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Crossover scaling from classical to nonclassical critical behavior

Pelissetto, A. and Rossi, P. and Vicari, E. (1998) Crossover scaling from classical to nonclassical critical behavior. Physical review. E, Statistical, nonlinear, and soft matter physics, 58 . p. 7146. ISSN 1550-2376

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We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions are universal with respect to any possible microscopic mechanism which can vary G, such as changing the range or the strength of the interactions. The critical crossover describes the unique flow from the unstable Gaussian to the stable nonclassical fixed point. The scaling functions are related to the continuum renormalization-group functions. We show these features explicitly in the large-N limit of the O(N) phi^4 model. We also show that the effective susceptibility exponent is nonmonotonic in the low-temperature phase of the three-dimensional Ising model.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 15:25
Last Modified: 09 Apr 2015 15:25
URI: http://eprints.adm.unipi.it/id/eprint/1777

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