2003/06/10 by Áurea R. Vasconcellos, Vasconcellos, Áurea R., J. Galvão Ramos +3 · 1 citation
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Neural Networks and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.cond-mat/0306247
openalex publication_date 2003/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present follow-up article of a previous one [1] we illustrate the use\nof the Unconventional Statistical Mechanics described and discussed in the\nlatter. This is done via the analysis, resorting to Renyi approach, of\nexperimental results in the case of so-called "anomalous" luminescence in\nnanometric quantum wells in semiconductor heterostructures, and the so-called\n"anomalous" cyclic voltammetry in fractal-like electrodes in microbatteries.\nAlso a purely theoretical analysis is done in the cases of an ideal gas and of\nradiation comparing the conventional and unconventional approaches. In all of\nthese situations it is discussed which is the failure to satisfy the Criteria\nof Efficiency and/or Sufficiency thus requiring to resort to the unconventional\napproach, and what determines the value of the infoentropic index in each case,\nand its dependence on the system characteristics. Moreover, on the basis of the\nresults we obtain, it is conjectured that the infoentropic index may satisfy\nwhat we call a law defining a "path to sufficiency". PACS: 05.70.Ln; 82.20.Mj;\n82.20.Db Keywords: Renyi Statistics; Escort Probability; Fractal Structured\nSystems; Power Law Properties.\n