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

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.
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Submitted on : Monday, May 29, 2006 - 11:25:39 AM
Last modification on : Tuesday, April 21, 2020 - 10:29:58 AM

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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, American Physical Society, 2000, 62, pp.1825-1841. ⟨10.1103/PhysRevE.62.1825⟩. ⟨in2p3-00022061⟩

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