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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2000

Universal features of the order-parameters fluctuations: reversible and irreversible aggregation

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Abstract

We discuss the universal scaling laws of order parameter fluctuations in any system in which the second-order critical behaviour can be identified. These scaling laws can be derived rigorously for equilibrium systems when combined with the finite-size scaling analysis. The relation between order parameter, criticality and scaling law of fluctuations has been established and the connexion between the scaling function and the critical exponents has been found. We give examples in out-of-equilibrium aggregation models such as the Smoluchowski kinetic equations, or of at-equilibrium Ising and percolation models.

Dates and versions

in2p3-00022061 , version 1 (29-05-2006)

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R. Botet, M. Ploszajczak. Universal features of the order-parameters fluctuations: reversible and irreversible aggregation. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2000, 62, pp.1825-1841. ⟨10.1103/PhysRevE.62.1825⟩. ⟨in2p3-00022061⟩
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