Moment scaling at the sol - gel transition
| dc.creator | Botet, R. | |
| dc.creator | Ploszajczak, M. | |
| dc.date | 1999-01-22 | |
| dc.date.accessioned | 2026-07-07T03:12:41Z | |
| dc.date.available | 2026-07-07T03:12:41Z | |
| dc.description | Two standard models of sol-gel transition are revisited here from the point of view of their fluctutations 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 wheather they correspond to : (i) non-critical quantities, (ii) critical quantities or to (iii) an order parameter. All these three scaling properties correspond to a single form : $<M>^δ P(M) = Φ((M-<M>)/<M>^δ)$, with the values of $δ$ respectively : =1/2 (regime (i)), \neq 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. | |
| dc.description | 11 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9901244 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9901244 | |
| dc.identifier | J. of Sol-Gel Science and Technology 15 (1999) 167-174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29002 | |
| dc.subject | Condensed Matter | |
| dc.title | Moment scaling at the sol - gel transition | |
| dc.type | text |