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Microcanonical ensemble extensive thermodynamics of Tsallis statistics [PDF]
The microscopic foundation of the generalized equilibrium statistical mechanics based on the Tsallis entropy is given by using the Gibbs idea of statistical ensembles of the classical and quantum mechanics. The equilibrium distribution functions are derived by the thermodynamic method based upon the use of the fundamental equation of thermodynamics and
openaire +2 more sources
Abstract Although the concept of thermodynamic entropy due to Clausius dates back to the early 1850s, the mathematical theory of informational entropy was not developed until the pioneering work of Shannon in 1948, the development of principle of maximum entropy (POME) and theorem of concentration by Jaynes in 1957, principle of minimum cross entropy ...
Vijay P. Singh
wiley +1 more source
Quark matter revisited with non extensive MIT bag model
In this work we revisit the MIT bag model to describe quark matter within both the usual Fermi-Dirac and the Tsallis statistics. We verify the effects of the non-additivity of the latter by analysing two different pictures: the first order phase ...
Cardoso, Pedro H. G. +3 more
core +1 more source
Cosmology Due to Thermodynamics of Apparent Horizon
Effective cosmological constant as a function of the Hubble rate H for different entropy parameters b. Figure shows the asymptotic of the effective cosmological constant. At H = 0 the effective cosmological constant vanishes. Abstract This study proposes new entropy of the apparent horizon Sh=(1/β)arctan(βSBH)$S_h=(1/\beta)\arctan (\beta S_{BH ...
S. I. Kruglov
wiley +1 more source
Fractal Structure and Non-Extensive Statistics
The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics have been discussed in detail in many works and triggered an ...
Airton Deppman +3 more
doaj +1 more source
Abstract Flood‐induced deformation of the bed topography of fluvial meandering rivers could lead to riverbank displacement, infrastructure failure, and the propagation of scour and deposition features. The ability to predict sediment transport in large‐scale meanders is, therefore, a critical requirement for tackling a host of environmental issues ...
Zexia Zhang +5 more
wiley +1 more source
Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
The pathway model of Mathai (2005) is shown to be inferable from the maximization of a certain generalized entropy measure. This entropy is a variant of the generalized entropy of order 'alpha', considered in Mathai and Rathie (1975), and it is also ...
A.M. Mathai +19 more
core +2 more sources
Searching for Universality of Turbulence in the Earth's Magnetosphere
Abstract Turbulence in space plasmas remains a fundamental challenge, and Earth's magnetosphere (MSP) offers a natural laboratory for its study. Using high‐resolution magnetic field data from the Magnetospheric Multiscale (MMS) mission, we extend a stochastic Markovian framework to analyze turbulence across 10 diverse magnetospheric regions, including ...
Dariusz Wójcik, Wiesław M. Macek
wiley +1 more source
Analysis of serrations and shear bands fractality in UFGs
Tsallis nonextensive statistics is employed to characterize serrated flow, as well as multiple shear band formation in ultrafine grain (UFG) size materials. Two such UFG materials, a bi-modal Al-Mg alloy and a Fe-Cu alloy, were chosen. In the first case,
Iliopoulos Aggelos C. +2 more
doaj +1 more source
Nonextensive statistics of Landsberg-Vedral entropy [PDF]
The general formalism for the nonextensive statistics based on the Landsberg-Vedral parametric entropy in the framework of the microcanonical, canonical and grand canonical ensembles was derived.
Parvan A.S.
doaj +1 more source

