Chaotic properties of spin lattices near second-order phase transitions

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume92
Issue number6
DOIs
Publication statusPublished - Dec 30 2015
Externally publishedYes

Fingerprint

Lyapunov Spectrum
Phase Transition
G-index
Many-particle System
Chaotic Dynamics
Numerical Investigation
Kinetic energy
Numerical Algorithms
Order Parameter
kinetic energy
Fluctuations
temperature

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Chaotic properties of spin lattices near second-order phase transitions. / De Wijn, A. S.; Hess, B.; Fine, Boris V.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, No. 6, 062929, 30.12.2015.

Research output: Contribution to journalArticle

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