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2018-11-28

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cc-by (c) Campa, Alessandro et al., 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/136836

Concavity, response functions and replica energy

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https://doi.org/10.3390/e20120907

Abstract

In nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with anomalous concavity properties of the thermodynamic potentials associated with the various ensembles. We show how the type and number of negative response functions depend on which of the quantities E, V and N (energy, volume and number of particles) are constrained in the ensemble. In particular, we consider the unconstrained ensemble in which E, V and N fluctuate, which is physically meaningful only for nonadditive systems. In fact, its partition function is associated with the replica energy, a thermodynamic function that identically vanishes when additivity holds, but that contains relevant information in nonadditive systems.

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Termodinàmica, Mecànica estadística

Subject (English)

Thermodynamics, Statistical mechanics

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

CAMPA, Alessandro, et al. Concavity, response functions and replica energy. Entropy. 2018. Vol. 20, num. 12. ISSN 1099-4300. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/136836

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