We investigate the nonextensive q-distribution function for a gas in the presence of an external field of force possessing a potential U(r). In the case of a dilute gas, we show that the power-law distribution including the potential energy factor term can rigorously be deduced based on kinetic...

We demonstrate and discuss the process of gaining information and show an example in which some specific way of gaining information about an object results in the Tsallis–and not the Shannon–form of entropy.

The thermal entanglement of the Hubbard dimer (two-site Hubbard model) has been studied with the nonextensive statistics. We have calculated the auto-correlation (Oq), pair correlation (Lq), concurrence (Γq) and conditional entropy (Rq) as functions of entropic index q and the temperature T....

Nonextensive aspects of the degree distribution in Watts–Strogatz (WS) small-world networks, PSW(k), have been discussed in terms of a generalized Gaussian (referred to as Q-Gaussian) which is derived by the three approaches: the maximum-entropy method (MEM), stochastic differential equation...

We present an overview of information theory approach (both in its extensive and nonextensive versions) applied to high-energy multiparticle production processes. It will be illustrated by analysis of single-particle distributions measured in proton–proton, proton–antiproton and nuclear...

The analytical and computational studies of various isolated classical Hamiltonian systems including long-range interactions suggest that the N→∞ and t→∞ limits do not commute for entire classes of initial conditions. This is, for instance, the case for inertial planar rotators whenever...

The Barabási–Bianconi (BB) fitness model can be solved by a mapping between the original network growth model to an idealized bosonic gas. The well-known transition to Bose–Einstein condensation in the latter then corresponds to the emergence of “super-hubs” in the network model....

We have used the generalized two-atom ideal gas model in Tsallis statistics for the statistical description of a real gas. By comparing the heat capacity with the experimental results for the two-atom molecule gases such as N2, O2 and CO, we find that these gases appear to be extensive at normal...

Examples of joint probability distributions are studied in terms of Tsallis’ nonextensive statistics both for correlated and uncorrelated variables, in particular it is explicitely shown how correlations in the system can make Tsallis entropy additive and that the effective nonextensivity...

We analyze an ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fluctuating variables. It generalizes Lindhard’s thermodynamic uncertainty relations known in literature.