The usual formulation of thermodynamics is based on the additivity of macroscopic systems. However, there are numerous examples of macroscopic systems that are not additive, due to the long-range character of the interaction among the constituents. We present here an approach in which nonadditive systems can be described within a purely thermodynamics formalism. The basic concept is to consider a large ensemble of replicas of the system where the standard formulation of thermodynamics can be naturally applied and the properties of a single system can be consequently inferred. After presenting the approach, we show its implementation in systems where the interaction decays as 1/r^α in the interparticle distance r, with α smaller than the embedding dimension d, and in the Thirring model for gravitational systems.

Thermodynamics of nonadditive systems / Latella, I; Pérez Madrid, A; Campa, A; Casetti, L; Ruffo, Stefano. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 114:23(2015), pp. 1-5. [10.1103/PhysRevLett.114.230601]

Thermodynamics of nonadditive systems

Ruffo, Stefano
2015-01-01

Abstract

The usual formulation of thermodynamics is based on the additivity of macroscopic systems. However, there are numerous examples of macroscopic systems that are not additive, due to the long-range character of the interaction among the constituents. We present here an approach in which nonadditive systems can be described within a purely thermodynamics formalism. The basic concept is to consider a large ensemble of replicas of the system where the standard formulation of thermodynamics can be naturally applied and the properties of a single system can be consequently inferred. After presenting the approach, we show its implementation in systems where the interaction decays as 1/r^α in the interparticle distance r, with α smaller than the embedding dimension d, and in the Thirring model for gravitational systems.
2015
114
23
1
5
230601
https://arxiv.org/abs/1505.03767v1
Latella, I; Pérez Madrid, A; Campa, A; Casetti, L; Ruffo, Stefano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14388
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