Dynamics of deterministic fractal polymer networks: Hydrodynamic interactions and the absence of scaling

Journal of Chemical Physics

Volumn 118, Issue 5, 2003, Pages 2398-2404

  Jurijiu, A ^a   Koslowski, Th ^a   Blumen, A ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; DIELECTRIC RELAXATION; EIGENVALUES AND EIGENFUNCTIONS; FRACTALS; HYDRODYNAMICS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; RELAXATION PROCESSES;

FRACTAL POLYMER NETWORKS; HYDRODYNAMIC INTERACTIONS; OSEEN TENSOR; SIERPINSKI TYPE LATTICES; ZIMM MODEL;

INTERPENETRATING POLYMER NETWORKS;

EID: 0037324078     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1534576     Document Type: Article

References (59)

1. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953).
2. B. H. Zimm, J. Chem. Phys. 24, 269 (1956).
3. B. Ewen and D. Richter, Adv. Polym. Sci. 134, 1 (1997).
4. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
5. A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994)
6. J. Roovers, in Star and Hyperbranched Polymers, edited by M. K. Mishra and S. Kobayashi (Marcel Dekker, New York, 1999), p. 285.
7. J. Roovers and B. Comanita, Adv. Polym. Sci. 142, 179 (1999).
8. C. Cai and Z. Y. Chen, Macromolecules 30, 5104 (1997).
9. Z. Y. Chen and C. Cai, Macromolecules 32, 5423 (1999).
10. F. Ganazzoli, R. La Ferla, and G. Raffaini, Macromolecules 34, 4222 (2001).
11. W. Burchard, Adv. Polym. Sci. 143, 113 (1999).
12. J. J. Freire, Adv. Polym. Sci. 143, 35 (1999).
13. J. Kemp and Z. Y. Chen, Phys. Rev. E 56, 7017 (1997).
14. A. I. M. Denneman, R. J. J. Jongschaap, and J. Mellema, J. Rheol. 43, 327 (1999).
15. A. I. M. Denneman, R. J. J. Jongschaap, and J. Mellema, J. Chem. Phys. 111, 8182 (1999).
16. A. A. Gurtovenko and Yu. Ya. Gotlib, Macromolecules 31, 5756 (1998).
17. A. A. Gurtovenko and Yu. Ya. Gotlib. Macromolecules 33, 6578 (2000).
18. A. A. Gurtovenko and A. Blumen, J. Chem. Phys. 115, 4924 (2001).
19. A. Blumen and A. Jurjiu, J. Chem. Phys. 116, 2636 (2002).
20. M. E. Cates, Phys. Rev. Lett. 53, 926 (1984).
21. M. E. Cates, J. Phys. (France) 46, 1059 (1985).
22. T. T. Perkins, D. E. Smith, R. G. Larson, and S. Chu, Science 268, 83 (1995).
23. D. Wirtz, Phys. Rev. Lett. 75, 2436 (1995).
24. S. R. Quake, H. Babcock, and S. Chu, Nature (London) 388, 151 (1997).
25. F. Amblard, A. C. Maggs, B. Yurke, A. N. Pergellis, and S. Leibler, Phys. Rev. Lett. 77, 4470 (1996).
26. J. W. Hatfield and S. R. Quake, Phys. Rev. Lett. 82, 3548 (1999).
27. E. Helfer, S. Harlepp, L. Bourdieu, J. Robert, F. C. MacKintosh, and D. Chatenay, Phys. Rev. Lett. 85, 457 (2000).
28. H. Schiessel, Phys. Rev. E 57, R5775 (1998).
29. P. Biswas, R. Kant, and A. Blumen, Macromol. Theory Simul. 9, 56 (2000).
30. J.-U. Sommer and A. Blumen, J. Phys. A 28, 6669 (1995).
31. G. Allegra and F. Ganazzoli, Prog. Polym. Sci. 16, 463 (1991).
32. A. Klockzkowski, J. E. Mark, and H. L. Frisch, Macromolecules 23, 3481 (1990).
33. J. G. Kirkwood and J. Riseman, J. Chem. Phys. 16, 565 (1948).
34. J. Rotne and S. Prager, J. Chem. Phys. 50, 4831 (1969).
35. R. La Ferla, J. Chem. Phys. 106, 688 (1997).
36. P. Biswas, R. Kant, and A. Blumen, J. Chem. Phys. 114, 2430 (2001).
37. C. von Ferber and A. Blumen, J. Chem. Phys. 116, 8616 (2002).
38. H. Schiessel, Ch. Friedrich, and A. Blumen, in Applications of Fractional Calculus in Physics, edited by R. Hilfer (World Scientific, Singapore, 2000), p. 331.
39. Ch. Friedrich, H. Schiessel, and A. Blumen, in Advances in the Flow and Rheology of Non-Newtonian Fluids, edited by D. A. Siginer, D. McKee, and R. P. Chhabra (Elsevier, Amsterdam, 1999).
40. R. Kant, P. Biswas, and A. Blumen, Macromol. Theory Simul. 9, 608 (2000).
41. J. Klafter and A. Blumen, J. Chem. Phys. 80, 875 (1984).
42. R. H. Colby, J. R. Gillmor, and M. Rubinstein, Phys. Rev. E 48, 3712 (1993).
43. M. Rubinstein and R. H. Colby, Macromolecules 27, 3184 (1994).
44. G. Heinrich and T. A. Vilgis, Europhys. Lett. 25, 175 (1994).
45. H. L. Trautenberg, J.-U. Sommr, and D. Göritz, J. Chem. Soc., Faraday Trans. 91, 2649 (1995).
46. G. Huber, T. A. Vilgis, and G. Heinrich, J. Phys. C 8, L409 (1996).
47. S. Lay, J.-U. Sommer, and A. Blumen, J. Chem. Phys. 110, 12173 (1999).
48. R. Granek and J. Klafter, Europhys. Lett. 56, 15 (2001).
49. I. M. Ward, Mechanical Properties of Solid Polymers, 2nd ed. (Wiley, Chichester, 1985).
50. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
51. A. Jurjiu, Ch. Friedrich, and A. Blumen, Chem. Phys. 284, 221 (2002).
52. M. G. Cosenza and R. Kapral, Phys. Rev. A 46, 1850 (1992).
53. P. Licinio, Physica A 294, 51 (2001).
54. J.-U. Sommer, T. A. Vilgis, and G. Heinrich, J. Chem. Phys. 100, 9181 (1994).
55. T. A. Vilgis and M. Stapper, Eur. Phys. J. B 2, 69 (1998).
56. A. G. Zilman and R. Granek, Phys. Rev. E 58, R2725 (1998).
57. B. T. Smith, J. M. Boyle, J. J. Donggara, B. S. Garbow, Y. Ikebe, V. C. Klema, and C. B. Moler, Matrix Eigensystem Routines - EISPACK Guide, Lecture Notes in Computer Science, Vol. 6 (Springer, Berlin, 1976).
58. B. S. Garbow, J. M. Boyle, J. J. Dongarra, and C. B. Moler, Matrix Eigensystem Routines - EISPACK Guide Extension, Lecture Notes in Computer Science, Vol. 51 (Springer, Berlin, 1977).
59. J. Bunch, J. Dongarra, C. Moler, and G. W. Stewart, LINPACK User's Guide (SIAM, Philadelphia, 1979).