de Wijn, A. S.Hess, B.Fine, B. V.2020-06-242020-06-242015-12-30de 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.92.0629291539-375510.1103/PhysRevE.92.062929https://doi.org/10.1103/PhysRevE.92.062929https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062929http://nur.nu.edu.kz/handle/123456789/4798We 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.enAttribution-NonCommercial-ShareAlike 3.0 United StatesResearch Subject Categories::TECHNOLOGYSecond order phase transitionsChaosSpin lattice modelsArticle