Inequivalence of ensembles in a system with long range interactions

Details Inequivalence of ensembles in a system with long range interactions Inequivalence of ensembles in a system with long range interactions

2001-02-02

arxiv.org/abs/cond-mat/0102036v1

Phys.Rev.Lett.87:030601,2001

Physics

Condensed Matter

Statistical Mechanics

Revtex, 4 pages with 3 figures, submitted to Phys. Rev. Lett., e-mail ruffo@avanzi.de.unifi.it

Scientific paper

10.1103/PhysRevLett.87.030601

We study the global phase diagram of the infinite range Blume-Emery-Griffiths model both in the canonical and in the microcanonical ensembles. The canonical phase diagram is known to exhibit first order and continuous transition lines separated by a tricritical point. We find that below the tricritical point, when the canonical transition is first order, the phase diagrams of the two ensembles disagree. In this region the microcanonical ensemble exhibits energy ranges with negative specific heat and temperature jumps at transition energies. These results can be extended to weakly decaying nonintegrable interactions.

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