Universal features of the order-parameter fluctuations: Reversible and irreversible aggregation

Citation
R. Botet et M. Ploszajczak, Universal features of the order-parameter fluctuations: Reversible and irreversible aggregation, PHYS REV E, 62(2), 2000, pp. 1825-1841
Citations number
50
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
2
Year of publication
2000
Part
A
Pages
1825 - 1841
Database
ISI
SICI code
1063-651X(200008)62:2<1825:UFOTOF>2.0.ZU;2-G
Abstract
We discuss the universal scaling laws of order-parameter fluctuations in an y system in which a second-order critical behavior can be identified. These scaling laws can be derived rigorously for equilibrium systems when combin ed with a finite-size scaling analysis. The relation between the order para meter, the criticality, and the scaling law of fluctuations has been establ ished, and the connection between the scaling function and the critical exp onents has been found. We give examples in out-of-equilibrium aggregation m odels such as the Smoluchowski kinetic equations, or at-equilibrium Ising a nd percolation models.