Application of nonextensive statistics to particle and nuclear physics

We present an overview of possible imprints of non-extensitivity in particle and nucler physics. Special emphasis is put on the intrinsic fluctuations present in the system under consideration as the possible source of nonextensivity. The possible connection of nonextensivity and the self organized criticality apparently being observed in some cosmic rays and hadronic experiments will also be discussed.Comment: Contribution to International School and Conference on "Non Extensive Thermodynamics and physical applications", Villasimius-Capo Boi (Cagliari), Italy, 23-30 March 200

Self-organized criticality in atmospheric cascades

We argue that atmospheric cascades can be regarded as example of the self-organized criticality and studied by using Levy flights and nonextensive approach. It allows us to understand the scale-invariant energy fluctuations inside cascades in a natural way.Comment: gz-compressed .tar file containing LaTeX file and 5 PS files with figures, 4 pages altogether (Nucl. Phys. B style, espcrc2.sty file attached) Presented at XI International Symposium On Very High Energy Cosmic Ray Interaction, Campinas, Brazil, July 17-21, 2000. To be published in Nucl. Phys. B (Proc. Suppl.). Some typos correcte

Rapidity Spectra Analysis in Terms of Non Extensive Statistic Approach

We provide description of rapidity spectra of particles produced in p-anti-p collisions using anomalous diffusion approach to account for their non-equilibrium character. In particular, we exhibit connection between multiproduction processes and anomalous diffusion described through the nonlinear Focker-Planck equation with nonlinearity given by the nonextensivity parameter q describing the underlying Tsallis q-statistics and demonstrate how it leads to the Feynman scaling violation in these collisions. The q parameter obtained this way turns out to be closely connected to parameter 1/k converting the original poissonian multiplicity distribution to its observed Negative Binomial form. The inelasticity of reaction has been also calculated and found to slightly decrease with the increasing energy of reaction. Keywords: inelasticity, rapidity spectra, nonextensivityComment: 4 pages, 4 figures, Presented at XII International Symposium on Very High Energy Cosmic Ray Interactions, CERN, Switzerland, 15-20 July 200

Quantum Clan Model description of Bose Einstein Correlations

We propose a novel numerical method of modelling Bose-Einstein correlations (BEC) observed among identical (bosonic) particles produced in multiparticle production reactions. We argue that the most natural approach is to work directly in the momentum space in which the Bose statistics of secondaries reveals itself in their tendency to bunch in a specific way in the available phase space. Because such procedure is essentially identical to the clan model of multiparticle distributions proposed some time ago, therefore we call it the Quantum Clan Model.Comment: Talk given at 4th Budapest Winter School On Eavy Ion Physics (2004), 6 pages, two figures; version published in APH (HIP

The imprints of nonextensive statistical mechanics in high energy collisions

To describe high energy collisions one widely uses thermodynamical methods and concepts which follow the classical Boltzmann-Gibbs (BG) approach. In many cases, however, either some deviations from the expected behaviour are observed experimentally or it is known that the conditions necessary for BG to apply are satisfied only approximately. In other branches of physics where such situations are ubiquitous, the popular remedy is to resort, instead, to the so called nonextensive statistics, the most popular example of which is Tsallis statistics. We shall provide here an overview of possible imprints of non-extensitivity existing both in high energy cosmic ray physics and in multiparticle production processes in hadronic collisions, in particular in heavy ion collisions. Some novel proposition for the interpretation of the nonextensitivity parameter q present in such circumstances will be discussed in more detail.Comment: Invited talk presented by G.Wilk at International Workshop on Classical and Quantum Complexity and Non-extensive Thermodynamics (Complexity 2000), Denton, University of North Texas, April 3-6, 2000. LaTeX file and 5 PS figures, 23 pages altogether. Some misprints corrected and references updated. Revised version to be published in Chaos, Solitons and Fractals (2001

Nonextensive critical effects in relativistic nuclear mean field models

We present a possible extension of the usual relativistic nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of possible intrinsic fluctuations caused by the environment. Rather than individually identifying their particular causes we concentrate on the fact that such effects can be summarily incorporated in the changing of the statistical background used, from the usual (extensive) Boltzman-Gibbs one to the nonextensive taken in the form proposed by Tsallis with a dimensionless nonextensivity parameter $q$ responsible for the above mentioned effects (for $q \rightarrow 1$ one recovers the usual BG case). We illustrate this proposition on the example of the QCD-based Nambu - Jona-Lasinio (NJL) model of a many-body field theory describing the behavior of strongly interacting matter presenting its nonextensive version. We check the sensitivity of the usual NJL model to a departure from the BG scenario expressed by the value of $| q - 1|$, in particular in the vicinity of critical points.Comment: 7 pages, 10 figure

Multiparticle production processes from the Information Theory point of view

We look at multiparticle production processes from the Information Theory point of view, both in its extensive and nonextensive versions. Examples of both symmetric (like pp or AA) and asymmetric (like pA) collisions are considered showing that some ways of description of experimental data used in the literature are of more general validity than usually anticipated.}Comment: Talk given at 4th Budapest Winter School On Heavy Ion Physics (2004) 16 pages, 5 figures; version published in APH (HIP