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Critical behavior and scaling in trapped systems

Campostrini, Massimo and Vicari, Ettore (2009) Critical behavior and scaling in trapped systems. Physical review letters, 102 . p. 240601. ISSN 0031-9007

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We study the scaling properties of critical particle systems confined by a potential. Using renormalization-group arguments, we show that their critical behavior can be cast in the form of a trap-size scaling, resembling finite-size scaling theory, with a nontrivial trap critical exponent theta, which describes how the correlation length scales with the trap size l, i.e., $\xi\sim l^\theta$ at the critical point. theta depends on the universality class of the transition, the power law of the confining potential, and on the way it is coupled to the critical modes. We present numerical results for two-dimensional lattice gas (Ising) models with various types of harmonic traps, which support the trap-size scaling scenario.

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: 08 Apr 2015 17:59
Last Modified: 08 Apr 2015 17:59
URI: http://eprints.adm.unipi.it/id/eprint/1762

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