Relaxation dynamics of a polymer network modeled by a multihierarchical structure

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 1, 2011, Pages

  Jurjiu, A ^a   Volta, A ^b,c   Beu, T ^a  

^a BABE BOLYAI UNIVERSITY   (Romania)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c ARPA SIMC   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONNECTIVITY MATRIX; DIAGONALIZATIONS; DIFFERENT SLOPES; DYNAMICAL RELAXATION; EIGENVALUE SPECTRA; EXTERNAL FORCE; GENERALIZED GAUSSIAN; GROWTH ALGORITHMS; LOSS MODULI; MULTI-HIERARCHICAL; POLYMER NETWORKS; RELAXATION DYNAMICS; SCALING BEHAVIOR;

EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS;

FRACTALS;

EID: 79961105718     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.011801     Document Type: Article

References (48)

1. P. E. Rouse, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699180 21, 1272 (1953).
2. B. H. Zimm, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1742462 24, 269 (1956).
3. B. Ewen and D. Richter, Adv. Polym. Sci. JCPSA6 0065-3195 10.1007/3-540-68449-2-1 134, 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 (American Institue of Physics, New York, 1994).
6. J. Roovers and B. Comanita, Adv. Polym. Sci. JCPSA6 0065-3195 10.1007/3-540-68310-0-4 142, 179 (1999).
7. J. Roovers, in Star and Hyperbranched Polymers, edited by, M. K. Mishra, and, S. Kobayashi, (Dekker, New York, 1999), p. 285.
8. P. Biswas, R. Kant, and A. Blumen, Macromol. Theory Simul. MTHSEK 1022-1344 10.1002/(SICI)1521-3919(20000101)9:1<56::AID-MATS56>3.0.CO;2-N 9, 56 (2000).
9. R. Kant, P. Biswas, and A. Blumen, Macromol. Theory Simul. MTHSEK 1022-1344 10.1002/1521-3919(20001101)9:8<608::AID-MATS608>3.0.CO;2-2 9, 608 (2000).
10. P. Biswas, R. Kant, and A. Blumen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1334660 114, 2430 (2001). (Pubitemid 32873133)
11. J. Kemp and Z. Y. Chen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.56.7017 56, 7017 (1997).
12. C. Cai and Z. Y. Chen, Macromol. MAMOBX 0024-9297 10.1021/ma970059z 30, 5104 (1997).
13. Z. Y. Chen and C. Cai, Macromol. MAMOBX 0024-9297 10.1021/ma990018y 32, 5423 (1999).
14. W. Burchard, Adv. Polym. Sci. MAMOBX 0065-3195 10.1007/3-540-49780-3-3 143, 113 (1999).
15. J. J. Freire, Adv. Polym. Sci. MAMOBX 0065-3195 10.1007/3-540-49780-3-2 143, 35 (1999).
16. F. Ganazzoli, R. La Ferla, and G. Raffaini, Macromol. MAMOBX 0024-9297 10.1021/ma001613z 34, 4222 (2001). (Pubitemid 34216870)
17. C. von Ferber and A. Blumen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1470198 116, 8616 (2002). (Pubitemid 34599860)
18. C. S. Jayanthi, S. Y. Wu, and J. Cocks, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1955 69, 1955 (1992).
19. C. S. Jayanthi and S. Y. Wu, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.50.897 50, 897 (1994).
20. A. Blumen, A. Jurjiu, Th. Koslowski, and Ch. von Ferber, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.061103 67, 061103 (2003).
21. A. Blumen, Ch. von Ferber, A. Jurjiu, and Th. Koslowski, Macromolecules MAMOBX 0024-9297 10.1021/ma034553g 37, 638 (2004).
22. A. Volta, M. Galiceanu, and A. Jurjiu, J. Phys. A MAMOBX 1751-8113 10.1088/1751-8113/43/10/105205 43, 105205 (2010).
23. A. A. Gurtovenko and A. Blumen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1395562 115, 4924 (2001). (Pubitemid 32902744)
24. S. Jespersen, I. M. Sokolov, and A. Blumen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1312277 113, 7652 (2000). (Pubitemid 32021268)
25. A. Blumen, A. A. Gurtovenko, and S. Jespersen, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(02)01123-7 305, 71 (2002). (Pubitemid 34552116)
26. A. A. Gurtovenko and A. Blumen, Adv. Polym. Sci. JNCSBJ 3540-2554 10.1007/b135561 182, 171 (2005).
27. M. Galiceanu and A. Blumen, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/6/065122 19, 065122 (2007). (Pubitemid 46478499)
28. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
29. J.-U. Sommer and A. Blumen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/23/018 28, 6669 (1995).
30. H. Schiessel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57.5775 57, R5775 (1998).
31. Fractals and Disordered Systems, edited by, A. Bunde, and, S. Havlin, (Springer-Verlag, Berlin, 1996).
32. A. Blumen and A. Jurjiu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1433744 116, 2636 (2002). (Pubitemid 34168001)
33. A. Jurjiu, C. Friedrich, and A. Blumen, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(02)00550-5 284, 221 (2002).
34. A. Jurjiu, T. Koslowski, C. von Ferber, and A. Blumen, Chem. Phys. CMPHC2 0301-0104 10.1016/j.chemphys.2003.07.006 294, 187 (2003).
35. A. Blumen, A. Volta, A. Jurjiu, and T. Koslowski, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.05.005 356, 12 (2005). (Pubitemid 41164301)
36. G. Allegra and F. Ganazzoli, Adv. Chem. Phys. PHYADX 0065-2385 10.1002/9780470141243.ch5 75, 265 (1989).
37. H. Schiessel, C. Friedrich, and A. Blumen, in Applications of Fractional Calculus in Physics edited by, R. Hilfer, (World Scientific, Singapore, 2000), p. 331.
38. I. M. Ward, Mechanical Properties of Solid Polymers, 2nd ed. (Wiley, Chichester, 1985).
39. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
40. T. T. Perkins, D. E. Smith, R. G. Larson, and S. Chu, Science SCIEAS 0036-8075 10.1126/science.7701345 268, 83 (1995).
41. D. Wirtz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2436 75, 2436 (1995).
42. S. R. Quake, H. Babcock, and S. Chu, Nature (London) NATUAS 0028-0836 10.1038/40588 388, 151 (1997). (Pubitemid 27297446)
43. F. Amblard, A. C. Maggs, B. Yurke, A. N. Pergellis, and S. Leibler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4470 77, 4470 (1996).
44. J. W. Hatfield and S. R. Quake, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3548 82, 3548 (1999).
45. E. Helfer, S. Harlepp, L. Bourdieu, J. Robert, F. C. MacKintosh, and D. Chatenay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.457 85, 457 (2000).
46. M. G. Cosenza and R. Kapral, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.1850 46, 1850 (1992).
47. I. N. Bronstein and K. A. Semendjajev, Taschenbuch der Mathematik (Nauka and Teubner, Moscow and Leipzig, 1985), Chap. 2.4.2.
48. A. Jurjiu, Th. Koslowski, and A. Blumen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1534576 118, 2398 (2003).