نتایج جستجو برای: Tsallis statistical mechanics  

تعداد نتایج: 502719  

2017
A. S. Parvan

The general mathematical formulation of the equilibrium statistical mechanics based on the generalized statistical entropy for the first and second thermodynamic potentials was given. The Tsallis and Boltzmann-Gibbs statistical entropies in the canonical and microcanonical ensembles were investigated as an example. It was shown that the statistical mechanics based on the Tsallis statistical ent...

2010
G. L. Ferri M. F. Reynoso Savio A. Plastino

Keywords: Nonextensive statistical mechanics Meta-stable states Mixing Weak chaos q-triplet Stratospheric ozone a b s t r a c t Tsallis' q-triplet [C. Tsallis, Dynamical scenario for nonextensive statistical mechanics, Physica A 340 (2004) 1–10] is the best empirical quantifier of nonextensivity. Here we study it with reference to an experimental time-series related to the daily depth-values of...

2008
Christian Beck

We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that there is a distinguished dependence of the entropic index q on the spatial scale that makes the Tsallis entropies quasi-additive. Quasi-additivity implies th...

In this article, the effect of the nonextensivity parameter on the energy fluctuations of nonextensive systems is studied in two different versions of the Tsallis statistical mechanics. Once a general expression has been reported for the energy fluctuations in the second version (Tsallis work in 1988), the energy fluctuations of an ideal gas and a harmonic oscillator are studied in the second a...

Journal: :Entropy 2010
Amir Hossein Darooneh Ghassem Naeimi Ali Mehri Parvin Sadeghi

Non-extensive statistical mechanics appears as a powerful way to describe complex systems. Tsallis entropy, the main core of this theory has been remained as an unproven assumption. Many people have tried to derive the Tsallis entropy axiomatically. Here we follow the work of Wang (EPJB, 2002) and use the incomplete information theory to retrieve the Tsallis entropy. We change the incomplete in...

Journal: :physical chemistry research 2014
ezat keshavarzi abbas helmi mohammad kamalvand

in this article, the effect of the nonextensivity parameter on the energy fluctuations of nonextensive systems is studied in two different versions of the tsallis statistical mechanics. once a general expression has been reported for the energy fluctuations in the second version (tsallis work in 1988), the energy fluctuations of an ideal gas and a harmonic oscillator are studied in the second a...

Journal: :Physica D: Nonlinear Phenomena 2022

The general formalisms of the $q$-dual statistics, Boltzmann-Gibbs and three versions Tsallis statistics known as Tsallis-1, Tsallis-2, Tsallis-3 have been considered in canonical ensemble. We rigorously proved that probability distribution Tsallis-1 is invariant under uniform energy spectrum translation at a fixed temperature. This invariance demonstrates formalism consistent with fundamentals...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2002
Iliya V Karlin Miroslav Grmela Alexander N Gorban

We revisit recent derivations of kinetic equations based on Tsallis' entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis' statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscop...

2000
A. Nakamichi

Large-scale astrophysical systems are non-extensive due to their long-range force of gravity. Here we show an approach toward the statistical mechanics of such self-gravitating systems (SGS). This is a generalization of the standard statistical mechanics based on the new definition of entropy; Tsallis statistical mechanics. Developing the composition of entropy and the generalized Euler relatio...

Journal: :Physical review letters 2002
Eduard Vives Antoni Planes

Within the Tsallis thermodynamics framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be recovered. Moreover, we also generalize Einstein's formula for the probability of a fluctuation to occur by means of the maximum statistical entropy method. ...

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