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
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.