Chaotic renormalization-group trajectories

P. H. Damgaard and G. Thorleifsson
Phys. Rev. A 44, 2738 – Published 1 August 1991
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Abstract

Under certain conditions, the renormalization-group flow of models in statistical mechanics can change dramatically under just very small changes of given external parameters. This can typically occur close to bifurcations of fixed points, close to the complete disappearance of fixed points, or in regions where the renormalization-group flow becomes chaotic. We present some explicit examples of these phenomena for the case of a Lie group valued spin-model analyzed by means of a variational real-space renormalization group. By directly computing the free energy of these models around the parameter regions in which such nontrivial modifications of the renormalization-group flow occur, we can extract the physical consequences of these phenomena.

  • Received 19 November 1990

DOI:https://doi.org/10.1103/PhysRevA.44.2738

©1991 American Physical Society

Authors & Affiliations

P. H. Damgaard

  • MIDIT, The Technical University of Denmark, DK-2800 Lyngby, Denmark

G. Thorleifsson

  • The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark

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Vol. 44, Iss. 4 — August 1991

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