We investigate the fluctuation of the energy in the framework of Tsallis statistics and find the correlation plays an important role in energy fluctuations. In Tsallis statistics, the correlation is induced by the nonextensivity of Tsallis entropy and exists between particles even if the...

Implications from a thermostatistics based on normalized Tsallis entropy, introduced by Rajagopal and Abe (Phys. Rev. Lett. 83 (1999) 1911) are analyzed. In particular, this normalization gives the thermodynamic stability, Cq0, for Tsallis formalism, leading to a natural extension to the...

Recently the Generalized Genetic Algorithm has been proposed, based on genetic algorithms and Tsallis statistics. Here, we study molecular preferences of the simple molecules and polypeptides by coupling the Generalized Genetic Algorithm and both a classical force field and a semi-empirical...

We prove a theorem stating that, within an interesting class of stationary solutions of the Liouville equation, the Tsallis q-distributions are the only ones that satisfy a condition which guarantees the existence of an integrating factor for the heat. The functional forms of the distribution as...

Oikonomou [Th. Oikonomou, Physica A 386 (2007) 119] has published a calculation which purports to show that the Tsallis and Rényi entropies can be obtained from the generalized multinomial coefficients. In this paper, we prove that the method of generalized multinomial coefficients failed to...

For a paradigmatic case, the standard map, we discuss how the statistical description of the approach to equilibrium is related to the sensitivity to the initial conditions of the system. Using a numerical analysis we present an anomalous scenario that may give some insight on the foundations of...

The universal character of the dynamics of various extreme phenomena is an outstanding scientific challenge. We show that X-ray flux and Dst time series during powerful solar flares and intense magnetic storms, respectively, obey a nonextensive energy distribution function for earthquake...

We present some formulae which q-logarithmic and q-exponential functions introduced in Tsallis statistics satisfy. Exact expression of the Mellin transform of q-exponential function is given. Moreover, the q-generalization of the digamma function is presented.

We investigate the dispersion relation and Landau damping of ion acoustic waves in the collisionless magnetic-field-free plasma when the plasma is described by the nonextensive q-distributions of Tsallis statistics. We show that the increased numbers of superthermal particles and low velocity...

Power law scaling is observed in many physical, biological and socio-economical complex systems and is now considered an important property of these systems. In general, power law exists in the central part of the distribution. It has deviations from power law for very small and very large...