Results 81 to 90 of about 208 (147)
Renewal, Modulation and Superstatistics
, 2005 We consider two different proposals to generate a time series with the same non-Poisson distribution of waiting times, to which we refer to as renewal and modulation. We show that, in spite of the apparent statistical equivalence, the two time series generate different physical effects.
Allegrini, Paolo +3 more
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Fingerprints of nonequilibrium stationary distributions in dispersion relations. [PDF]
Sci Rep, 2021 Ourabah K.
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Plasmas and other systems with long-range interactions are commonly found in non-equilibrium steady states that are outside traditional Boltzmann-Gibbs statistics, but can be described using generalized statistical mechanics frameworks such as superstatistics, where steady states are treated as superpositions of canonical ensembles under a temperature ...
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Some Non-Obvious Consequences of Non-Extensiveness of Entropy. [PDF]
Entropy (Basel), 2023 Wilk G, Włodarczyk Z.
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Pathway to Fractional Integrals, Fractional Differential Equations, and Role of the H-Function
AxiomsIn this paper, the pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, the reaction ...
Arak M. Mathai, Hans J. Haubold
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Complexity of Recent Earthquake Swarms in Greece in Terms of Non-Extensive Statistical Physics. [PDF]
Entropy (Basel), 2023 Sardeli E +5 more
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Superstatistics - a quantum generalization
, 2006 A quantum mechanical generalization of superstatistics is presented here based on the positive operator valued measure transformation property of the system density matrix. This procedure reveals that the origin of the fluctuating factors occurring in the derivation of the superstatistics lies in the choice of the transformation operators governing the
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Superstatistics for fractional systems
, 2013 The purpose of this paper is to develop a new fractional dynamical approach to superstatistics. Namely, we show that superstatistical distribution functions can be obtained from stationary solutions of the generalized Fokker-Planck equation for fractional systems by using the fractional generalization Bayes' theorem.
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Evaluating the Adiabatic Invariants in Magnetized Plasmas Using a Classical Ehrenfest Theorem. [PDF]
Entropy (Basel), 2023 Tamburrini A, Davis S, Moya PS.
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Superstatistical turbulence models
, 2005 Recently there has been some progress in modeling the statistical properties of turbulent flows using simple superstatistical models. Here we briefly review the concept of superstatistics in turbulence. In particular, we discuss a superstatistical extension of the Sawford model and compare with experimental data.
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