Self-consistent thermodynamics for the Tsallis statistics in the grand canonical ensemble: Nonrelativistic hadron gas

In the present paper, the Tsallis statistics in the grand canonical ensemble was reconsidered in a general form. The thermodynamic properties of the nonrelativistic ideal gas of hadrons in the grand canonical ensemble was studied numerically and analytically in a finite volume and the thermodynamic limit. It was proved that the Tsallis statistics in the grand canonical ensemble satisfies the requirements of the equilibrium thermodynamics in the thermodynamic limit if the thermodynamic potential is a homogeneous function of the first order with respect to the extensive variables of state of the system and the entropic variable $z=1/(q-1)$ is an extensive variable of state. The equivalence of canonical, microcanonical and grand canonical ensembles for the nonrelativistic ideal gas of hadrons was demonstrated.Comment: 8 figure

Comparison of Tsallis statistics with the Tsallis-factorized statistics in the ultrarelativistic pppp collisions

The Tsallis statistics was applied to describe the experimental data on the transverse momentum distributions of hadrons. We considered the energy dependence of the parameters of the Tsallis-factorized statistics, which is now widely used for the description of the experimental transverse momentum distributions of hadrons, and the Tsallis statistics for the charged pions produced in $pp$ collisions at high energies. We found that the results of the Tsallis-factorized statistics deviate from the results of the Tsallis statistics only at low NA61/SHINE energies when the value of the entropic parameter is close to unity. At higher energies, when the value of the entropic parameter deviates essentially from unity, the Tsallis-factorized statistics satisfactorily recovers the results of the Tsallis statistics.Comment: 8 figures. arXiv admin note: text overlap with arXiv:1607.0195

Equilibrium statistical mechanics for incomplete nonextensive statistics

The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical results for the ideal gas it is shown that taking the thermodynamic limit, with $z=q/(1-q)$ being an extensive variable of state, the incomplete nonextensive statistics satisfies the requirements of equilibrium thermodynamics. The thermodynamical potential of the statistical ensemble is a homogeneous function of the first degree of the extensive variables of state. In this case, the incomplete nonextensive statistics is equivalent to the usual Tsallis statistics. If $z$ is an intensive variable of state, i.e. the entropic index $q$ is a universal constant, the requirements of the equilibrium thermodynamics are violated.Comment: 7 page

Making More Efficient the Dissemination of the Information in the Field of Anti-Aging through Information Technology

ICT have become extremely important because they allow everybody to participate at the Information Society, in spite of under-privileged personal or social situation. Health Education Informatics Systems (HEIS), as a method for facilitating the exchange of information between specialists, physicians and patients, or authorized organisations, become a necessary modern tool which offer quality solutions, a correct source of information and pertinent instrument for taking decisions. The members of the aging society must be motivated to have access through ICT at knowledge that can improve and prolong the active life. The dramatic demographic transformations of our century have imposed the reconsideration of the social policies and of the use of HEIS for disseminating the anti-aging information, for empowering the person regarding his own state of health, and also for the real involving of the elderly in using the Internet. AgingNice is a multidisciplinary complex system that belongs to the health informatics systems with particularization in the anti-aging domain and that allows the sharing of the knowledge concerning the specific research and the promotion of the theoretical and practical information, both among the stakeholders from the medical area and at the person level.anti-aging, elderly, ICT, health informatics systems, web services