Chaotic properties of spin lattices near second-order phase transitions

A. S. De Wijn, B. Hess, B. V. Fine

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    5 Citations (Scopus)


    We perform a numerical investigation of the Lyapunov spectra of chaotic dynamics in lattices of classical spins in the vicinity of second-order ferromagnetic and antiferromagnetic phase transitions. On the basis of this investigation, we identify a characteristic of the shape of the Lyapunov spectra, the "G-index," which exhibits a sharp peak as a function of temperature at the phase transition, provided the order parameter is capable of sufficiently strong dynamic fluctuations. As part of this work, we also propose a general numerical algorithm for determining the temperature in many-particle systems, where kinetic energy is not defined.

    Original languageEnglish
    Article number062929
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number6
    Publication statusPublished - 30 Dec 2015


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