Moment scaling at the sol-gel transition

Journal of Sol-Gel Science and Technology

Volumn 15, Issue 2, 1999, Pages 167-174

  Botet, Robert ^a   Płoszajczak, Marek ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b CENTRE DE CALCUL DE L INSTITUT NATIONAL DE PHYSIQUE NUCLEAIRE ET DE PHYSIQUE DES PARTICULES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GELS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PERCOLATION (FLUIDS); PHASE EQUILIBRIA; SOLS;

BOND PERCOLATION MODEL; CRITICAL QUANTITIES; GEL MASS; MASS DISTRIBUTION; MOMENT SCALING; MONTE CARLO-SMOLUCHOWSKI; NONCRITICAL QUANTITIES; ORDER PARAMETER; SOL-GEL TRANSITION; STATIC SECOND ORDER PHASE TRANSITION;

PHASE TRANSITIONS;

EID: 0032669467     PISSN: 09280707     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008743606808     Document Type: Article

References (28)

1. D. Stauffer, Introduction to Percolation Theory (Taylor and Francis, London and Philadelphia, Penn., 1985); and references therein.
2. P.G. de Gennes, J. Phys. Lett. (Paris) L37, 1 (1976); D. Stauffer, J. Chem. Soc., Faraday Trans. II 72, 1354 (1976).
3. P.G. de Gennes, J. Phys. Lett. (Paris) L37, 1 (1976); D. Stauffer, J. Chem. Soc., Faraday Trans. II 72, 1354 (1976).
4. M. von Smoluchowski, Z. Phys. Chem. 92, 129 (1917); R.L. Drake, in Topics in Current Aerosol Research, edited by G.M. Hidy and J.R. Brock (Pergamon Press, NY, 1972), Vol. 3.
5. M. von Smoluchowski, Z. Phys. Chem. 92, 129 (1917); R.L. Drake, in Topics in Current Aerosol Research, edited by G.M. Hidy and J.R. Brock (Pergamon Press, NY, 1972), Vol. 3.
6. W.H. Stockmayer, J. Chem. Phys. 11, 45 (1943); 12, 125 (1944); P.J. Flory, Principles of Polymer Chemistry (Cornell University, Ithaca, 1953).
7. W.H. Stockmayer, J. Chem. Phys. 11, 45 (1943); 12, 125 (1944); P.J. Flory, Principles of Polymer Chemistry (Cornell University, Ithaca, 1953).
8. W.H. Stockmayer, J. Chem. Phys. 11, 45 (1943); 12, 125 (1944); P.J. Flory, Principles of Polymer Chemistry (Cornell University, Ithaca, 1953).
9. S. Simons, J. Phys. A 19, L901 (1986).
10. F. Leyvraz and H.R. Tschudi, J. Phys. A 14, 3389 (1981); R.M. Ziff, E.M. Hendriks, and M.H. Ernst, Phys. Rev. Lett. 49, 593 (1981).
11. F. Leyvraz and H.R. Tschudi, J. Phys. A 14, 3389 (1981); R.M. Ziff, E.M. Hendriks, and M.H. Ernst, Phys. Rev. Lett. 49, 593 (1981).
12. R.M. Ziff, M.H. Ernst, and E.M. Hendriks, J. Phys. A 16, 2293 (1983).
13. M.E. Fisher and J.W. Essam, J. Math. Phys. 2, 609 (1961).
14. D. Stauffer, Phys. Rep. 54, 1 (1979).
15. A. Einstein, Ann. Physik 19, 371 (1906).
16. L.S. Ornstein and S. Zernike, Proc. Acad. Sci. Amsterdam 17, 793 (1914).
17. Z. Koba, H.B. Nielsen, and P. Olesen, Nucl. Phys. B40, 317 (1972); A.M. Polyakov, Sov. Phys. JETP 32, 296 (1971); ibid. 33, 850 (1971).
18. Z. Koba, H.B. Nielsen, and P. Olesen, Nucl. Phys. B40, 317 (1972); A.M. Polyakov, Sov. Phys. JETP 32, 296 (1971); ibid. 33, 850 (1971).
19. Z. Koba, H.B. Nielsen, and P. Olesen, Nucl. Phys. B40, 317 (1972); A.M. Polyakov, Sov. Phys. JETP 32, 296 (1971); ibid. 33, 850 (1971).
20. R. Botet, M. Ploszajczak, and V. Latora, Phys. Rev. Lett. 78, 4593 (1997).
21. R. Jullien and R. Botet, Aggregation and Fractal Aggregates (World Scientific, Singapore, 1987).
22. R. Botet and M. Ploszajczak, to be published.
23. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.
24. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.
25. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.
26. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.
27. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.
28. P. Abreu et al. (DELPHI Collaboration), Phys. Lett. B 416, 233 (1998); M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 371, 137 (1996); G. Alexander et al. (OPAL Collaboration), Z. Phys. C 72, 191 (1996); (L3 Collaboration), CERN-PPE/97-42; (OPAL Collaboration), CERN-PPE/97-15; P. Abreu, in Proc. 27th Int. Symp. on Multiparticle Dynamics, edited by G. Capon, V.A. Khoze, G. Pancheri, and A. Sansoni, Frascati, 1997; Nucl. Phys. B 71 (Proc. Suppl.), 164 (1999); P. Abreu et al. (DELPHI Collaboration), in Proc. ICHEP'98 Conf., Vancouver, 1998; DELPHI 98-16 CONF 117.