Tsallis’ entropy maximization procedure revisited

2000/03/31 by S Martı́nez, S. Martinez, F Nicolás +5 · 11 citations
Mathematics · Physics and Astronomy · #Mathematical Inequalities and Applications #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #physics.data-an

paper · pdf · doi:10.1016/s0378-4371(00)00359-9

published as Physica A 286 (2000) 489 · 17 pages, no figures

openalex publication_date 2000/11/01 · arxiv created 2000/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The proper way of averaging is an important question with regards to Tsallis' Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one, i.e., the Tsallis-Mendes-Plastino (TMP) normalization procedure, exhibits clear advantages with respect to earlier ones. In this work, we advance a distinct (from the TMP-one) way of handling the Lagrange multipliers involved in the extremization process that leads to Tsallis' statistical operator. It is seen that the new approach considerably simplifies the pertinent analysis without losing the beautiful properties of the Tsallis-Mendes-Plastino formalism.

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