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

Journal article (2016)

Authors

F. Collet University of Bologna, Applied Probability - EEMCS
W.M. Ruszel Applied Probability - EEMCS
Research Group
Applied Probability (EEMCS) (TU Delft)
Copyright: © 2016 F. Collet, W.M. Ruszel
DOI: https://doi.org/10.1007/s10955-016-1557-1
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Published Date

13-06-2016

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

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.

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