Nonextensive methods in turbulence and particle physics

Abstract

We describe some recent applications of Tsallis statistics in fully developed hydrodynamic turbulence and high energy physics. For many of these applications nonextensive properties arise from spatial fluctuations of the temperature or the energy dissipation rate. The entropic index q is related to the relative magnitude of these fluctuations. We concentrate on a recently derived formula for the energy dependence of q that is experimentally verified by fits of cross sections in e+e- annihilation experiments. Evaluating this formula for much smaller energies E of the order of the recombination temperature, one obtains the correct order of magnitude of the fluctuations of the cosmic microwave background. Evaluating it for E going to infinity, one obtains (under certain assumptions) possible evidence for the existence of 6 compactified dimensions, as predicted by superstring theory.

11 pages. To appear in Physica A (proceedings of the conference 'NEXT2001')

References in corpus (5)

• Dynamical foundations of nonextensive statistical mechanics
• Non-Gaussian equilibrium in a long-range Hamiltonian system
• General pseudoadditivity of composable entropy prescribed by existence of equilibrium
• On the small-scale statistics of Lagrangian turbulence
• Solar reaction rates, non-extensivity and quantum uncertainty

Cited by in corpus (17)

• On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics
• Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• Application of nonextensive statistics to particle and nuclear physics
• Metastable states, anomalous distributions and correlations in the HMF model
• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• Nonextensive statistical effects on the relativistic nuclear equation of state
• Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields
• Anomalous sensitivity to initial conditions and entropy production in standard maps: Nonextensive approach
• Many-body q-exponential distribution prescribed by factorization hypothesis
• Universality of Tsallis Non-Extensive Statistics and Fractal Dynamics for Complex Systems
• Fluctuation of energy in the generalized thermostatistics
• Numerical calculation of the energy relative fluctuation for a system in contact with a finite heat bath
• Large Transverse Momenta in Statistical Models of High Energy Interactions
• Analyzing Non-Extensivity of $\eta$-spectra in Relativistic Heavy Ion Collisions at $\sqrt{s_{NN}}=200$ GeV
• Thermodynamics arising from Tsallis' thermostatistics
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV