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

Roman Tomaschitz

Physica A: Statistical Mechanics and its Applications, 2014, vol. 394, issue C, 110-123

Abstract: 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.

Keywords: 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 (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711300945X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:394:y:2014:i:c:p:110-123

DOI: 10.1016/j.physa.2013.09.068

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().