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arxiv: hep-lat/9809101 · v1 · submitted 1998-09-15 · ✦ hep-lat · cond-mat.stat-mech

Crossover scaling from classical to non-classical critical behaviour

classification ✦ hep-lat cond-mat.stat-mech
keywords criticalcrossoverfunctionsphysicalrelatedscalesscalingbecome
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Interacting physical systems in the neighborhood of criticality (and massive continuum field theories) can often be characterized by just two physical scales: a (macroscopic) correlation length and a (microscopic) interaction range, related to the coupling and measured by the Ginzburg number $G$. A critical crossover limit can be defined when both scales become large while their ratio stays finite. The corresponding scaling functions are universal, and they are related to the standard field-theory renormalization-group functions. The critical crossover describes the unique flow from the Gaussian to the nonclassical fixed point.

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