Scaling relations in equilibrium nonextensive thermostatistics

2004/01/31 by Sumiyoshi Abe, A. K. Rajagopal · 7 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Interpretation (philosophy) #Mathematics #Philosophy #Physics #Scaling #Statistical Mechanics and Entropy #Statistical physics #Theoretical physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physleta.2005.01.074

published in Physics Letters A 337(4-6), 292-295 (Elsevier BV) · 10 pages, no figures, Eqs. (4)-(7) are corrected

arxiv created 2004/02/04 · openalex publication_date 2005/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The forms of Euler and Gibbs-Duhem relations discussed in thermodynamics of extensive systems are shown to hold also for nonextensive systems with long-range interactions with a novel interpretation of entities appearing therein. In this way, the principles underlying Tsallis' scaling relations in equilibrium nonextensive thermostatistics are clarified.

Citations

• Validity of the Second Law in Nonextensive Quantum Thermodynamics
• Gravothermal catastrophe and Tsallis’ generalized entropy of self-gravitating systems. (III). Quasi-equilibrium structure using normalized q-values
• Kac-potential treatment of nonintegrable interactions