Chaotic properties of spin lattices near second-order phase transitions

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dc.contributor.authorde Wijn, A. S.
dc.contributor.authorHess, B.
dc.contributor.authorFine, B. V.
dc.date.accessioned2020-06-24T08:56:14Z
dc.date.available2020-06-24T08:56:14Z
dc.date.issued2015-12-30
dc.description.abstractWe 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.en_US
dc.identifier.citationde 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.92.062929en_US
dc.identifier.issn1539-3755
dc.identifier.other10.1103/PhysRevE.92.062929
dc.identifier.urihttps://doi.org/10.1103/PhysRevE.92.062929
dc.identifier.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062929
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4798
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofseriesPhysical Review E;
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectResearch Subject Categories::TECHNOLOGYen_US
dc.subjectSecond order phase transitionsen_US
dc.subjectChaosen_US
dc.subjectSpin lattice modelsen_US
dc.titleChaotic properties of spin lattices near second-order phase transitionsen_US
dc.typeArticleen_US
workflow.import.sourcescience

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