Dynamics of semiflexible regular hyperbranched polymers

Journal of Chemical Physics

Volumn 138, Issue 3, 2013, Pages

  Fürstenberg, Florian ^a   Dolgushev, Maxim ^a   Blumen, Alexander ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLETE SETS; DIAGONALIZATIONS; EIGENVALUES; HYPERBRANCHED POLYMERS; ITERATIVE CONSTRUCTION; LARGE PARTS; LOSS MODULI;

DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FRACTALS;

DENDRIMERS;

POLYMER;

ARTICLE; CHEMICAL STRUCTURE; CHEMISTRY; QUANTUM THEORY;

MODELS, MOLECULAR; POLYMERS; QUANTUM THEORY;

MLCS; MLOWN;

EID: 84872800203     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4775584     Document Type: Article

References (40)

1. A. A. Gurtovenko and A. Blumen, Adv. Polym. Sci. 182, 171 (2005). 10.1007/b135561
2. C. Cai and Z. Y. Chen, Macromolecules 30, 5104 (1997). 10.1021/ma970059z
3. R. La Ferla, J. Chem. Phys. 106, 688 (1997). 10.1063/1.473405
4. C. von Ferber and A. Blumen, J. Chem. Phys. 116, 8616 (2002). 10.1063/1.1470198
5. A. A. Gurtovenko, Y. Y. Gotlib, and A. Blumen, Macromolecules 35, 7481 (2002). 10.1021/ma0204507
6. A. A. Gurtovenko, D. A. Markelov, Y. Y. Gotlib, and A. Blumen, J. Chem. Phys. 119, 7579 (2003). 10.1063/1.1606675
7. A. Blumen and A. Jurjiu, J. Chem. Phys. 116, 2636 (2002). 10.1063/1.1433744
8. A. Blumen, A. Jurjiu, T. Koslowski, and C. von Ferber, Phys. Rev. E 67, 061103 (2003). 10.1103/PhysRevE.67.061103
9. A. Jurjiu, T. Koslowski, C. von Ferber, and A. Blumen, Chem. Phys. 294, 187 (2003). 10.1016/j.chemphys.2003.07.006
10. A. Blumen, C. von Ferber, A. Jurjiu, and T. Koslowski, Macromolecules 37, 638 (2004). 10.1021/ma034553g
11. A. Jurjiu, A. Volta, and T. Beu, Phys. Rev. E 84, 011801 (2011). 10.1103/PhysRevE.84.011801
12. M. Galiceanu, Phys. Rev. E 86, 041803 (2012). 10.1103/PhysRevE.86.041803
13. P. Biswas, R. Kant, and A. Blumen, J. Chem. Phys. 114, 2430 (2001). 10.1063/1.1334660
14. A. Kumar and P. Biswas, Macromolecules 43, 7378 (2010). 10.1021/ma101142z
15. A. Kumar and P. Biswas, J. Chem. Phys. 134, 214901 (2011). 10.1063/1.3598336
16. A. Kumar and P. Biswas, J. Chem. Phys. 137, 124903 (2012). 10.1063/1.4754871
17. M. Dolgushev and A. Blumen, Macromolecules 42, 5378 (2009). 10.1021/ma9003049
18. M. Dolgushev, G. Berezovska, and A. Blumen, Macromol. Theory Simul. 20, 621 (2011). 10.1002/mats.201100049
19. C. S. Jayanthi, S. Y. Wu, and J. Cocks, Phys. Rev. Lett. 69, 1955 (1992). 10.1103/PhysRevLett.69.1955
20. C. S. Jayanthi and S. Y. Wu, Phys. Rev. B 48, 10199 (1993). 10.1103/PhysRevB.48.10199
21. C. S. Jayanthi and S. Y. Wu, Phys. Rev. B 48, 10188 (1993). 10.1103/PhysRevB.48.10188
22. C. S. Jayanthi and S. Y. Wu, Phys. Rev. B 50, 897 (1994). 10.1103/PhysRevB.50.897
23. Z. Zhang, S. Zhou, L. Chen, M. Yin, and J. Guan, J. Phys. A: Math. Theor. 41, 485102 (2008). 10.1088/1751-8113/41/48/485102
24. B. Wu, Y. Lin, Z. Zhang, and G. Chen, J. Chem. Phys. 137, 044903 (2012). 10.1063/1.4737635
25. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953). 10.1063/1.1699180
26. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
27. M. Dolgushev and A. Blumen, J. Chem. Phys. 131, 044905 (2009). 10.1063/1.3184797
28. M. Bixon and R. Zwanzig, J. Chem. Phys. 68, 1896 (1978). 10.1063/1.435916
29. R. G. Winkler, P. Reineker, and L. Harnau, J. Chem. Phys. 101, 8119 (1994). 10.1063/1.468239
30. F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 136, 154904 (2012). 10.1063/1.3703757
31. B. I. Voit and A. Lederer, Chem. Rev. 109, 5924 (2009). 10.1021/cr900068q
32. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1988).
33. C. Friedrich, H. Schiessel, and A. Blumen, Advances in the Flow and Rheology of Non-Newtonian Fluids, edited by, D. A. Siginer, D. DeKee, and, R. P. Chhabra, (Elsevier, Amsterdam, 1999), Vol. 8, p. 429.
34. H. Schiessel, C. Friedrich, and A. Blumen, Applications of Fractional Calculus in Physics, edited by, R. Hilfer, (World Scientific, Singapore, 2000), p. 331.
35. I. M. Sokolov, J. Klafter, and A. Blumen, Phys. Today 55 (11), 48 (2002). 10.1063/1.1535007
36. H. Schiessel, Phys. Rev. E 57, 5775 (1998). 10.1103/PhysRevE.57.5775
37. S. Reuveni, J. Klafter, and R. Granek, Phys. Rev. E 85, 011906 (2012). 10.1103/PhysRevE.85.011906
38. S. Reuveni, J. Klafter, and R. Granek, Phys. Rev. Lett. 108, 068101 (2012). 10.1103/PhysRevLett.108.068101
39. N. Biggs, Algebraic Graph Theory, 2nd ed. (Cambridge University Press, Cambridge, England, 1993).
40. J. C. Mason and D. C. Handscomb, Chebyshev Polynomials (Chapman and Hall, London, 2003).