Crossover scaling from classical to non-classical critical behaviour

Abstract

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.

LATTICE98(spin), uses epsfig, 5 ps figures

References in corpus (1)

• Addendum-erratum to: ``Nonasymptotic critical behavior from field theory at d=3. II. The ordered-phase case. Phys. Rev. B35, 3585 (1987)

Cited by in corpus (5)

• Crossover critical behavior in the three-dimensional Ising model
• Classical-to-critical crossovers from field theory
• Mean-field expansion for spin models with medium-range interactions
• On quantum effects near the liquid-vapor transition in helium
• Crossover phenomena in spin models with medium-range interactions and self-avoiding walks with medium-range jumps