Correct thermodynamic forces in Tsallis thermodynamics: connection with Hill nanothermodynamics

2005/01/14 by Vladimir Garcı́a-Morales, V. Garcia-Morales, Javier Cervera +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fractional Differential Equations Solutions #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physleta.2005.01.012

published as Phys. Lett. A 336 (1) pp. 82-88 (2005) · Accepted for publication in Phys. Lett. A

openalex publication_date 2005/01/14 · arxiv created 2005/01/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The equivalence between Tsallis Thermodynamics and Hill Nanothermodynamics is established. The correct thermodynamic forces in Tsallis thermodynamics are pointed out. Through this connection we also find a general expression for the entropic index q which we illustrate with two physical examples, allowing in both cases to relate q to the underlying dynamics of the Hamiltonian systems.

Citations

• Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos
• Coupling theory for counterion distributions based in Tsallis statistics

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