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Titolo:
Moment scaling at the sol-gel transition
Autore:
Botet, R; Ploszajczak, M;
Indirizzi:
Univ Paris Sud, Ctr Orsay, Lab Phys Solide, CNRS, F-91405 Orsay, France Univ Paris Sud Orsay France F-91405 Solide, CNRS, F-91405 Orsay, France Grand Accelerateur Natl Ions Lourds, CEA, DSM, CNRS,IN2P3, F-14021 Caen, France Grand Accelerateur Natl Ions Lourds Caen France F-14021 021 Caen, France
Titolo Testata:
JOURNAL OF SOL-GEL SCIENCE AND TECHNOLOGY
fascicolo: 2, volume: 15, anno: 1999,
pagine: 167 - 174
SICI:
0928-0707(199908)15:2<167:MSATST>2.0.ZU;2-0
Fonte:
ISI
Lingua:
ENG
Soggetto:
MULTIPLICITY; KINETICS; GELATION; EVENTS;
Keywords:
sol-gel transition; percolation; scaling laws; Smoluchowski; phase transition;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
29
Recensione:
Indirizzi per estratti:
Indirizzo: Botet, R Univ Paris Sud, Ctr Orsay, Lab Phys Solide, CNRS, Batiment 510, F-91405 Orsay, France Univ Paris Sud Batiment 510 Orsay France F-91405 5 Orsay, France
Citazione:
R. Botet e M. Ploszajczak, "Moment scaling at the sol-gel transition", J SOL-GEL S, 15(2), 1999, pp. 167-174

Abstract

Two standard models of sol-gel transition are revisited here from the point of view of their fluctuations in various moments of both the mass-distribution and the gel-mass. Bond-percolation model is an at-equilibrium system and undergoes a static second-order phase transition, while Monte-Carlo Smoluchowski model is an off-equilibrium one and shows a dynamical critical phenomenon. We show that the macroscopic quantities can be splitted into the three classes with different scaling properties of their fluctuations, depending on whether they correspond to: (i) noncritical quantities, (ii) critical quantities or to (iii) an order parameter. All these three scaling properties correspond to a single form: [M]P-delta(M) = Phi((M - [M])/[M](delta)), with the values of delta respectively: = 1/2 (regime (i)), not equal 1/2 and 1 (regime (ii)), and = 1 (regime (iii)). These new scalings are very robust and, in particular, they do not depend on the precise form of an Hamiltonian.

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Documento generato il 23/09/20 alle ore 09:39:02