Dangling bond deflection model: Growth of gel network with loop structure

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 4, 2002, Pages 10-

  Ma, Hang Shing ^a   Jullien, Rémi ^b   Scherer, George W ^a  

^a Princeton University   (United States)

^b UNIVERSITÉ MONTPELLIER 2   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED-LOOP STRUCTURES; CLUSTERS; GEL NETWORKS; SCALING RELATIONS;

CHEMICAL BONDS; DENSITY (SPECIFIC GRAVITY); FINITE ELEMENT METHOD; FRACTALS; GEOMETRY; MATHEMATICAL MODELS; STIFFNESS;

GELS;

ARTICLE;

EID: 37649030920     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.041403     Document Type: Article

References (24)

1. C. J. Brinker and G. W. Scherer, Sol-Gel Science (Academic, San Diego, 1990).
2. G. C. Ruben, L. W. Hrubesh, and T. M. Tillotson, J. Non-Cryst. Solids 186, 209 (1995).
3. G. W. Scherer, D. M. Smith, and D. Stein, J. Non-Cryst. Solids 186, 309 (1995).
4. D. Stauffer, Introduction to Percolation Theory (Taylor & Francis, Philadelphia, 1985).
5. T. Woignier, J. Phalippou, H. Hdach, G. Larnac, F. Pernot, and G. W. Scherer, J. Non-Cryst. Solids 147&148, 672 (1992).
6. P. Meakin, Phys. Rev. Lett. 51, 1119 (1983).
7. M. Kolb, R. Botet, and R. Jullien, Phys. Rev. Lett. 51, 1123 (1983).
8. R. Jullien and M. Kolb, J. Phys. A 17, L639 (1984).
9. W. Y. Shih, I. A. Aksay, and R. Kikuchi, Phys. Rev. A 36, 5015 (1987).
10. P. Meakin, J. Sol-Gel Sci. Technol. 15, 97 (1999).
11. R. Jullien and R. Botet, Aggregation and Fractal Aggregates (World Scientific, Singapore, 1987).
12. H.-S. Ma, J.-H. Prévost, R. Jullien, and G. W. Scherer, J. Non-Cryst. Solids 277, 127 (2000).
13. J. D. LeMay, in Mechanical Properties of Porous and Cellular Materials, edited by K. Sieradzki, D. J. Green, and L. J. Gibson, Mater. Res. Soc. Symp. Proc. No. 207 (Materials Research Society, Pittsburgh, 1991), p. 21.
14. R. Jullien and A. Hasmy, Phys. Rev. Lett. 74, 4003 (1995).
15. A. Hasmy, É. Anglaret, R. Thouy, and R. Jullien, J. Phys. I 7, 521 (1997).
16. A. Hasmy, E. Anglaret, M. Foret, J. Pelous, and R. Jullien, Phys. Rev. B 50, 6006 (1994).
17. R. Vacher, T. Woignier, J. Pelous, and E. Courtens, Phys. Rev. B 37, 6500 (1988).
18. A. Hasmy, M. Foret, J. Pelous, and R. Jullien, Phys. Rev. B 48, 9345 (1993).
19. J.-F. Gouyet, Physics and Fractal Structures (Springer-Verlag, New York, 1996) Chap. 5.
20. S. Alexander and R. Orbach, J. Phys. Lett. 43, 625 (1982).
21. R. Thouy, R. Jullien, and C. Benoit, J. Phys.: Condens. Matter 7, 9703 (1995).
22. H.-S. Ma, J.-H. Prévost, R. Jullien, and G. W. Scherer, J. Non-Cryst. Solids 285, 216 (2001).
23. P. W. Atkins, Physical Chemistry, 4th ed. (Oxford University Press, Oxford, London, 1990).
24. R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena (Wiley, New York, 1960).