The canonical phase diagram of the Blume-Emery-Griffiths model with infinite-range interactions is known to exhibit a fourth-order critical point at some negative value of the biquadratic interaction K<0. Here we study the microcanonical phase diagram of this model for K<0, extending previous studies which were restricted to positive K. A fourth-order critical point is found to exist at coupling parameters which are different from those of the canonical ensemble. The microcanonical phase diagram of the model close to the fourth-order critical point is studied in detail revealing some distinct features from the canonical counterpart.

Ensemble inequivalence in the Blume-Emery-Griffiths model near a fourth-order critical point / Prasad, V. V.; Campa, A.; Mukamel, D.; Ruffo, S.. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 100:5(2019), p. 052135. [10.1103/PhysRevE.100.052135]

Ensemble inequivalence in the Blume-Emery-Griffiths model near a fourth-order critical point

Ruffo S.
2019

Abstract

The canonical phase diagram of the Blume-Emery-Griffiths model with infinite-range interactions is known to exhibit a fourth-order critical point at some negative value of the biquadratic interaction K<0. Here we study the microcanonical phase diagram of this model for K<0, extending previous studies which were restricted to positive K. A fourth-order critical point is found to exist at coupling parameters which are different from those of the canonical ensemble. The microcanonical phase diagram of the model close to the fourth-order critical point is studied in detail revealing some distinct features from the canonical counterpart.
100
5
052135
052135
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.052135
https://arxiv.org/abs/1908.07770
Prasad, V. V.; Campa, A.; Mukamel, D.; Ruffo, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/116495
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