Dynamics of discrete semiflexible chains under dihedral constraints: Analytic results

Journal of Chemical Physics

Volumn 138, Issue 20, 2013, Pages

  Dolgushev, Maxim ^a   Blumen, Alexander ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS;

DYNAMICAL MATRIX; DYNAMICAL PROPERTIES; EIGENVALUES; LANGEVIN EQUATION; RELAXATION LOSS; SEMI-FLEXIBLE CHAINS; SEMI-FLEXIBLE POLYMERS; STIFFNESS PARAMETERS;

LEAD METALLOGRAPHY;

POLYMER;

CHEMISTRY; MOLECULAR DYNAMICS;

MOLECULAR DYNAMICS SIMULATION; POLYMERS;

EID: 84879394935     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4807058     Document Type: Article

References (44)

1. C. Bustamante, J. F. Marco, E. D. Siggia, and S. Smith, Science 265, 1599 (1994). 10.1126/science.8079175
2. J. Käs, H. Strey, J. X. Tang, D. Finger, R. Ezzel, E. Sackmann, and P. A. Janmey, Biophys. J. 70, 609 (1996). 10.1016/S0006-3495(96)79630-3
3. R. Götter, K. Kroy, E. Frey, M. Bärmann, and E. Sackmann, Macromolecules 29, 30 (1996). 10.1021/ma9464231
4. R. G. Winkler, J. Chem. Phys. 133, 164905 (2010). 10.1063/1.3497642
5. M. Dolgushev, G. Berezovska, and A. Blumen, Macromol. Theory Simul. 20, 621 (2011). 10.1002/mats.201100049
6. M. Bixon and R. Zwanzig, J. Chem. Phys. 68, 1896 (1978). 10.1063/1.435916
7. R. G. Winkler, P. Reineker, and L. Harnau, J. Chem. Phys. 101, 8119 (1994). 10.1063/1.468239
8. M. Guenza and A. Perico, Macromolecules 25, 5942 (1992). 10.1021/ma00048a013
9. M. Dolgushev and A. Blumen, Macromolecules 42, 5378 (2009). 10.1021/ma9003049
10. M. Dolgushev and A. Blumen, J. Chem. Phys. 131, 044905 (2009). 10.1063/1.3184797
11. A. Kumar and P. Biswas, Macromolecules 43, 7378 (2010). 10.1021/ma101142z
12. A. Kumar and P. Biswas, J. Chem. Phys. 134, 214901 (2011); 10.1063/1.3598336
13. A. Kumar and P. Biswas, J. Chem. Phys. 137, 124903 (2012). 10.1063/1.4754871
14. F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 136, 154904 (2012); 10.1063/1.3703757
15. F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 138, 034904 (2013). 10.1063/1.4775584
16. P. J. Flory, Statistical Mechanics of Chain Molecules (Oxford University Press, New York, 1988).
17. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1988).
18. A. Korkut and W. A. Hendrickson, Proc. Natl. Acad. Sci. U.S.A. 106, 15667 (2009). 10.1073/pnas.0907674106
19. A. Altis, M. Otten, P. H. Nguyen, R. Hegger, and G. Stock, J. Chem. Phys. 128, 245102 (2008). 10.1063/1.2945165
20. L. Monticelli, S. K. Kandasamy, X. Periole, R. G. Larson, D. P. Tieleman, and S.-J. Marrink, J. Chem. Theory Comput. 4, 819 (2008). 10.1021/ct700324x
21. A. Perico, F. Ganazolli, and G. Allegra, J. Chem. Phys. 87, 3677 (1987). 10.1063/1.452966
22. G. Allegra and F. Ganazolli, J. Chem. Phys. 74, 1310 (1981). 10.1063/1.441192
23. M. G. Guenza, J. Phys.: Condens. Matter 20, 033101 (2008). 10.1088/0953-8984/20/03/033101
24. See supplementary material at http://dx.doi.org/10.1063/1.4807058 E-JCPSA6-138-053320 for the detailed calculations.
25. M. Fixman and G. T. Evans, J. Chem. Phys. 68, 195 (1978). 10.1063/1.435482
26. A. A. Gurtovenko and A. Blumen, Adv. Polym. Sci. 182, 171 (2005). 10.1007/b135561
27. N. Biggs, Algebraic Graph Theory, 2nd ed. (Cambridge University Press, Cambridge, 1993).
28. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
29. M. Bixon, J. Chem. Phys. 58, 1459 (1973). 10.1063/1.1679380
30. R. Zwanzig, J. Chem. Phys. 60, 2717 (1974). 10.1063/1.1681433
31. P. Debnath, W. Min, X. S. Xie, and B. J. Cherayil, J. Chem. Phys. 123, 204903 (2005). 10.1063/1.2109809
32. W. Min, G. Luo, B. J. Cherayil, S. C. Kou, and X. S. Xie, Phys. Rev. Lett. 94, 198302 (2005). 10.1103/PhysRevLett.94.198302
33. A. Taloni, A. Chechkin, and J. Klafter, Phys. Rev. Lett. 104, 160602 (2010). 10.1103/PhysRevLett.104.160602
34. A. Perico, S. Bisio, and C. Cuniberti, Macromolecules 17, 2686 (1984). 10.1021/ma00142a041
35. A. Perico and M. Guenza, J. Chem. Phys. 84, 510 (1986). 10.1063/1.450116
36. J. J. Portman, S. Takada, and P. G. Wolynes, Phys. Rev. Lett. 81, 5237 (1998); 10.1103/PhysRevLett.81.5237
37. J. J. Portman, S. Takada, and P. G. Wolynes, J. Chem. Phys. 114, 5069 (2001); 10.1063/1.1334662
38. J. J. Portman, S. Takada, and P. G. Wolynes, J. Chem. Phys. 114, 5082 (2001). 10.1063/1.1334663
39. 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).
40. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953). 10.1063/1.1699180
41. J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, London, 1972).
42. T. Guérin, O. Bénichou, and R. Voituriez, Nat. Chem. 4, 568 (2012). 10.1038/nchem.1378
43. J. E. Hearst, R. A. Harris, and E. Beals, J. Chem. Phys. 45, 3106 (1966). 10.1063/1.1728067
44. M. O. Steinhauser, J. Schneider, and A. Blumen, J. Chem. Phys. 130, 164902 (2009). 10.1063/1.3111038