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 …

A Hamiltonian model living in a bounded phase space and with long-range interactions is
studied. It is shown, by analytical computations, that there exists an energy interval in which …

If a mean-field spin ring interact with a cold external thermal reservoir, the system might first
evolve to the paramagnetic metastable state along the paramagnetic path, and then …

We study the simplified Blume-Emery-Griffiths model without bilinear exchange coupling
both in the microcanonical ensemble and in the canonical ensemble. This model can exhibit …

For systems with long-range interactions, it is common to observe the negative heat
capacities as well as the temperature jumps in the microcanonical ensemble. If we connect …

Abstract The mean-field Blume–Emery–Griffiths model is studied both in the microcanonical
ensemble and in the canonical ensemble in this paper. In the microcanonical ensemble …

A long-range interacting spin chain can exhibit temperature jump at the transition energy
under the microcanonical description. After two identical long-range interacting subsystems …

Bose-Einstein condensation represents a remarkable phase transition, characterized by the
formation of a single quantum subsystem. As a result, the statistical properties of the …

A mean field antiferromagnetic model with both short and long interaction was studied via
the microcanonical approach. The thermodynamic quantities such as temperature and …

By using a simple argument, the cause of the thermodynamic non-equivalence of the
canonical and microcanonical ensembles is clarified to be the first-order canonical phase …