2007/05/31 by N. Hasselmann, Nils Hasselmann, Andreas Sinner +1 · 2 citations
Mathematics · Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physreve.76.040101
published as Phys. Rev. E 76, 040101(R) (2007) · 4 pages, 5 figures, revised version, to appear as Rapid Communication in Phys.Rev.E
arxiv created 2007/09/26 · openalex publication_date 2007/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the order parameter correlation function in the vicinity of continuous phase transitions using a two-parameter scaling form G(k)=kc(-2)g(kxi,k/kc), where k is the wave vector and xi is the correlation length, and the interaction-dependent nonuniversal momentum scale kc remains finite at the critical fixed point. The correlation function describes the entire critical regime and captures the classical to critical crossover. One-parameter scaling is recovered only in the limit k/kc-->0. We present an approximate calculation of g(x,y) for the Ising universality class using the functional renormalization group.