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.File | Dimensione | Formato | |
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