Nonextensive thermodynamics applied to superconductivity

Is Tsallis thermodynamics nonextensive?

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. ...

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 ...

Superconductivity: Thermodynamics

Fractal geometry , information growth and nonextensive thermodynamics

This is a study of the information evolution of complex systems by a geometrical consideration. We look at chaotic systems evolving in fractal phase space. The entropy change in time due to the fractal geometry is assimilated to the information growth through the scale refinement. Due to the incompleteness of the state number counting at any scale on fractal support, the incomplete normalizatio...

Nonextensive thermodynamics of the two-site Hubbard model

Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the magnetic-field dependence of the magnetization have been calculated for various values of the entropic index q: the result for q = 1 in the...