There is a conception that Boltzmann-Gibbs statistics cannot yield the long tail distribution. This is the justification for the intensive research of nonextensive entropies (i.e. Tsallis entropy and others). Here the error that caused this misconception is explained and it is shown that a long tail distribution exists in equilibrium thermodynamics for more than a century.

Recently, analytical solutions of a nonlinear Fokker-Planck equation describing anomalous diffusion with an external linear force were found using a nonextensive thermostatistical Ansatz. We have extended these solutions to the case when an homogeneous absorption process is also present. Some peculiar aspects of the interrelation between the deterministic force, the nonlinear diffusion, and the...

We study the applications of nonextensive Tsallis statistics to high energy and hadron physics. These include studies [Formula: see text] collisions, equation state QCD, as well Bose–Einstein condensation. also analyze connections with thermofractals, address some conceptual aspects fractal approach, which are expressed in terms renormalization group self-energy corrections parton mass. associa...

In this paper, new results on the analysis in hadron-hadron scattering (πN , KN , KN , etc) are obtained by using the nonextensive quantum entropy and principle of minimum distance in the space of quantum states (PMD-SQS). So, using [SJ (p), Sθ(q), SJθ(p), SJθ(p, q)]-Tsallis-like scattering entropies, the optimality as well as the nonextensive statistical behavior of the [J and θ]-quantum syste...

We show that using nonextensive entropy can lead to spontaneous symmetry breaking when a parameter changes its value from that applicable for a symmetric domain, as in field theory. We give the physical reasons and also show that even for symmetric Dirichlet priors, such a definition of the entropy and the parameter value can lead to asymmetry when entropy is maximized.

We consider the relation between the Boltzmann temperature and the Lagrange multipliers associated with energy average in the nonextensive thermostatistics. In Tsallis’ canonical ensemble, the Boltzmann temperature depends on energy through the probability distribution unless q = 1. It is shown that the so-called ’physical temperature’ introduced in [Phys. Lett. A 281 (2001) 126] is nothing but...

We discuss the glassy dynamics recently found in the meta-equilibrium quasi-stationary states (QSS) of the HMF model. The relevance of the initial conditions and the connection with Tsallis nonextensive thermostatistics is also addressed. c © 2004 Elsevier B.V. All rights reserved. PACS: 05.50.+q; 05.70.Fh; 64.60.Fr

The present paper studies continuity of generalized entropy functions and relative entropies defined using the notion of a deformed logarithmic function. In particular, two distinct definitions of relative entropy are discussed. As an application, all considered entropies are shown to satisfy Lesche’s stability condition. The entropies of Tsallis’ nonextensive thermostatistics are taken as exam...

We analyze the generalized uncertainty principle (GUP) impact onto nonextensive black hole thermodynamics by using R\'enyi entropy. show that when introducing GUP effects, both entropy and temperature associated with holes have finite values at end of evaporation process. also study sparsity radiation, temperature, compare it Hawking radiation. Finally, we investigate modifications to radiation...

Tsallis' thermostatistics [1–14] is by now recognized as a new paradigm for statistical mechanical considerations. However, the generalization of thermo-dynamics' zero-th law to a nonextensive scenario is plagued by difficulties [2]. In this work we suggest a way to overcome this problem.