[HTML][HTML] The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks

C Tsallis - Entropy, 2011 - mdpi.com
The nonadditive entropy S q has been introduced in 1988 focusing on a generalization of
Boltzmann–Gibbs (BG) statistical mechanics. The aim was to cover a (possibly wide) class of …

What should a statistical mechanics satisfy to reflect nature?

C Tsallis - Physica D: Nonlinear Phenomena, 2004 - Elsevier
There is no compelling reason imposing that the methods of statistical mechanics should be
restricted to the dynamical systems which follow the usual Boltzmann–Gibbs prescriptions …

[BOEK][B] Introduction to nonextensive statistical mechanics: approaching a complex world

C Tsallis - 2009 - Springer
Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

[BOEK][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools

D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

Superstatistics

C Beck, EGD Cohen - Physica A: Statistical mechanics and its applications, 2003 - Elsevier
We consider nonequilibrium systems with complex dynamics in stationary states with large
fluctuations of intensive quantities (eg the temperature, chemical potential or energy …

[BOEK][B] Nonlinear Fokker-Planck equations: fundamentals and applications

TD Frank - 2005 - books.google.com
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

Generalised information and entropy measures in physics

C Beck - Contemporary Physics, 2009 - Taylor & Francis
The formalism of statistical mechanics can be generalised by starting from more general
measures of information than the Shannon entropy and maximising those subject to suitable …

From time series to superstatistics

C Beck, EGD Cohen, HL Swinney - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Complex nonequilibrium systems are often effectively described by a “statistics of a
statistics”, in short, a “superstatistics”. We describe how to proceed from a given …

Superstatistics: theory and applications

C Beck - Continuum mechanics and thermodynamics, 2004 - Springer
Superstatistics is a superposition of two different statistics relevant to driven nonequilibrium
systems with a stationary state and intensive parameter fluctuations. It contains Tsallis …

Generalized entropies and the transformation group of superstatistics

R Hanel, S Thurner, M Gell-Mann - … of the National Academy of Sciences, 2011 - pnas.org
Superstatistics describes statistical systems that behave like superpositions of different
inverse temperatures β, so that the probability distribution is, where the “kernel” f (β) is …
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