{"slug":"wilson-1971","verification":{"valid":false,"broken_at":0,"reason":"prev mismatch"},"count":4,"sources":[{"id":"s1","type":"primary","url":"https://doi.org/10.1103/PhysRevB.4.3174","title":"Wilson, K.G. \"Renormalization Group and Critical Phenomena. I.\" Physical Review B 4(9), 3174–3183 (1971).","quote":"At criticality, correlation length ξ → ∞; the system becomes scale-invariant.","summary":"Introduces the renormalization group as a flow of Hamiltonians under rescaling, mapping Kadanoff's block-spin idea to quantum field theory.","claim_ids":["c1","c2","c3","c4","c5"],"quality_score":1},{"id":"s2","type":"primary","url":"https://doi.org/10.1103/PhysRevB.4.3184","title":"Wilson, K.G. \"Renormalization Group and Critical Phenomena. II.\" Physical Review B 4(9), 3184–3205 (1971).","quote":"","summary":"Develops the phase-space cell analysis and introduces the epsilon expansion, providing quantitative predictions for critical exponents.","claim_ids":["c1","c2","c3","c4","c5"],"quality_score":1},{"id":"s3","type":"adjacent","url":"https://miscsubjects.com/articles/bak-1987","title":"Bak, Tang & Wiesenfeld — Self-Organized Criticality (1987)","quote":"","summary":"Empirical and theoretical work on systems that spontaneously tune themselves to criticality without external parameter adjustment.","claim_ids":["c6"],"quality_score":0.85},{"id":"s4","type":"rival","url":"","title":"Rival frame: Power-law fitting artifacts and finite-size effects","quote":"Log-log plots make them appear. Finite systems show cutoff effects. Pure scaling is an idealization.","summary":"Challenges whether observed critical scaling is genuine or an artifact of log-log plotting and finite-size effects in real systems.","claim_ids":[],"quality_score":0.6}]}