In this paper I propose a new way for counting the microstates of a system out of equilibrium. As, according to quantum mechanics, things happen as if a given particle can be found in more than one state at once, I extend this concept to propose the coherent access by a particle to the available...

A new Bell-type inequality is derived through the use of the Tsallis entropy to quantify the dependence between the classical outcomes of measurements performed on a bipartite quantum system, as typical of an EPR experiment. This new inequality is confronted with standard correlation-based Bell...

Earthquakes exhibit complex correlations in space, time, and magnitude. As such, they present a unique example for a time series exhibiting complexity. To uncover hidden dynamic features of seismicity before the Mw6.4, October 12, 2013 earthquake in the South West part of the Hellenic Arc, we...

Assuming sediment movement in channel flow as steady, Tsallis entropy is employed for deriving the distribution of sediment concentration. This distribution is found to be analogous to the distribution obtained from a random walk model. The sediment concentration distribution parameters are...

We report on the time dependent solutions of the q-generalized Schrödinger equation proposed by Nobre et al. (2011). Here we investigate the case of two free particles and also the case where two particles were subjected to a Moshinsky-like potential with time dependent coefficients. We work...

Several experimental measurements are expressed in the form of one-dimensional profiles, for which there is a scarcity of methodologies able to classify the pertinence of a given result to a specific group. The polarization curves that evaluate the corrosion kinetics of electrodes in corrosive...

For the generalized statistical mechanics based on the Tsallis entropy, a variational perturbation approximation method with the principle of minimal sensitivity is developed by calculating the generalized free energy up to the third order in variational perturbation expansion. The approximation...

The entropy production rate for fractional diffusion processes using Shannon entropy was calculated previously, which showed an apparently counter intuitive increase with the transition from dissipative diffusion behaviour to reversible wave propagation. Rényi and Tsallis entropies, which have...

Microcanonical equations for some of the most usual thermodynamic properties of a system, suitable for molecular dynamics simulations, are derived from the Tsallis entropy functional using both the usual definition of temperature as a derivative of entropy and a modified physical one introduced...

In this paper, the iterated conditional modes optimization method of a Markov random field technique for image segmentation is generalized based on Tsallis statistics. It is observed that, for some q entropic index values the new algorithm performs better segmentation than the classical one. The...