We briefly discuss the state of the art on the anomalous dynamics of the Hamiltonian mean field (HMF) model. We stress the important role of the initial conditions for understanding the microscopic nature of the intriguing metastable quasi-stationary states (QSS) observed in the model and the...

The Landau damping of dust acoustic waves propagating in a dusty plasma composed of nonextensive distributed electrons and ions, and Maxwellian distributed dust grains is investigated based on kinetic theory. The dust acoustic waves are found in the range of kvd≪ω≪kvi≪kve, where vα is...

Some results for the black-body radiation obtained in the context of the nonextensive statistical mechanics (normalized approach) are analyzed. Since the obtained elsewhere thermodynamic potential can be expressed in terms of Wright's special function a useful asymptotic expansion can be...

Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rényi entropies, Physica A 389 (2010) 5645] has recently presented some calculations in order to demonstrate the incorrectness of the results obtained from the generalized multinomial coefficients (GMC)...

In this article the β→β′ transformation method is applied to a hydrogen-atom in the canonical ensemble to obtain the re-normalized (real) temperatures associated with the normalized q-expectation values formalism in the Tsallis method of approach. The results indicate that the...

In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail of the Maxwell–Boltzmann distribution function were considered in a series of papers by Mathai and Haubold [A.M....

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential or energy dissipation) on long time scales. Depending on the statistical properties of the fluctuations, we obtain different...

We revisit the first law of thermodynamics for nonextensive statistics by recourse to the optimal Lagrange multipliers (OLM) formalism. We show firstly that information theory allows one to obtain thermodynamics' first law in a general ensemble by dealing just with variations in the density...

It is shown that a recent proposal to give physically meaningful definitions of temperature and pressure within Tsallis formalism for non-extensive thermostatistics leads to expressions which coincide with those obtained by using the standard Boltzmann formalism of statistical mechanics.

We present a new method devised to overcome the intrinsic difficulties associated to the numerical simulations of the Tsallis statistics. We use a standard Metropolis Monte Carlo algorithm at a fictitious temperature T′, combined with a numerical integration method for the calculation of the...