Tomaschitz, R. (2010). Nearly degenerate electron distributions and superluminal radiation densities, Physica B 405, 10221032, DOI: 10.1016/j.physb.2009.10.048
Abstract (ScienceDirect, SAO/NASA ADS)
Polylogarithmic fugacity expansions of the partition function, the caloric and thermal equations of state, and the specific heat of fermionic powerlaw distributions are derived in the nearly degenerate lowtemperature/highdensity quantum regime. The spectral functions of an ultrarelativistic electron plasma are obtained by averaging the tachyonic radiation densities of inertial electrons with Fermi powerlaws, whose entropy is shown to be extensive and stable. The averaged radiation densities are put to test by performing tachyonic cascade fits to the γray spectrum of the TeV blazar Markarian 421 in a low and high emission state. Estimates of the thermal electron plasma in this active galactic nucleus are extracted from the spectral fits, such as temperature, number count, and internal energy. The tachyonic cascades reproduce the quiescent as well as a burst spectrum of the blazar obtained with imaging atmospheric Cherenkov detectors. Doublelogarithmic plots of the differential tachyon flux exhibit intrinsic spectral curvature, caused by the Boltzmann factor of the electron gas.
Keywords: Fermi powerlaw ensembles; Nearly degenerate electron plasma; Superluminal radiation; Tachyonic cascade spectra; Spectral curvature; γRay blazars; Negative masssquare; Transversal and longitudinal radiation modes; Polylogarithms
PACS classification codes: 52.25.Kn; 52.27.Ny; 71.10.Ca; 95.30.Tg
1. Introduction
2. Ultrarelativistic Fermi power laws
3. Thermodynamic variables of nearly degenerate powerlaw distributions
4. Tachyonic cascade spectra
5. Conclusion
Acknowledgements
Appendix A. Incomplete integrals of fermionic powerlaw densities
A.1. Fugacity expansion at low temperature and high density
A.2. Zerotemperature degeneracy
A.3. Number count, internal energy, and partition function in the nearly degenerate regime
Appendix B. Polylogarithms, Stirling numbers, and Gegenbauer polynomials
References
Title: 

Nearly degenerate electron distributions and superluminal radiation densities 
Authors: 

Tomaschitz, Roman 
Affiliation: 

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

Physica B: Physics of Condensed Matter, Volume 405, Issue 3, p. 10221032. 
Publication Date: 

02/2010 
Origin: 


PACS Keywords: 

Thermodynamics of plasmas, Relativistic plasmas, Electron gas, Fermi gas, Thermodynamic processes, conduction, convection, equations of state 
DOI: 


Bibliographic Code: 

description: Roman Tomaschitz (2010) Nearly degenerate electron distributions and superluminal radiation densities, Physica B 405, 1022.
Keywords: fermionic powerlaw ensembles, nearly degenerate electron gas, ultrarelativistic Fermi power laws, quantum statistics of nonthermal fermion systems, extensive entropy and thermodynamic stability, internal energy, specific heat, equations of state, fugacity expansion, polylogarithms, ultrarelativistic electron plasma of TeV γray blazars, Markarian 421, superluminal spectral densities of ultrarelativistic electrons, tachyonic cascade spectra, transversal and longitudinal γray cascades, intrinsic spectral curvature, tachyonic gammarays
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