Tomaschitz, R. (2013). Powerlaw partition and entropy production of highenergy cosmic rays: Kneeankle structure of the allparticle spectrum, Europhysics Letters (EPL) 104, 19001 (6pp), DOI: 10.1209/02955075/104/19001
Abstract (IOPscience, EDP Sciences, SAO/NASA ADS)
A statistical description of the allparticle cosmicray spectrum is given in the 10^{14}\ \text{eV} to 10^{20}\ \text{eV} interval. The highenergy cosmicray flux is modeled as an ultrarelativistic multicomponent plasma, whose components constitute a mixture of nearly ideal but nonthermal gases of low density and high temperature. Each plasma component is described by an ultrarelativistic powerlaw density manifested as spectral peak in the wideband fit. The “knee” and “ankle” features of the high– and ultrahigh–energy spectrum turn out to be the global and local extrema of the doublelogarithmic E^{3}scaled flux representation in which the spectral fit is performed. The allparticle spectrum is covered by recent data sets from several air shower arrays, and can be modeled as threecomponent plasma in the indicated energy range extending over six decades. The temperature, specific number density, internal energy and entropy of each plasma component are extracted from the partial fluxes in the broadband fit. The grand partition function and the extensive entropy functional of a nonequilibrated gas mixture with powerlaw components are derived in phase space by ensemble averaging.
98.70.Sa Cosmic rays (including sources, origin, acceleration, and interactions)
52.25.Kn Thermodynamics of plasmas
95.30.Tg Thermodynamic processes, conduction, convection, equations of state
Title: 

Powerlaw partition and entropy production of highenergy cosmic rays: Kneeankle structure of the allparticle spectrum 
Authors: 

Tomaschitz, Roman 
Affiliation: 

AA(Department of Physics, Hiroshima University  131 Kagamiyama, HigashiHiroshima 7398526, Japan) 
Publication: 

Europhysics Letters, Volume 104, Issue 1, article id. 19001 (2013). 
Publication Date: 

10/2013 
Origin: 


DOI: 


Bibliographic Code: 

description: Roman Tomaschitz (2013) Powerlaw partition and entropy production of highenergy cosmic rays: Kneeankle structure of the allparticle spectrum, EPL 104, 19001.
Keywords: mixtures of ultrarelativistic gases, stationary nonequilibrium, entropy of nonthermal gas mixture, classical powerlaw ensembles in phase space, grand partition function of mixtures with powerlaw components, extensive entropy functional, ultrarelativistic powerlaw densities, high and ultrahigh–energy cosmic rays, multicomponent plasma, allparticle cosmicray spectrum, global and local extrema of the highenergy cosmicray flux, primary and secondary knees and ankles of the cosmicray flux, thermodynamic parameters (temperature, partial entropies and number densities) of the multicomponent cosmicray plasma
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