Can one measure negative specific heat in the canonical statistical ensemble?

Details Can one measure negative specific heat in the canonical statistical ensemble? Can one measure negative specific heat in the canonical statistical ensemble?

2010-03-02

arxiv.org/abs/1003.0631v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

According to thermodynamics, the specific heat of Boltzmannian short-range interacting systems is a positive quantity. Less intuitive properties are instead displayed by systems characterized by long-range interactions. In that case, the sign of specific heat depends on the considered statistical ensemble: negative specific heat can be found in isolated systems, which are studied in the framework of the microcanonical ensemble; on the other hand, it is generally recognized that a positive specific heat should always be measured in systems in contact with a thermal bath, for which the canonical ensemble is the appropriate one. We demonstrate that the latter assumption is not generally true: one can in principle measure negative specific heat also in the canonical ensemble if the system under scrutiny is non-Boltzmannian and/or out-of-equilibrium.

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