Tomaschitz, R. (2014). Ultra-relativistic nonthermal power-law ensembles: Cosmic-ray electrons and positron fraction, Physica A 394, 110-123, DOI: 10.1016/j.physa.2013.09.068


Abstract (ScienceDirect, SAO/NASA ADS)

Thermodynamically stable ultra-relativistic power-law distributions are employed to model the recently measured cosmic-ray electron flux and the positron fraction. The probability density of power-law ensembles in phase space is derived, as well as an extensive entropy functional. The phase-space measure is transformed into a spectral number density, parametrized with the Lorentz factor of the charges and quantized in Fermi statistics. Relativistic power-law ensembles admit positive heat capacities and compressibilities ensuring mechanical stability as well as positive root mean squares quantifying thermodynamic fluctuations. The wideband spectral fitting of dilute nonthermal electron–positron plasmas with ultra-relativistic power-law densities is explained.



05.30.Fk Fermion systems and electron gas

05.70.Ce Thermodynamic functions and equations of state

52.25.Kn Thermodynamics of plasmas

52.27.Ny Relativistic plasmas




Ultra-relativistic nonthermal power-law ensembles: Cosmic-ray electrons and positron fraction



Tomaschitz, Roman



AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan)



Physica A, Volume 394, p. 110-123.

         Publication Date:






         Abstract Copyright:


Elsevier B.V.




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description: Roman Tomaschitz (2014) Ultra-relativistic nonthermal power-law ensembles: Cosmic-ray electrons and positron fraction, Physica A 394, 110.


Keywords: nonthermal power-law distributions, thermodynamic stability and extensivity of entropy, positivity of specific heat and compressibility, ultra-relativistic power-law ensembles in phase space, correlations (covariance matrix) and fluctuations of thermodynamic variables, quantization of stationary non-equilibrium ensembles, hybrid quantum ensembles, hybrid statistics, ultra-relativistic electron–positron plasma, spectral fitting of a two-component plasma with power-law densities, cosmic-ray electron and positron flux, positron fraction, thermodynamic parameters (entropy, temperature, chemical potential, heat capacities) of cosmic-ray electrons/positrons



Relativistic power-law densities admit a stable and extensive entropy functional.

Positive heat capacities and compressibility ensure their thermodynamic stability.

Quantization of nonthermal relativistic power-law ensembles in Fermi statistics.

Spectral fitting of nonthermal plasmas with ultra-relativistic power-law densities.

Entropy, temperature & chemical potential of the cosmic-ray electron/positron flux.



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