We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use this theory to understand the phenomena of negative specific heat in the nonextensive gas. The stability analysis is made on the basis of the second variation of Tsallis entropy. It is...

It is pointed out that the dynamics of the order parameter at a thermal critical point obeys the precepts of the nonextensive Tsallis statistics. We arrive at this conclusion by putting together two well-defined statistical–mechanical developments. The first is that critical fluctuations are...

We go over our finding that the dynamics at the noise-perturbed edge of chaos in logistic maps is comparable to that observed in supercooled liquids close to vitrification. That is, the three major features of glassy dynamics in structural glass formers, two-step relaxation, aging, and a...

The Galton board is a classical device demonstrating geometrically the formation of normal distributions. In view of long-range interactions, governed by nonextensive statistics, the concept of the Galton board is extended providing numerically the corresponding power-law distributions. Within...

By using the Tsallis-based nonextensive statistics, the analysis of the magnitude distribution of several seismic catalogues in Italy was performed. The analysis shows similar values for the q-value, in good agreement with those obtained for other seismo-tectonic settings [e.g. Silva et al....

The generalized dispersion relation for warm electrostatic waves in magnetized plasmas is derived in the context of the nonextensive q-distribution of Tsallis statistics. The dispersion relation is expressed as a function of different values of the nonextensive parameter q, which quantifies the...

Thermodynamical properties of canonical and grand-canonical ensembles of the half-filled two-site Hubbard model have been discussed within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted:...

We present an overview of possible imprints of nonextensivity in particle and nuclear physics. Special emphasis is placed on the intrinsic fluctuations present in the system under consideration as the possible source of nonextensivity. The possible connection of nonextensivity and the...

A recent attempt to extend Shannon's source coding theorem with a nonadditive information content is briefly reviewed. The information entropy used here is a modified form of Tsallis entropy (Tsallis entropy divided by the factor ∑ipiq). In addition we refer to some relations which can be...

The rate coefficient formulae of unimolecular reactions are generalized to the systems with the power-law distributions based on nonextensive statistics, and the power-law rate coefficients are derived in the high and low pressure limits, respectively. The numerical analyses are made of the rate...