Gaussian semiflexible rings under angular and dihedral restrictions

Journal of Chemical Physics

Volumn 141, Issue 1, 2014, Pages

  Dolgushev, Maxim ^a   Guérin, Thomas ^b,c   Blumen, Alexander ^a   Bénichou, Olivier ^b   Voituriez, Raphaël ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^c UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

PHYSICAL CHEMISTRY; PHYSICS;

FOLDED STRUCTURES; GAUSSIAN SYSTEMS; GAUSSIANS; LANGEVIN EQUATION; MEAN-SQUARE; RING CONFORMATIONS; SEMI-FLEXIBLE POLYMERS;

DIFFERENTIAL EQUATIONS;

POLYMER;

CHEMISTRY; CONFORMATION; MOLECULAR DYNAMICS; NORMAL DISTRIBUTION;

MOLECULAR CONFORMATION; MOLECULAR DYNAMICS SIMULATION; NORMAL DISTRIBUTION; POLYMERS;

EID: 84904015770     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4885445     Document Type: Article

References (59)

1. M. Bixon and R. Zwanzig, J. Chem. Phys. 68, 1896 (1978). 10.1063/1.435916
2. A. Perico and M. Guenza, J. Chem. Phys. 84, 510 (1986). 10.1063/1.450116
3. M. Guenza and A. Perico, Macromolecules 25, 5942 (1992). 10.1021/ma00048a013
4. R. G. Winkler, P. Reineker, and L. Harnau, J. Chem. Phys. 101, 8119 (1994). 10.1063/1.468239
5. B.-Y. Ha and D. Thirumalai, J. Chem. Phys. 103, 9408 (1995). 10.1063/1.470001
6. L. Harnau, R. G. Winkler, and P. Reineker, J. Chem. Phys. 106, 2469 (1997). 10.1063/1.473154
7. J. J. Portman, S. Takada, and P. G. Wolynes, J. Chem. Phys. 114, 5069 (2001). 10.1063/1.1334662
8. M. G. Guenza, J. Phys.: Condens. Matter 20, 033101 (2008). 10.1088/0953-8984/20/03/033101
9. M. Dolgushev and A. Blumen, J. Chem. Phys. 131, 044905 (2009). 10.1063/1.3184797
10. R. G. Winkler, J. Chem. Phys. 133, 164905 (2010). 10.1063/1.3497642
11. G. T. Barkema and J. M. J. van Leeuwen, J. Stat. Mech. 2012, P12019. 10.1088/1742-5468/2012/12/P12019
12. A. Kumar, G. J. Rai, and P. Biswas, J. Chem. Phys. 138, 104902 (2013). 10.1063/1.4794310
13. R. D. Groot, J. Chem. Phys. 138, 224903 (2013). 10.1063/1.4808199
14. D. T. Seaton, S. Schnabel, D. P. Landau, and M. Bachmann, Phys. Rev. Lett. 110, 028103 (2013). 10.1103/PhysRevLett.110.028103
15. Y. Jiang and J. Z. Y. Chen, Phys. Rev. Lett. 110, 138305 (2013). 10.1103/PhysRevLett.110.138305
16. C. Bustamante, J. F. Marco, E. D. Siggia, and S. Smith, Science 265, 1599 (1994). 10.1126/science.8079175
17. M. Dolgushev and A. Blumen, J. Chem. Phys. 132, 124905 (2010). 10.1063/1.3366662
18. M. Dolgushev, G. Berezovska, and A. Blumen, J. Chem. Phys. 133, 154905 (2010). 10.1063/1.3505147
19. M. Dolgushev, G. Berezovska, and A. Blumen, Macromol. Theory Simul. 20, 621 (2011). 10.1002/mats.201100049
20. F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 136, 154904 (2012). 10.1063/1.3703757
21. F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 138, 034904 (2013). 10.1063/1.4775584
22. A. A. Gurtovenko and A. Blumen, Adv. Polym. Sci. 182, 171 (2005). 10.1007/b135561
23. P. J. Flory, Statistical Mechanics of Chain Molecules (Oxford University Press, New York, 1988).
24. A. Korkut and W. A. Hendrickson, Proc. Natl. Acad. Sci. U.S.A. 106, 15667 (2009). 10.1073/pnas.0907674106
25. A. Altis, M. Otten, P. H. Nguyen, R. Hegger, and G. Stock, J. Chem. Phys. 128, 245102 (2008). 10.1063/1.2945165
26. M. Dolgushev and A. Blumen, J. Chem. Phys. 138, 204902 (2013). 10.1063/1.4807058
27. M. Trabi and D. J. Craik, Trends Biochem. Sci. 27, 132 (2002). 10.1016/S0968-0004(02)02057-1
28. K. Alim and E. Frey, Phys. Rev. Lett. 99, 198102 (2007). 10.1103/PhysRevLett.99.198102
29. Z. Benková and P. Cifra, Macromolecules 45, 2597 (2012). 10.1021/ma202730c
30. W. Chen, J. Chen, L. Liu, X. Xu, and L. An, Macromolecules 46, 7542 (2013). 10.1021/ma401137c
31. M. Dolgushev, G. Berezovska, and A. Blumen, J. Chem. Phys. 135, 094901 (2011). 10.1063/1.3631943
32. A. Y. Grosberg, Macromolecules 41, 4524 (2008). 10.1021/ma800299c
33. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon Press, Oxford, 1969).
34. M. L. Eaton, Multivariate Statistics: A Vector Space Approach (Institute of Mathematical Statistics, Beachwood, OH, 1983), Vol. 53.
35. T. Guérin, O. Bénichou, and R. Voituriez, Nat. Chem. 4, 568 (2012). 10.1038/nchem.1378
36. T. Guérin, O. Bénichou, and R. Voituriez, J. Chem. Phys. 138, 094908 (2013). 10.1063/1.4792437
37. T. Guérin, O. Bénichou, and R. Voituriez, Phys. Rev. E 87, 032601 (2013). 10.1103/PhysRevE.87.032601
38. G. Strobl, The Physics of Polymers (Springer, Berlin, 1996).
39. G. Witz, K. Rechendorff, J. Adamcik, and G. Dietler, Phys. Rev. Lett. 101, 148103 (2008). 10.1103/PhysRevLett.101.148103
40. D. Kawaguchi, Polym. J. 45, 783 (2013). 10.1038/pj.2012.231
41. F. Amblard, A. C. Maggs, B. Yurke, A. N. Pergellis, and S. Leibler, Phys. Rev. Lett. 77, 4470 (1996). 10.1103/PhysRevLett.77.4470
42. E. T. Jaynes, Phys. Rev. 106, 620 (1957). 10.1103/PhysRev.106.620
43. H. Haken, Synergetik (Springer, Berlin, 1983).
44. J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, London, 1972).
45. See supplementary material at http://dx.doi.org/10.1063/1.4885445 E-JCPSA6-141-004426 for the detailed calculations.
46. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
47. A. Y. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (American Institute of Physics, New York, 1994).
48. N. Biggs, Algebraic Graph Theory, 2nd ed. (Cambridge University Press, Cambridge, 1993).
49. V. Bloomfield and B. H. Zimm, J. Chem. Phys. 44, 315 (1966). 10.1063/1.1726463
50. A. J. Chompff, J. Chem. Phys. 53, 1566 (1970). 10.1063/1.1674214
51. C. Satmarel, A. A. Gurtovenko, and A. Blumen, Macromolecules 36, 486 (2003). 10.1021/ma0214409
52. G. Tsolou, N. Stratikis, C. Baig, P. S. Stephanou, and V. G. Mavrantzas, Macromolecules 43, 10692 (2010). 10.1021/ma1017555
53. H. Schiessel, Phys. Rev. E 57, 5775 (1998). 10.1103/PhysRevE.57.5775
54. P. Biswas, R. Kant, and A. Blumen, Macromol. Theory Simul. 9, 56 (2000). 10.1002/(SICI)1521-3919(20000101)9:1<56::AID-MATS56>3.0.CO;2-N
55. O. G. Berg, Biopolymers 18, 2861 (1979). 10.1002/bip.1979.360181114
56. B. H. Zimm and W. H. Stockmayer, J. Chem. Phys. 17, 1301 (1949). 10.1063/1.1747157
57. W. C. Forsman and R. E. Hughes, J. Chem. Phys. 38, 2118 (1963). 10.1063/1.1733942
58. W. H. Press, S. A. Teukolski, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77, 2nd ed. (Cambridge University Press, New York, 2003).
59. J. C. Mason and D. C. Handscomb, Chebyshev Polynomials (Chapman and Hall, 2003).