Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-26T03:43:09.175Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamics of Sol-Gel Clusters and Branched Polymers

Published online by Cambridge University Press:  21 March 2011

A. G. Zilman  and
R. Granek
A. G. Zilman
Affiliation:
Department of Materials and Interfaces Weizmann Institute of Science Rehovot 76100, Israel
R. Granek
Affiliation:
Department of Materials and Interfaces Weizmann Institute of Science Rehovot 76100, Israel
Get access

Abstract

We study the dynamics of sol-gel clusters. We find that the dynamic structure factor decays in time as a stretched exponential, and the viscoelastic modulus is an algebraic function of time. The difference beween screened and non-screened systems in the context of cluster dynamics is discussed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 651: Symposium T – Dynamics in Small Confining Systems V , 2000 , T1.6.1
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Gennes, P.-G. de, Scaling Concepts in Polymer Physics (Cornell Uni., Ithaca, N.Y., 1979).Google Scholar
[2] Doi, M. and Edwards, S. F., The Theory of Polymer Dynamics (Clarendon, Oxford, 1986), pp. 97–103.Google Scholar
[3] Daoud, M. et al., J. Physique Lett. 45, L–199 (1984); M. Daoud and L. Leibler, Macromolecules 21, 1497 (1988).Google Scholar
[4] Cates, M. E., J. Physique 46, 1059 (1985).Google Scholar
[5] Martin, J. E. et al., Phys. Rev. A 39, 1325 (1989).Google Scholar
[6] Stauffer, D. and Aharony, A., Introduction to Percolation Theory, Second Edition (Taylor & Francis, London, 1992).Google Scholar
[7] Adam, M. et al., Macromolecules 30, 5920 (1997).Google Scholar
[8] Martin, J. E. et al., Phys. Rev. A 43, 858 (1991), Sec. IV;Google Scholar
[9] Aronovitz, J. A. and Lubensky, T. C., Europhys. Lett. 4, 395 (1987).Google Scholar
[10] Kantor, Y., in Statistical Mechanics of Membranes and Surfaces, eds. Nelson, D. et al. (World Scientific, Singapore, 1989).Google Scholar
[11] Alexander, S. and Orbach, R., J. Physique Lett. 43, L–625 (1982); Rammal, R. and Toulouse, G., J. Physique Lett. 44, L–13 (1983).Google Scholar
[12] Blumen, A. et al., in Optical Spectroscopy of Glasses, ed. Zschokke, I. (Reidel, Dordrecht, 1986), pp. 199, and references therein.Google Scholar
[13] Ref. [2], pp. 88–89.Google Scholar
[14] Ref. [2], pp. 132–135.Google Scholar
[15] Wiese, K. J., Eur. Phys. J. B 1, 273 (1998);ibid, 269 (1998).Google Scholar
[16] Gennes, P.-G. de, Macromolecules 9, 587 (1986).Google Scholar
[17] Havlin, S., Ben-Avraham, D., Adv. Phys, 36 (1987), 695.Google Scholar
[18] Daoud, M., J. Phys (France) 51 (1990), 2843 Google Scholar
[19] Lapp, A. et al., J. Phys II 2 (1992), 1495 Google Scholar
[20] Rubinstein, M. et al, in Space-Time Organization in Macromolecular Fluids (1990) p.66.Google Scholar
[21] Zilman, A. G., Granek, R., Phys. Rev. E 58 (3) (1998), R2725.Google Scholar