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Concavity, Response Functions and Replica Energy.

Authors :
Campa A
Casetti L
Latella I
Pérez-Madrid A
Ruffo S
Source :
Entropy (Basel, Switzerland) [Entropy (Basel)] 2018 Nov 28; Vol. 20 (12). Date of Electronic Publication: 2018 Nov 28.
Publication Year :
2018

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.

Details

Language :
English
ISSN :
1099-4300
Volume :
20
Issue :
12
Database :
MEDLINE
Journal :
Entropy (Basel, Switzerland)
Publication Type :
Academic Journal
Accession number :
33266631
Full Text :
https://doi.org/10.3390/e20120907