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Related papers: Atmospheric turbulence and superstatistics

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We successfully apply the recent developed superstatistics theory to a temporal series of turbulent wind measurements recorded by the anemometers of Florence airport. Within this approach we can reproduce very well the fluctuations and the…

Statistical Mechanics · Physics 2017-08-23 Salvo Rizzo , Andrea Rapisarda

Nonequilibrium complex systems are often effectively described by the mixture of different dynamics on different time scales. Superstatistics, which is "statistics of statistics" with two largely separated time scales, offers a consistent…

Statistical Mechanics · Physics 2015-05-18 Sumiyoshi Abe

Superstatistics is a superposition of two different statistics relevant for driven nonequilibrium systems with a stationary state and intensive parameter fluctuations. It contains Tsallis statistics as a special case. After briefly…

Statistical Mechanics · Physics 2009-11-10 Christian Beck

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

Statistical Mechanics · Physics 2009-11-07 C. Beck , E. G. D. Cohen

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary…

Statistical Mechanics · Physics 2009-11-13 Sumiyoshi Abe , Christian Beck , E. G. D. Cohen

Turbulence exhibits significant velocity fluctuations even if the scale is much larger than the scale of the energy supply. Since any spatial correlation is negligible, these large-scale fluctuations have many degrees of freedom and are…

Fluid Dynamics · Physics 2015-05-20 H. Mouri , A. Hori , Y. Kawashima , K. Hashimoto

Superstatistics is a `statistics of a statistics' relevant for driven nonequilibrium systems with fluctuating intensive parameters. It contains Tsallis statistics as a special case. We show that the probability density functions of velocity…

Fluid Dynamics · Physics 2009-11-10 Christian Beck

Superstatistics [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)] is a formalism aimed at describing statistical properties of a generic extensive quantity E in complex out-of-equilibrium systems in terms of a superposition of…

Statistical Mechanics · Physics 2018-08-07 F. Sattin

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…

Fluid Dynamics · Physics 2007-05-23 Christian Beck

We review some recent developments which make use of the concept of `superstatistics', an effective description for nonequilibrium systems with a varying intensive parameter such as the inverse temperature. We describe how the asymptotic…

Statistical Mechanics · Physics 2017-08-23 Christian Beck

We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

Data Analysis, Statistics and Probability · Physics 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov

We report a general technique to study a given experimental time series with superstatistics. Crucial for the applicability of the superstatistics concept is the existence of a parameter $\beta$ that fluctuates on a large time scale as…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Erik Van der Straeten , Christian Beck

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

Superstatistics is a widely employed tool of non-equilibrium statistical physics which plays an important role in analysis of hierarchical complex dynamical systems. Yet, its "canonical" formulation in terms of a single nuisance parameter…

Statistical Finance · Quantitative Finance 2017-11-10 Petr Jizba , Jan Korbel , Hynek Lavička , Martin Prokš , Václav Svoboda , Christian Beck

A thermodynamic device placed outdoors, or a local ecosystem, is subject to a variety of different temperatures given by short-tem (daily) and long-term (seasonal) variations. In the long term a superstatistical description makes sense,…

Atmospheric and Oceanic Physics · Physics 2013-07-31 G. Cigdem Yalcin , Christian Beck

We present an analysis of a time series of a wind strength measurements recorded at Florence airport in the period October 2002 - March 2003. The data were taken simultaneously by two runway head anemometers, located at a distance of 900 m,…

Statistical Mechanics · Physics 2009-11-10 Salvo Rizzo , Andrea Rapisarda

Atmospheric wind speeds and their fluctuations at different locations (onshore and offshore) are examined. One of the most striking features is the marked intermittency of probability density functions (PDF) of velocity differences -- no…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 F. Böttcher , St. Barth , J. Peinke

Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special…

Statistical Mechanics · Physics 2007-05-23 Hugo Touchette , Christian Beck

Superstatistics is a framework in nonequilibrium statistical mechanics that successfully describes a wide variety of complex systems, including hydrodynamic turbulence, weakly-collisional plasmas, cosmic rays, power grid fluctuations, among…

Statistical Mechanics · Physics 2020-01-29 Sergio Davis
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