Results 81 to 90 of about 1,388 (153)
Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance, exponential or stretched-Gaussian tails.
Jakub Ślęzak +2 more
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Anomalous Dynamics of Colloids and Their Cluster Formation in Active Liquids [PDF]
We examine the dynamics of individual colloidal particles in active media. Unlike Brownian particles, which display a Gaussian distribution in displacement, the colloids in active media show deviations from this form.
Kushwaha Pragya, Chikkadi Vijayakumar
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Generalized entropy arising from a distribution of q-indices
It is by now well known that the Boltzmann-Gibbs (BG) entropy $S_{BG}=-k\sum_{i=1}^W p_i \ln p_i$ can be usefully generalized into the entropy $S_q=k (1-\sum_{i=1}^Wp_i^{q}) / (q-1)$ ($q\in \mathcal{R}; S_1=S_{BG}$).
A. M. C. Souza +9 more
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Stretched exponentials from superstatistics [PDF]
10 pages.
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Superstatistical generalization of the work fluctuation theorem
We derive a generalized version of the work fluctuation theorem for nonequilibrium systems with spatio-temporal temperature fluctuations. For chi-square distributed inverse temperature we obtain a generalized fluctuation theorem based on q-exponentials ...
Beck +28 more
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Superstatistical turbulence models
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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Superstatistics and temperature fluctuations [PDF]
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 equilibrium canonical distributions weighted by a function P(beta) of the intensive thermodynamic quantity beta conjugate ...
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Multivariate Extended Gamma Distribution
In this paper, I consider multivariate analogues of the extended gamma density, which will provide multivariate extensions to Tsallis statistics and superstatistics.
Dhannya P. Joseph
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Non-Extensive Entropic Distance Based on Diffusion: Restrictions on Parameters in Entropy Formulae
Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to
Tamás Sándor Biró, Zsolt Schram
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The entropy in finite $N$-unit nonextensive systems: the ordinary average and $q$-average
We have discussed the Tsallis entropy in finite $N$-unit nonextensive systems, by using the multivariate $q$-Gaussian probability distribution functions (PDFs) derived by the maximum entropy methods with the normal average and the $q$-average ($q$: the ...
Beck C., Hideo Hasegawa
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