Abstract The de Rham–Gabadadze–Tolley black string solution is a cylindrically symmetric and static of the Einstein field equation with graviton mass term. For asymptotically Sitter solution, it possible to obtain two event horizons corresponding thermodynamic systems. Rényi entropy one entropic forms which suitable deal nonextensive properties string. In this work, we investigated possibility ...

This paper explores the use of the nonextensive q-distribution in the context of adaptive stochastic searching. The proposed approach consists of generating the “probability” of moving from one point of the search space to another through a probability distribution characterized by the q entropic index of the nonextensive entropy. The potential benefits of this technique are investigated by inc...

Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the magnetic-field dependence of the magnetization have been calculated for various values of the entropic index q: the result for q = 1 in the...

The Kolmogorov-Sinai entropy in the sense of Tsallis under Bernoulli shifts was obtained by Mesón and Vericat [J. Math. Phys. 37, 4480(1996)]. In this paper, we propose a revised generalized Kolmogorov-Sinai-q entropy under Markov shifts. The form of this generalized entropy with factor q is nonextensive. The new generalized entropy contains the classical Kolmogorov-Sinai entropy and Renýı entr...

The dust-acoustic shock waves have been theoretically investigated using reductive perturbation technique. An unmagnetized four-component dusty plasma system consisting of nonextensive q-distributed electrons, Boltzmann distributed ions, and negatively as well as positively charged dust particles has been considered. The solution of Burgers equation in planar geometry is numerically analyzed. I...

Density and temperature conditions in many stellar core (like the solar core) imply the presence of nonideal plasma effects with memory and long-range interactions between particles. This aspect suggests the possibility that the stellar core could not be in a global thermodynamical equilibrium but satisfies the conditions of a metastable state with a stationary (nonextensive) power law distribu...

nonextensive statistical mechanics is a one-parameter description of correlated states. In this paper we use a translated entropic index: 1-q q →. The essence of this translation is to improve the mathematical symmetry of the q-algebra and make q directly proportional to the nonlinear coupling. A conjugate transformation is defined 2 2 ˆ q q q − + ≡ which provides a dual mapping between the hea...

Within an early Universe scenario, nonextensive thermostatistics (NET) is investigated on the basis of data concerning primordial Helium abundance. We obtain first order corrections to the energy densities and weak interactions rates, and use them to compute the deviation in the primordial Helium abundance. After compare with observational results, a severe bound is stablished. PACS number(s): ...

We introduce a field-theoretic approach for describing the critical behavior of nonextensive systems, systems displaying global correlations among their degrees freedom, encoded by parameter q. As some applications, we report, to our knowledge, first analytical computation both universal static and dynamic q-dependent exponents O(N) vector models, valid all loop orders |q−1|<1. Then emerges new...