Nonadditive (nonextensive) generalization of the quantum Kullback-Leibler divergence, termed the quantum q-divergence, is shown not to increase by projective measurements in an elementary manner.

In a recent letter [1], Schmidt et al. analyze a region where the specific heat of a Na + 147 cluster becomes negative. In Boltzmann-Gibbs (BG) statistical mechanics the specific heat can never be negative in the canonical ensemble. However, as the authors are well aware, no such property is valid in general for the microcanonical ensemble. This is indeed the case of a variety of physical situa...

Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics, in which the entropic index q plays an important role, the conventional Boltzman-Gibbs statistics being recovered in the limit of q = 1. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the ma...

The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonex-tensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane-Emden spheres, whereas the second o...

We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis nonextensive statistics and thermodynamics, with Tsallis parameter q is found to be related to the number of particles in the quasither-mostat. We show that the chi-square distribution of fluctuati...

A novel class of nonequilibrium phase transitions at zero temperature is found in chains of nonlinear oscillators. For two paradigmatic systems, the Hamiltonian XY model and the discrete nonlinear Schrödinger equation, we find that the application of boundary forces induces two synchronized phases, separated by a nontrivial interfacial region where the kinetic temperature is finite. Dynamics in...

Over the last couple of decades nonextensive Tsallis entropy has shown remarkable applicability to describe nonequilibrium physical systems with large variability and multifractal structure. Herein, we review recent results from the application of Tsallis statistical mechanics to the detection of dynamical changes related with the occurrence of magnetic storms. We extend our review to describe ...

We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive Sq entropies. Our present contribution is in line with recent developments, where nonlinear extensions inspired on the q-thermostatistical formalism have been proposed for the Schroedinger, Klein–Gordon, and Dirac wave equations. These previously introduced equati...