2001/05/19 by L. Velázquez, L. Velazquez, F. Guzman +3
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #Statistical Mechanics and Entropy #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0105378
9 pages, RevTeX
openalex publication_date 2001/05/19 · arxiv created 2001/05/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper are analysed the conditions for the validity of the Tsallis Statistics. The same have been done following the analogy with the traditional case: starting from the microcanonical description of the systems and analysing the scaling properties of the fundamental macroscopic observables in the Thermodynamic Limit. It is shown that the Generalized Legendre Formalism in the Tsallis Statistic only could be applied for one special class of the bordering systems, those with non exponential growth of the accessible states density in the thermodynamic limit and zero-order divergency behavior for the fundamental macroscopic observables, systems located in the chaos threshold.