1998/01/12 by E. K. Lenzi, L. C. Malacarne, R. S. Mendes · 53 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Complex Systems and Time Series Analysis #Entropy (arrow of time) #Feynman diagram #Fractional Differential Equations Solutions #Mathematical physics #Mathematics #Perturbation (astronomy) #Physics #Quantum mechanics #Rotation formalisms in three dimensions #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Tsallis entropy #Tsallis statistics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.80.218
published in Physical Review Letters 80(2), 218-221 (American Physical Society) · revtex
openalex publication_date 1998/01/12 · arxiv created 1998/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational method, the Bogoliubov inequality is generalized in a very natural way following the Feynman proof for the usual statistical mechanics. The inequality turns out to be form invariant with respect to the entropic index q. The method is illustrated with a simple example in classical mechanics. The formalisms developed here are expected to be useful in the discussion of nonextensive systems.