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...

Product probability property, known in the literature as statistical independence, is examined first. Then generalized entropies are introduced, all of which give generalizations to Shannon entropy. It is shown that the nature of the recursivity postulate automatically determines the logarithmic...

We compute numerically the distribution of energies Ω(E,N) for the XY-model with short- and long-range interactions. We find that in both cases the distribution can be fitted to the functional form: Ω(E,N)∼exp(Nφ(E,N)), with φ(E,N) an intensive function of the energy.

We revisit the nonextensive treatment advanced by Tsallis, et al. (Physica A 261 (1998) 534) in order to perform a rather exhaustive study of its properties and compare them with the earlier formalism devised by Curado and Tsallis (J. Phys. A 24 (1991) L69). Some interesting features are in this...

A probability weighting function w(p) for an objective probability p in decision under risk plays a pivotal role in Kahneman–Tversky prospect theory. Although recent studies in econophysics and neuroeconomics widely utilized probability weighting functions, psychophysical foundations of the...