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Possible generalization of Boltzmann-Gibbs statistics
With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the
Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World
Basics or How the Theory Works.- Historical Background and Physical Motivations.- Learning with Boltzmann-Gibbs Statistical Mechanics.- Generalizing What We Learnt: Nonextensive Statistical
Entropy
  • C. Tsallis
  • Physics
    Thermodynamic Weirdness
  • 28 January 2022
The concept of entropy constitutes, together with energy, a cornerstone of contemporary physics and related areas. It was originally introduced by Clausius in 1865 along abstract lines focusing on
Nonextensive Entropy: Interdisciplinary Applications
A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to
Introduction to Nonextensive Statistical Mechanics and Thermodynamics
In this lecture we briefly review the definition, consequences and applications of an entropy, $S_q$, which generalizes the usual Boltzmann-Gibbs entropy $S_{BG}$ ($S_1=S_{BG}$), basis of the usual
Nonextensive statistics: theoretical, experimental and computational evidences and connections
The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is discussed and then formally enlarged in order to hopefully cover a variety of anomalous systems. The
I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status
The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is focused on along a historical perspective. It is then formally enlarged in order to hopefully cover a
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