Chaotic properties of spin lattices near second-order phase transitions
Date
2015-12-30
Authors
de Wijn, A. S.
Hess, B.
Fine, B. V.
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
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.
Description
Keywords
Research Subject Categories::TECHNOLOGY, Second order phase transitions, Chaos, Spin lattice models
Citation
de Wijn, A. S., Hess, B., & Fine, B. V. (2015). Chaotic properties of spin lattices near second-order phase transitions. Physical Review E, 92(6). https://doi.org/10.1103/physreve.92.062929