Chaotic properties of spin lattices near second-order phase transitions
Number of Authors: 3
2015 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 92, no 6, 062929Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2015. Vol. 92, no 6, 062929
Physical Sciences Mathematics
IdentifiersURN: urn:nbn:se:su:diva-126390DOI: 10.1103/PhysRevE.92.062929ISI: 000367383500007OAI: oai:DiVA.org:su-126390DiVA: diva2:901866