Dynamics of randomly branched polymers: Configuration averages and solvable models

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

Volumn 68, Issue 5 1, 2003, Pages 511061-5110612

  Jasch, F ^a   Von Ferber, Ch ^a   Blumen, A ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL BONDS; DENDRIMERS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; MOLECULAR STRUCTURE; MONOMERS; PROBABILITY DENSITY FUNCTION; VISCOSITY;

GENERALIZED GAUSSIAN STRUCTURES (GGS); MECHANICAL MODULI;

POLYMERS;

EID: 0942300123     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. C. Cai and Z.Y. Chen, Macromolecules 30, 5104 (1997).
2. Z.Y. Chen and C. Cai, Macromolecules 32, 5423 (1999).
3. F. Ganazzoli, R. La Ferla, and G. Raffaini, Macromolecules 34, 4222 (2001).
4. A.A. Gurtovenko and A. Blumen, J. Chem. Phys. 115, 4924 (2001).
5. P. Biswas, R. Kant, and A. Blumen, Macromol. Theory Simul. 9, 56 (2000).
6. P. Biswas, R. Kant, and A. Blumen, J. Chem. Phys. 114, 2430 (2001).
7. C. von Ferber and A. Blumen, J. Chem. Phys. 116, 8616 (2002).
8. R.L. Ferla, J. Chem. Phys. 106, 688 (1997).
9. R. Kant, P. Biswas, and A. Blumen, Macromol. Theory Simul. 9, 608 (2000).
10. A.A. Gurtovenko, Y.Y. Gotlib, and A. Blumen, Macromolecules 35, 7481 (2002).
11. J. Roovers, in Star and Hyperbranched Polymers, edited by M. K. Mishra and S. Kobayashi (Marcel Dekker, New York, 1996).
12. J. Roovers and B. Comanita, Adv. Polym. Sci. 142, 179 (1999).
13. W. Burchard, Adv. Polym. Sci. 143, 113 (1999).
14. J.J. Freire, Adv. Polym. Sci. 143, 35 (1999).
15. D.A. Tomalia, A.M. Naylor, and W.A. Goddard, Angew. Chem., Int. Ed. Engl. 29, 138 (1990).
16. M.C. Moreno-Bondi, G. Prelana, N.J. Turro, and D. Tomalia, Macromolecules 23, 910 (1990).
17. C.J. Hawker and J.M.J. Fréchet, J. Am. Chem. Soc. 112, 7638 (1990).
18. C.J. Hawker and J.M.J. Fréchet, Macromolecules 23, 4726 (1990).
19. G. R. Newkome, Advances in Dendritic Macromolecules (JAI Press, London, 1996).
20. J.M.J. Fréchet, Science 263, 1710 (1994).
21. R. Yin, Y. Zhu, and D.A. Tomalia, J. Am. Chem. Soc. 120, 2678 (1998).
22. V. Percee, C.H. Ahn, G. Ungar, DJ.P. Yeardly, M. Möller, and S.S. Sheiko, Nature (London) 391, 161 (1998).
23. J. Kemp and Z.Y. Chen, Phys. Rev. E 56, 7017 (1997).
24. Y. Kim and A.B. Harris, Phys. Rev. B 31, 7393 (1985).
25. A.J. Bray and G.J. Rodgers, Phys. Rev. B 37, 3557 (1988).
26. K. Broderix, T. Aspelmeier, A.K. Hartmann, and A. Zippelius, Phys. Rev. E 64, 021404 (2001).
27. G. Grimmet, Percolation (Springer-Verlag, New York, 1989).
28. M.E. Fisher and J.W. Essam, J. Math. Phys. 2, 609 (1961).
29. D. Ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, 2000).
30. J.-U. Sommer and A. Blumen, J. Phys. A 28, 6669 (1995).
31. P.E. Rouse, J. Chem. Phys. 21, 1272 (1953).
32. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
33. H. Yamakawa, Modern Theory of Polymer Solutions (Harper and Row, New York, 1971).
34. M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1986).
35. M. Le Bellac, Quantum and Statistical Field Theory (Clarendon Press, Oxford, 1997).
36. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1990).
37. J. H. Wilkinson and C. Reinsch, Linear Algebra, Handbook for Automatic Computation (Springer, New York, 1971), Vol. 2.
38. I.M. Sokolov, S. Jespersen, and A. Blumen, J. Chem. Phys. 113, 7652 (2002).
39. M.J. Stephen, Phys. Rev. B 17, 4444 (1978).
40. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals Series and Products (Academic Press, San Diego, 1980).