English

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

Statistical Mechanics 2009-10-31 v1 Soft Condensed Matter High Energy Physics - Phenomenology Nuclear Theory

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.

Keywords

Cite

@article{arxiv.cond-mat/0004003,
  title  = {Universal features of the order-parameter fluctuations : reversible and irreversible aggregation},
  author = {R. Botet and M. Ploszajczak},
  journal= {arXiv preprint arXiv:cond-mat/0004003},
  year   = {2009}
}

Comments

19 pages, 10 figures