Thomas-Fermi model: Nonextensive statistical mechanics approach

Pathway Model and Nonextensive Statistical Mechanics

Special Edition “2015 UN/Japan Workshop on Space Weather” 157 Pathway Model and Nonextensive Statistical Mechanics A.M. Mathai, H.J. Haubold , C. Tsallis 5 1 Department of Mathematics and Statistics, McGill University, Quebec, Canada 2 Centre for Mathematical and Statistical Sciences, Kerala, India 3 Office for Outer Space Affairs, United Nations, Vienna, Austria 4 Centro Brasileiro de Pesquisa...

Duality in nonextensive statistical mechanics.

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...

Nonextensive statistical mechanics and economics

Ergodicity, this is to say, dynamics whose time averages coincide with ensemble averages, naturally leads to Boltzmann-Gibbs (BG) statistical mechanics, hence to standard thermodynamics. This formalism has been at the basis of an enormous success in describing, among others, the particular stationary state corresponding to thermal equilibrium. There are, however, vast classes of complex systems...

Introduction to Nonextensive Statistical Mechanics

A Comment on Nonextensive Statistical Mechanics

There is a conception that Boltzmann-Gibbs statistics cannot yield the long tail distribution. This is the justification for the intensive research of nonextensive entropies (i.e. Tsallis entropy and others). Here the error that caused this misconception is explained and it is shown that a long tail distribution exists in equilibrium thermodynamics for more than a century.