Chaotic properties of spin lattices near second-order phase transitions
Open Access
- 30 December 2015
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 92 (6), 062929
- https://doi.org/10.1103/physreve.92.062929
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 “-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.
Keywords
Other Versions
Funding Information
- Vetenskapsrådet
This publication has 24 references indexed in Scilit:
- Lyapunov exponents as a dynamical indicator of a phase transitionEurophysics Letters, 2001
- Dynamical and statistical properties of Hamiltonian systems with many degrees of freedomLa Rivista del Nuovo Cimento, 1999
- Analytic estimation of the Lyapunov exponent in a mean-field model undergoing a phase transitionPhysical Review E, 1998
- Hamiltonian dynamics of the two-dimensional lattice modelJournal of Physics A: General Physics, 1998
- Geometry of dynamics and phase transitions in classical latticetheoriesPhysical Review E, 1998
- Lyapunov Instability and Finite Size Effects in a System with Long-Range ForcesPhysical Review Letters, 1998
- Geometry of Dynamics, Lyapunov Exponents, and Phase TransitionsPhysical Review Letters, 1997
- Lyapunov exponent and the solid-fluid phase transitionThe Journal of Chemical Physics, 1997
- Curvature fluctuations and the Lyapunov exponent at meltingPhysical Review E, 1997
- Phase transitions and Lyapunov characteristic exponentsPhysical Review A, 1987