Synchronization and spin-flop transitions for a mean-field XY model in random field

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.

We changed the title to highlight the spin-flop transition occurring. We added information about the free energies of stationary solutions. 20 pages

References in corpus (3)

• Self-Organized Synchronization and Voltage Stability in Networks of Synchronous Machines
• Synchronization in ecological systems by weak dispersal coupling with time delay
• Random Field Induced Order in Low Dimension

Cited by in corpus (3)

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