Ultrarelativistic generalized Lorentzian thermodynamics and the differential cosmic ray energy flux

Abstract

We apply the ultrarelativistic generalized Lorentzian quasi-equilibrium thermodynamic energy distribution to the energy spectrum of galactic cosmic ray fluxes. The inferred power law slopes contain a component which evolves with cosmic ray energy in steps of thirds, resembling the sequence of structure functions in fully developed Kolmogorov turbulence. Within the generalized thermodynamics the chemical potential can be estimated from the deviation of the fluxes at decreasing energy. Both may throw some light on the cosmic ray acceleration mechanism to very high energies.

7 pages, 2 figures, prepared for a Meeting on Cosmic Rays and Power Law Tails

References in corpus (7)

• The microphysics of collisionless shock waves
• Relativistic Shocks: Particle Acceleration and Magnetization
• The origin of galactic cosmic rays
• Evidence for a mixed mass composition at the `ankle' in the cosmic-ray spectrum
• Gibbsian theory of power law distributions
• Beyond Gibbs-Boltzmann-Shannon: General Entropies -- The Gibbs-Lorentzian Example
• An Alternative Explanation of the Varying Boron to Carbon in Galactic Cosmic rays

Cited by in corpus (4)

• On the applicability of $\kappa$-distributions
• Lorentzian Entropies and Olbert's $\kappa$-distribution
• Olbert's kappa Fermi and Bose distributions
• Olbertian partition function in scalar field theory