Conformational statistics of stiff macromolecules as solutions to partial differential equations on the rotation and motion groups

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 1, 2000, Pages 880-892

  Chirikjian, Gregory S ^a   Wang, Yunfeng ^a  

^a Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STATISTICAL METHODS;

CONFORMATIONAL STATISTICS;

MACROMOLECULES;

EID: 0034227093     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.880     Document Type: Article

References (62)

1. J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modelling and Structure (Clarendon Press, Oxford, 1990).
2. P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
3. P.J. Flory, Statistical Mechanics of Chain Molecules (Wiley-Interscience, New York, 1969).
4. H. Yamakawa, Helical Wormlike Chains in Polymer Solutions (Springer, Berlin, 1997).
5. M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
6. A.Yu. Grosberg and A.R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
7. R.P. Mondescu, and M. Muthukumar, Phys. Rev. E 57, 4411 (1998).
8. D. Thirumalai and B.-Y. Ha, in Theoretical and Mathematical Models in Polymer Research, edited by A. Grosberg (Academic Press, Orlando), pp. 1-35.
9. W. Gobush, H. Yamakawa, W.H. Stockmayer, and W.S. Magee, J. Chem. Phys. 57, 2839-2843 (1972).
10. B.Y. Ha and D. Thirumalai, J. Chem. Phys. 106, 4243 (1997).
11. P.J. Hagerman, Biopolymers 24, 1881 (1985).
12. A.L. Kholodenko, J. Chem. Soc., Faraday Trans. 91, 2473 (1995).
13. K. Klenin, H. Merlitz, and J. Langowski, Biophys. J. 74, 780 (1998).
14. K. Kroy and E. Frey, Phys. Rev. Lett. 77, 306 (1996).
15. J.B. Lagowski, J. Noolandi, and B. Nickel, J. Chem. Phys. 95, 1266 (1991).
16. T.B. Liverpool, R. Golestanian, and K. Kremer, Phys. Rev. Lett. 80, 405 (1998).
17. S. Matsutani, J. Geom. Phys. 29, 243 (1999).
18. T. Odijk, Macromolecules 28, 7016 (1995).
19. M. Schmidt and W.H. Stockmayer, Macromolecules 17, 509 (1984).
20. Y. Shi, S. He, and J.E. Hearst, J. Chem. Phys. 105, 714 (1996).
21. J. Shimada and H. Yamakawa. J. Mol. Biol. 184, 319 (1985).
22. D. Shore and R.L. Baldwin, J. Mol. Biol. 170, 957 (1983).
23. S. Stepanow, Phys. Rev. E 54, R2209 (1996).
24. A.V. Vologodskii, V.V. Anshelevich, A.V. Lukashin, and M.D. Frank-Kamenetskii, Nature (London) 280, 294 (1979).
25. J. Wilhelm, and E. Frey, Phys. Rev. Lett. 77, 2581 (1996).
26. R.G. Winkler, L. Harnau, and P. Reineker, Macromol. Theory Simul. 6, 1007 (1997).
27. R.G. Winkler, Phys. Rev. Lett. 82, 1843 (1999).
28. H. Yamakawa and W.H. Stockmayer, J. Chem. Phys. 57, 2843 (1972).
29. S.R. Zhao, C.P. Sun, and W.X. Zhang, J. Chem. Phys. 106, 2520 (1997).
30. M.G. Bawendi and F.F. Karl, J. Chem. Phys. 83, 2491 (1985).
31. S.M. Bhattacharjee and M. Muthukumar, J. Chem. Phys. 86, 411 (1987).
32. T.B. Liverpool and S.F. Edwards, J. Chem. Phys. 103, 6716 (1995).
33. A. Miyake, J. Phys. Soc. Jpn. 50, 1676 (1981).
34. C.G. Baumann, S.B. Smith, V.A. Bloomfield, and C. Bustamante, Proc. Natl. Acad. Sci. USA 94, 6185 (1997).
35. D.S. Horowitz and J.C. Wang, J. Mol. Bio. 173, 75 (1984).
36. J.D. Moroz and P. Nelson, Proc. Natl. Acad. Sci. USA 94, 14418 (1997).
37. J.D. Moroz and P. Nelson, Macromolecules 31, 6333 (1998).
38. S.B. Smith, L. Finzi, and C. Busmante, Science 258, 1122 (1992).
39. S.D. Levene and D.M. Crothers, J. Mol. Biol. 189, 61 (1986).
40. C. Buchiat, M.D. Wang, J.F. Allemand, T. Strick, S.M. Block, and V. Croquette, Biophys. J. 76, 409 (1999).
41. P. Cluzel, A. Lebrun, H. Christoph, R. Lavery, J.L. Viovy, D. Chatenay, and F. Caron, Science 271, 792 (1996).
42. R.D. Kamein, T.C. Lubensky, P. Nelson, and C.S. O'Hern, Europhys. Lett. 28, 237 (1997).
43. T.R. Strick, J.F. Allemand, D. Bensimon, A. Bensimon, and V. Croquette, Science 271, 1835 (1996).
44. M.D. Wang, H. Yin, R. Landick, J. Gelles, and S.M. Block, Biophys. J. 72, 1335 (1997).
45. O. Kratky and G. Porod, Rec. Trav. Chem. 68, 1106 (1949).
46. H.E. Daniels, Proc. R. Soc. Edinburgh, Sect. A: Math. Phys. Sci. 63, 290 (1952).
47. J.J. Hermans, and R. Ullman, Physica (Utrecht) 18, 951 (1952).
48. J.F. Marko and E.D. Siggia, Macromolecules 27, 981 (1994).
49. H. Zhou and Z. Ou-Yang, Phys. Rev. E 58, 4816 (1998).
50. J.F. Marko, Phys. Rev. E 57, 2134 (1998).
51. L. Schulman, Phys. Rev. 176, 1558 (1968).
52. M. Böhm and G. Junker, J. Math. Phys. 28, 1978 (1978).
53. W. Tomé, Path Integrals on Group Manifolds (World Scientific, Singapore, 1998).
54. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, 2nd ed. (World Scientific, Singapore, 1995).
55. I. M. Gelfand, R. A. Minlos, and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and Their Applications (Pergamon Press, New York, 1963).
56. N.J. Vilenkin, E.L. Akim, and A.A. Levin, Dokl. Akad. Nauk SSSR 112, 987 (1957) (in Russian); also N.J. Vilenkin and N.J. Klimyk, Representation of Lie Groups and Special Functions (Kluwer Academic, Dordrecht, Holland, 1991), Vols. 1-3.
57. N.J. Vilenkin, E.L. Akim, and A.A. Levin, Dokl. Akad. Nauk SSSR 112, 987 (1957) (in Russian); also N.J. Vilenkin and N.J. Klimyk, Representation of Lie Groups and Special Functions (Kluwer Academic, Dordrecht, Holland, 1991), Vols. 1-3.
58. J.-M. Normand, A Lie Group: Rotations in Quantum Mechanics (North-Holland, New York, 1980).
59. A.B. Kyatkin and G.S. Chirikjian, Acta Appl. Math. 53, 123 (1998).
60. G.S. Chirikjian and A.B. Kyatkin, Engineering Applications of Noncommutative Harmonic Analysis (CRC Press, in press).
61. W. Miller, Lie Theory and Special Functions (Academic Press, New York, 1968); also see W. Miller, Commun. Pure Appl. Math. 17, 527 (1964).
62. W. Miller, Lie Theory and Special Functions (Academic Press, New York, 1968); also see W. Miller, Commun. Pure Appl. Math. 17, 527 (1964).