Results 81 to 90 of about 1,388 (153)

Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems

open access: yesNew Journal of Physics, 2019
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
doaj   +1 more source

Anomalous Dynamics of Colloids and Their Cluster Formation in Active Liquids [PDF]

open access: yesEPJ Web of Conferences
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
doaj   +1 more source

Generalized entropy arising from a distribution of q-indices

open access: yes, 2004
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
core   +1 more source

Stretched exponentials from superstatistics [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2006
10 pages.
openaire   +2 more sources

Superstatistical generalization of the work fluctuation theorem

open access: yes, 2003
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
core   +1 more source

Superstatistical turbulence models

open access: yes, 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.
openaire   +2 more sources

Superstatistics and temperature fluctuations [PDF]

open access: yesPhysics Letters A, 2018
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 ...
openaire   +2 more sources

Multivariate Extended Gamma Distribution

open access: yesAxioms, 2017
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
doaj   +1 more source

Non-Extensive Entropic Distance Based on Diffusion: Restrictions on Parameters in Entropy Formulae

open access: yesEntropy, 2016
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
doaj   +1 more source

The entropy in finite $N$-unit nonextensive systems: the ordinary average and $q$-average

open access: yes, 2010
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
core   +1 more source

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