English

Crossover scaling from classical to non-classical critical behaviour

High Energy Physics - Lattice 2009-10-31 v1 Statistical Mechanics

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 GG. 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.

Keywords

Cite

@article{arxiv.hep-lat/9809101,
  title  = {Crossover scaling from classical to non-classical critical behaviour},
  author = {Sergio Caracciolo and Maria Serena Causo and Andrea Pelissetto and Paolo Rossi and Ettore Vicari},
  journal= {arXiv preprint arXiv:hep-lat/9809101},
  year   = {2009}
}

Comments

LATTICE98(spin), uses epsfig, 5 ps figures

R2 v1 2026-07-22T13:23:13.125Z