Dynamics of heteropolymers in dilute solution: Effective equation of motion and relaxation spectrum

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

Volumn 54, Issue 5, 1996, Pages 5340-5357

  Roan, Jiunn Ren ^a   Shakhnovich, E I ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DYNAMICS; EQUATIONS OF MOTION; GLASS; INTEGRAL EQUATIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; RELAXATION PROCESSES; SIMULATION; SOLUTIONS;

DILUTE SOLUTIONS; HETEROPOLYMERS; MARKOV APPROXIMATION; MEAN FIELD APPROXIMATION; RELAXATION SPECTRUM; SPIN GLASSES;

POLYMERS;

EID: 0030283470     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.5340     Document Type: Article

References (79)

1. See, for example, D R. Tilley and J. Tilley, Superfluidity and Superconductivity, 3rd ed. (Hilger, New York, 1990);
2. D S. Fisher, M. P. A. Fisher and D A. Huse, Phys. Rev. B43, 130 (1991).
3. S B. Kim, J. Ma, and M. H W. Chan, Phys. Rev. Lett.71, 2268 (1993);
4. J. Ma, S B. Kim, L W. Hrubesh, and M. H W. Chan, J. Low Temp. Phys.93, 945 (1993);
5. N. Mulders, J. Ma, S B. Kim, J S. Yoon, and M. H W. Chan, J. Low Temp. Phys.101, 95 (1995).
6. See, for example, K H. Fischer and J A. Hertz, Spin Glasses (Cambridge University Press, New York, 1991);
7. K. Binder and A P. Young, Rev. Mod. Phys.58, 801 (1986).
8. D L. Stein, Proc. Natl. Acad. Sci. U.S.A.82, 3670 (1985);
9. T. Garel and H. Orland, Europhys. Lett.6, 307 (1988);
10. E I. Shakhnovich and A M. Gutin, J. Phys. A22, 1647 (1989);
11. E I. Shakhnovich and A M. Gutin, Biophys. Chem.34, 187 (1989).
12. S. Edwards and P W. Anderson, J. Phys. F5, 965 (1975).
13. C. De Dominicis, Phys. Rev. B18, 4913 (1978).
14. P C. Martin, E D. Siggia and H A. Rose, Phys. Rev. A8, 423 (1973);
15. R V. Jensen, J. Stat. Phys.25, 183 (1981), and references therein.
16. H. Sompolinsky and A. Zippelius, Phys. Rev. B25, 6860 (1982).
17. T R. Kirkpatrick and D. Thirumalai, Phys. Rev. B36, 5388 (1987).
18. M. Doi and S F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
19. R B. Bird, C F. Curtiss, R C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids (Wiley-Interscience, New York, 1987), Vol. 2.
20. Y. Oono, Adv. Chem. Phys.61, 301 (1985).
21. A. Jagannathan, B. Schaub and Y. Oono, Phys. Lett.113A, 341 (1985).
22. B. Schaub, B A. Friedman and Y. Oono, Phys. Lett.110A, 136 (1985).
23. A. Jagannathan, Y. Oono and B. Schaub, J. Chem. Phys.86, 2276 (1987);
24. H. Johannesson and B. Schaub, Phys. Rev. A35, 3571 (1987).
25. A. Lee, P R. Baldwin and Y. Oono, Phys. Rev. A30, 968 (1984).
26. D. Jasnow and M A. Moore, J. Phys. (Paris) Lett.38, L467 (1977);
27. G. F. Al-Noaimi, G. C. Martinez-Mekler and C A. Wilson, J. Phys. (Paris) Lett.39, L373 (1978);
28. Y. Shiwa and K. Kawasaki, J. Phys. C15, 5345 (1982).
29. J D. Bryngelson and P. Wolynes, J. Phys. Chem.93, 6902 (1989).
30. K F. Freed, Renormalization Group Theory of Macromolecules (Wiley, New York, 1987).
31. J. des Cloizeaux and G. Jannink, Polymers in Solution (Oxford University Press, Oxford, 1989).
32. Y. Oono and K F. Freed, J. Chem. Phys.75, 1009 (1981).
33. L D. Landau and E M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1959).
34. Y. Oono and P. Baldwin, Phys. Rev. A33, 3391 (1986).
35. C. W. J. Beenakker and P. Mazur, Phys. Fluids28, 767 (1985) discuss a paradox (Smoluchowski paradox) caused by this nonapplicability.
36. Y. Oono, in Polymer-Flow Interaction, edited by Y. Rabin, AIP Conf. Proc. No. 137 (American Institute of Physics, New York, 1985).
37. K. Kawasaki and J D. Gunton, in Progress in Liquid Physics, edited by C. A. Croxton (Wiley, New York, 1978).
38. T A. Vilgis, J. Phys. (France) I1, 1389 (1991).
39. B. Schaub, D B. Creamer and H. Johannesson, J. Phys. A21, 1431 (1988).
40. H. Johannesson, D B. Creamer and B. Schaub, J. Phys. A20, 5071 (1987).
41. E. Frey and D R. Nelson, J. Phys. (France) I,1, 1715 (1991).
42. P. Hänggi and P. Jung, Adv. Chem. Phys.89, 239 (1995).
43. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, Oxford, 1989).
44. R. Bausch, H K. Jassen and H. Wagner, Z. Phys. B24, 113 (1976).
45. J. Kurchan, J. Phys. (France) I2, 1333 (1992) attempt to formulate spin-glass dynamics in terms of supersymmetry.
46. S P. Das and G F. Mazenko, Phys. Rev. A34, 2265 (1986).
47. W D. McComb, The Physics of Fluid Turbulence (Oxford University Press, Oxford, 1990).
48. Y. Oono (private communication).
49. However, G H. Fredrickson and E. Helfand, J. Chem. Phys.93, 2048 (1990) find that this method is useful for the study of collective dynamics of polymer solution.
50. F. Langouche, D. Roekaerts and E. Tirapegui, Physica A95, 252 (1979).
51. R. Graham, in Springer Tracts in Modern Physics Vol. 66, edited by G. Höhler and E. A. Niekisch (Springer-Verlag, Berlin, 1973).
52. C. De Dominicis and L. Peliti, Phys. Rev. B18, 353 (1978).
53. B J. West, A R. Bulsara, K. Lindenberg, V. Seshadri and K E. Shuler, Physica A97, 211 (1979).
54. H. Sompolinsky, Phys. Rev. Lett.47, 935 (1981).
55. R. Zwanzig, J. Stat. Phys.9, 215 (1973).
56. K. Kawasaki, J. Phys. A6, 1289 (1973).
57. J. P. Boon and S. Yip, Molecular Hydrodynamics (Dover, New York, 1991); J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986); D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Addison-Wesley, Reading, MA, 1990).
58. M C. Wang and G E. Uhlenbeck, Rev. Mod. Phys.17, 323 (1945).
59. R. Zwanzig, Phys. Rev.124, 983 (1961).
60. L F. Cugliandolo and J. Kurchan, J. Phys. A27, 5749 (1994);
61. L F. Cugliandolo and J. Kurchan, Philos. Mag. B71, 501 (1995);
62. L F. Cugliandolo, J. Kurchan and F. Ritort, Phys. Rev. B49, 6331 (1994);
63. A, Crisanti, H. Horner and H.-J. Sommers, Z. Phys. B92, 257 (1993);
64. S. Franz and M. Mézard, Europhys. Lett.26, 209 (1994);
65. S. Franz and M. Mézard, Physica A210, 48 (1994);
66. A. Baldassarri, L F. Cugliandolo, J. Kurchan and G. Parisi, J. Phys. A28, 1831 (1995).
67. H. Mori and H. Fujisaka, Prog. Theor. Phys.49, 764 (1973);
68. K. S. J. Nordholm and R. Zwanzig, J. Stat. Phys.11, 143 (1974).
69. S.-K. Ma and G F. Mazenko, Phys. Rev. B11, 4077 (1975).
70. S. Stepanow, J. Phys. A17, 3041 (1984).
71. A M. Gutin, A. Sali, V I. Abkevich, M. Karplus, and E I. Shakhnovich (unpublished).
72. P. G. de Gennes, Phys. Lett.38A, 339 (1972).
73. V J. Emery, Phys. Rev. B11, 239 (1975);
74. D. Jasnow and M E. Fisher, Phys. Rev. B13, 1112 (1976).
75. A. Maritan, M. Cieplak, M R. Swift, F. Toigo and J R. Banavar, Phys. Rev. Lett.69, 221 (1992);
76. see also, A. Falicov and A N. Berker, Phys. Rev. Lett.74, 426 (1995).
77. M. Blume, V J. Emery and R B. Griffiths, Phys. Rev. A4, 1071 (1971).
78. A. Byrne, P. Kiernan, D. Green and K A. Dawson, J. Chem. Phys.102, 573 (1995).
79. F. Ganazzoli, R. La Ferla and G. Allegra, Macromolecules28, 5285 (1995).