Analogies between scaling in turbulence, field theory, and critical phenomena

1994/07/05 by Gregory L. Eyink, Gregory Eyink, Nigel Goldenfeld · 4 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Solar and Space Plasma Dynamics #chao-dyn #cond-mat #hep-th #nlin.CD

paper · pdf · doi:10.1103/physreve.50.4679

5 pages, revtex 3.0, no figures

arxiv created 1994/07/05 · openalex publication_date 1994/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

We discuss two distinct analogies between turbulence and field theory. In one analog, the field theory has an infrared attractive renormalization-group fixed point and corresponds to critical phenomena. In the other analog, the field theory has an ultraviolet attractive fixed point, as in quantum chromodynamics.

Citations

• Lectures on Phase Transitions and the Renormalization Group
• The renormalization group: Critical phenomena and the Kondo problem

Cited by

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• Beyond chaos: fluctuations, anomalies and spontaneous stochasticity in fluid turbulence
• Fully developed isotropic turbulence: Nonperturbative renormalization group formalism and fixed-point solution
• Lévy on-off intermittency