Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World
By Constantino Tsallis. 2009
1,878 citations recorded by the source corpus.
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.
Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d68ff1226018b9ca1c1a0d16672fe951dede95d9
How researchers see this paper
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In Condensed Matter Physics
- David John McComas
- George Livadiotis
- Rudolf Hanel
- Stefan Thurner 4
- L. Cirto
- Constantino Tsallis
- L. Jost
In Statistical and Nonlinear Physics
- George Livadiotis
- David John McComas
- Stefan Thurner 4
- Rudolf Hanel
- L. Cirto
- Constantino Tsallis
- L. Jost
- V. Pierrard
Citations in the corpus
- Black hole thermodynamical entropy (2012, background): “As a possibility for addressing complexities such as those illustrated above, it was proposed in 1988 [58] (see also [32, 59, 60]) a generalization of the BG theory, currently referred to as nonextensive statistical mechanics.”
- A comprehensive classification of complex statistical systems and an axiomatic derivation of their entropy and distribution functions (2010, background): “[18] Hanel R, S Thurner, C Tsallis (2009) On the robustness of q-expectation values and Rényi entropy.”
- Nonadditive entropy: The concept and its use (2008, background): “It has since then received a considerable amount of applications and verifications in natural, artificial and social systems [20,21,22,23,24].”
- INVARIANT KAPPA DISTRIBUTION IN SPACE PLASMAS OUT OF EQUILIBRIUM (2011, methodology): “An extended bibliography of applications of the q-exponential distribution can be found in Tsallis (2009a, 2009b), Livadiotis & McComas (2009), and references therein.”