Measurements in turbulent flows have revealed that the velocity field in nonequilibrium systems exhibits q-exponential or power law distributions in agreement with theoretical arguments based on nonextensive statistical mechanics. Here we consider Hele-Shaw flow as simulated by the Lattice Boltzmann method and find similar behavior from the analysis of velocity field measurements. For the trans...

The q-Gaussian distribution is known to be an attractor of certain correlated systems, and is the distribution which, under appropriate constraints, maximizes the entropy Sq , the basis of nonextensive statistical mechanics. This theory is postulated as a natural extension of the standard (Boltzmann-Gibbs) statistical mechanics, and may explain the ubiquitous appearance of heavy-tailed distribu...

The nonadditive entropy introduced by Tsallis in 1988 has been used different fields and generalizes the Boltzmann extending possibilities of application statistical methods developed context Mechanics. Here we investigate one last points theory that still are under discussion: source term nonextensive transport equation. Based on a simple system, show nonadditivity is direct consequence phase ...

In the present paper, we would like to draw attention to a possible generalized Fisher information that ts well in the formalism of nonextensive thermostatistics. This generalized Fisher information is de ned for densities on R. Just as the maximum Rényi or Tsallis entropy subject to an elliptic moment constraint is a generalized qGaussian, we show that the minimization of the generalized Fishe...

We investigate the nonextensive q-distribution function for a gas in the presence of an external field of force possessing a potential U (r). In the case of a dilute gas, we show that the power law distribution including the potential energy factor term can rigorously be deduced based on kinetic theoretical arguments. This result is significant as a preliminary to the discussion of long range i...

It is presented a generalization of the von Neumann mutual information in the context of Tsallis’ nonextensive statistics. As an example, entanglement between two (two-level) quantum subsystems is discussed. Important changes occur in the generalized mutual information, which measures the degree of entanglement, depending on the entropic index q.

In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics (GST), and is suitable for nonextensive systems, has been investigated. Generalized expressions for the mean-field magnetization and free energy have been established. These new results have been verified by the fact that they transfor...

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is discussed and then formally enlarged in order to hopefully cover a variety of anomalous systems. The generalization concerns nonextensive systems, where nonextensivity is understood in the thermody-namical sense. This generalization was first proposed in 1988 inspired by the probabilistic description ...