It is well known that the Poisson–Boltzmann (PB) equation yields the exact counterion density around charged objects in the weak coupling limit. In this paper, we generalize the PB approach to account for coupling of arbitrary strength by making use of Tsallis q-exponential distributions. Both...

We consider statistically independent non-identical subsystems with different entropic indices q1 and q2. A relation between q1, q2 and q′ (for the entire system) extends a power-law for entropic index as a function of distance r. A few examples illustrate a role of the proposed constraint...

The energy distribution and the energy fluctuation in the Tsallis canonical ensemble are studied with the OLM formalism but following a new way. The resulting formula for the energy fluctuation is not the same as that in previous work [L.Y. Liu, J.L. Du, Physica A 387 (2008) 5417]. In...

In this paper we focus on the statistical distribution of time intervals between geomagnetic reversals. Recently the Tsallis distribution was pointed out as a possible alternative to previous proposals. We have performed statistical tests to further prove this and find the parameters of the...

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other one is associated with the establishment of local...

The statistics of return distributions on various time scales constitutes one of the most informative characteristics of the financial dynamics. Here, we present a systematic study of such characteristics for the Polish stock market index WIG20 over the period 04.01.1999–31.10.2005 for the...

We apply the broad histogram method to an Ising system in the context of the recently reformulated Generalized Thermostatistics, and we claim it to be a very efficient simulation tool for this non-extensive statistics. Results are obtained for the nearest-neighbour version of the Ising model for...

We compute the internal energy of different Ising-type models, both long and short range, under Tsallis statistics using the microcanonical and the canonical ensemble and we discuss under which conditions both ensembles give equivalent results.

We study the center of mass motion of single endodermal Hydra cells in two kinds of cellular aggregates: endodermal and ectodermal. The mean square displacement displays anomalous super-diffusion with 〈x2〉∼tα where α1. The velocity distribution function is non-Gaussian and fits well the...

Generalized Bose–Einstein and Fermi–Dirac distributions are analyzed in nonextensive Tsallis statistics by considering the normalized constraints in the effective temperature approach. These distributions are worked in D-dimension by employing a general density of states...