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Introduction to Nonextensive Statistical Mechanics

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TLDR
In this article, the Boltzmann-Gibbs Statistical Mechanics (BSM) theory is generalized to nonextensive statistical mechanics and applied in thermodynamic and non-thermodynamic applications.
Abstract
Basics or How the Theory Works.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing What We Learnt: Nonextensive Statistical Mechanics.- Foundations or Why the Theory Works.- Stochastic Dynamical Foundations of~Nonextensive Statistical Mechanics.- Deterministic Dynamical Foundations of Nonextensive Statistical Mechanics.- Generalizing Nonextensive Statistical Mechanics.- Applications or What for the Theory Works.- Thermodynamical and Nonthermodynamical Applications.- Last (But Not Least).- Final Comments and Perspectives.

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