Phase space gaps and ergodicity breaking in systems with long range interactions

Details Phase space gaps and ergodicity breaking in systems with long range interactions Phase space gaps and ergodicity breaking in systems with long range interactions

2007-11-02

arxiv.org/abs/0711.0268v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.77.011125

We study a generalized isotropic XY-model which includes both two-spin and four-spin mean-field interactions. This model can be solved in the microcanonical ensemble. It is shown that in certain parameter regions the model exhibits gaps in the magnetization at fixed energy, resulting in ergodicity breaking. This phenomenon has previously been reported in anisotropic and discrete spin models. The entropy of the model is calculated and the microcanonical phase diagram is derived, showing the existence of first order phase transitions from the ferromagnetic to a paramagnetic disordered phase. It is found that ergodicity breaking takes place both in the ferromagnetic and the paramagnetic phases. As a consequence, the system can exhibit a stable ferromagnetic phase within the paramagnetic region, and conversely a disordered phase within the magnetically ordered region.

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