Nonextensive statistical mechanics and economics

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...

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...

Introduction to Nonextensive Statistical Mechanics

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...

Introduction to Nonextensive Statistical Mechanics and Thermodynamics *

In this lecture we briefly review the definition, consequences and applications of an entropy, Sq, which generalizes the usual Boltzmann-Gibbs entropy SBG (S1 = SBG), basis of the usual statistical mechanics, well known to be applicable whenever ergodicity is satisfied at the microscopic dynamical level. Such entropy Sq is based on the notion of q-exponential and presents properties not shared ...