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Synchronization and Spin-Flop Transitions for a Mean-Field XY Model in Random Field

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Publication date

2016

Authors

Collet, Francesca
Ruszel, W.M.ORCID 0000-0002-8166-2318ISNI 000000039432442X

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DOI

https://doi.org/10.1007/s10955-016-1557-1

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Article

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Abstract

We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase transitions in the interaction strength for fixed random field intensity. We show that at low temperature magnetic ordering appears perpendicularly to the field. The latter situation corresponds to a spin-flop transition.

Keywords

disorderd modelds, spin-flop transitions, XY models, interacting particle systems, mean-field interaction, phase transition, reversible markov processes

Citation

Collet, F & Ruszel, W M 2016, 'Synchronization and Spin-Flop Transitions for a Mean-Field XY Model in Random Field', Journal of Statistical Physics, vol. 164, no. 3, pp. 645-666. https://doi.org/10.1007/s10955-016-1557-1

URI

http://hdl.handle.net/1874/387596