Ultra-relativistic nonthermal power-law ensembles: Cosmic-ray electrons and positron fraction
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, parameterized 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.
Year of publication: |
2014
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Authors: | Tomaschitz, Roman |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 394.2014, C, p. 110-123
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Publisher: |
Elsevier |
Subject: | Nonthermal power-law distributions | Stability and extensivity of entropy | Quantization of stationary non-equilibrium ensembles | Hybrid quantum ensembles | Ultra-relativistic electron–positron plasma | Spectral fitting of a two-component plasma with power-law densities | Cosmic-ray electron/positron flux |
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