of Chain Molecules (Interscience, New York, 1969).
3. J. Shimada and H. Yamakawa, Macromolecules 17, 689 (1984).
4. F. Tanaka and H. Takahashi, J. Chem. Phys. 83, 6017 (1985).
5. I. Tobias and W. K. Olson, Biopolymers 33, 639 (1993).
6. Y. Shi and J. E. Hearst, J. Chem. Phys. 101, 5186 (1994).
7. J.F. Marko and E. D. Siggia, Macromolecules 27, 981 (1994).
8. B. Y. Ha and D. Thirumalai, J. Chem. Phys. 103, 9408 (1995).
9. J. V. Selinger, F. C. MacKintosh, and J. M. Schnur, Phys. Rev. E 53, 3804 (1996).
10. J. Wilhelm and E. Frey, Phys. Rev. Lett. 77, 2581 (1996).
11. A. Goriely and M. Tabor, Phys. Rev. Lett. 77, 3537 (1996).
12. R. D. Kamien, T. C. Lubensky, P. Nelson, and C. S. O'Hern, Europhys. Lett. 38, 237 (1997).
13. B. Fain, J. Rudnick, and S. Östlund, Phys. Rev. E 55, 7364 (1997).
14. C. Bouchiat and M. Mezard, Phys. Rev. Lett. 80, 1556 (1998).
15. J. D. Moroz and P. Nelson, Macromolecules 31, 6333 (1998).
16. T. B. Liverpool, R. Golestanian, and K. Kremer, Phys. Rev. Lett. 80, 405 (1998).
17. R. E. Goldstein, T. R. Powers, and C. H. Wiggins, Phys. Rev. Lett. 80, 5232 (1998).
18. H. J. Zhou, Y. Zhang, and Z. C. Ou-Yang, Phys. Rev. Lett. 82, 4560 (1999).
19. R. Everaers, F. Julicher, A. Ajdari, and A. C. Maggs, Phys. Rev. Lett. 82, 3717 (1999).
20. D. Garrivier and B. Fourcade, Europhys. Lett. 49, 390 (2000).
21. R. Golestanian and T. B. Liverpool, Phys. Rev. E 62, 5488 (2000).
22. D. A. Beard and T. Schlick, J. Chem. Phys. 112, 7323 (2000).
23. S. V. Panyukov and Y. Rabin, Phys. Rev. Lett. 85, 2404 (2000).
24. A. C. Maggs, J. Chem. Phys. 114, 5888 (2001).
25. Z. Zhou and P. Y. Lai, Chem. Phys. Lett. 346, 449 (2001).
26. J. Samuel and S. Sinha, cond-mat/0203491 (2002).
27. S. V. Panyukov and Y. Rabin, Phys. Rev. E 62, 7135 (2000).
28. S. V. Panyukov and Y. Rabin, Phys. Rev. E 64, 011911 (2001).
29. Y. Kats, D. A. Kessler, and Y. Rabin, Phys. Rev. E 65, 020801(R) (2002).
30. D. A. Kessler, and Y. Rabin, cond-mat/0205612, Phys. Rev. Lett. (submitted).
31. A. D. Drozdov, S. V. Panyukov, and Y. Rabin, Physica A (to be publised).
32. S. V. Panyukov and Y. Rabin, Europhys. Lett. 57, 512 (2002).
33. T. R. Strick, J.-F. Allemand, D. Bensimon, A. Bensimon, and V. Croquette, Science 271, 1835 (1996).
34. B. D. Coleman, M. Lembo, and I. Tobias, Meccanica 31, 565 (1996).
35. B. Smith, Y. V. Zastavker, and G. B. Benedek, Phys. Rev. Lett. 87, 278101 (2001).
36. M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957).
37. J. H. White, Am. J. Math. 91, 693 (1969).
38. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1944).
39. A. A. Podtelezhnikov, N. R. Cozzarelli, and A. V. Vologodskii, Proc. Natl. Acad. Sci. U.S.A. 96, 12974 (1999).
40. See Ref. 28, Sec. 6, for a more extensive discussion of this point.
41. V. F. Holmes and N. R. Cozzarelli, Proc. Natl. Acad. Sci. U.S.A. 97, 1322 (2000).
42. A. A. Podtelezhnikov and A. V. Vologodskii, Macromolecules 33, 2767 (2000).
43. D. S. Horowitz and J. C. Wang, J. Mol. Biol. 173, 75 (1984).
44. I. Tobias, D. Swigon, and B. D. Coleman, Phys. Rev. E 61, 747 (2000).
45. N. L. Goddard, G. Bonnet, O. Krichevsky, and A. Libchaber, Phys. Rev. Lett. 85, 2400 (2000).
46. Y. Yang I. Tobias, and W. K. Olson, J. Chem. Phys. 98, 1673 (1993).