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Microscopic and macroscopic properties ofA-superstatistics [PDF]
Journal of Physics A: Mathematical and General, 2003 The microscopic and the macroscopic properties of A-superstatistics, related to the class A(0,n-1)\equiv sl(1|n) of simple Lie superalgebras are investigated. The algebra sl(1|n) is described in terms of generators f_1^\pm, >..., f_n^\pm, which satisfy certain triple relations and are called Jacobson generators.
Palev, T. D. +2 more
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Superstatistical Brownian Motion [PDF]
Progress of Theoretical Physics Supplement, 2006 As a main example for the superstatistics approach, we study a Brownian particle moving in a d-dimensional inhomogeneous environment with macroscopic temperature fluctuations. We discuss the average occupation time of the particle in spatial cells with a given temperature.
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Superstatistical analysis of sea-level fluctuations [PDF]
Physica A: Statistical Mechanics and its Applications, 2015 We perform a statistical analysis of measured time series of sea levels at various coastal locations in the UK, measured at time differences of 15 minutes over the past 20 years. When the astronomical tide and other deterministic components are subtracted, a stochastic signal remains which is well-described by a superstatistical model.
Rabassa, Pau, Beck, Christian
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Measurement Invariance, Entropy, and Probability
Entropy, 2010 We show that the natural scaling of measurement for a particular problem defines the most likely probability distribution of observations taken from that measurement scale.
D. Eric Smith, Steven A. Frank
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First-passage time: a conception leading to superstatistics
Condensed Matter Physics, 2006 To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter -- the lifetime (the first passage time) of a system. The statistical distributions that can be obtained out of the mesoscopic description characterizing the ...
V.V.Ryazanov, S.G.Shpyrko
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Sensitivity of Regulated Streamflow Regimes to Interannual Climate Variability
Earth's Future, Volume 7, Issue 11, Page 1206-1219, November 2019., 2019 The simultaneous growth in climate‐driven alterations of the hydrologic cycle and global freshwater demand threatens the security of anthropogenic and ecologic uses of streamflows. However, the impact of damming on the response of river regimes to long‐term climate variability has not been fully disclosed yet.
Marta Ferrazzi +2 more
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A Generalization of the Havrda‐Charvat and Tsallis Entropy and Its Axiomatic Characterization
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 In this communication, we characterize a measure of information of types α, β, and γ by taking certain axioms parallel to those considered earlier by Havrda and Charvat along with the recursive relation Hn(p1, …, pn; α, β, γ) ‐ Hn−1(p1 + p2, p3, …, pn; α, β, γ) = (A(α,γ)/(A(α,γ) − A(β,γ)))p1+p2α/γH2(p1/(p1+p2), p2/(p1 + p2); α,γ) + (A(β,γ)/(A(β,γ) − A ...
Satish Kumar +2 more
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On superstatistics and black hole quasinormal modes
Physics Letters B, 2022 It is known that using Boltzmann-Gibbs statistics, Bekenstein-Hawking entropy SHB, and the quasinormal modes of black holes, one finds that the lowest value of spin is jmin=1.
A. Martínez-Merino, M. Sabido
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Conditional maximum entropy and superstatistics [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 Abstract Superstatistics describes nonequilibrium steady states as superpositions of canonical ensembles with a probability distribution of temperatures. Rather than assume a certain distribution of temperature, recently [2020 J. Phys. A: Math. Theor.
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New Journal of Physics, 2018 A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability density function of ...
Vittoria Sposini +4 more
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