Tomaschitz, R. (2008). Tachyonic γ-ray wideband of an ultra-relativistic electron plasma: Spectral fitting with Fermi power-law densities, Physica A 387, 3480-3494, DOI: 10.1016/j.physa.2008.02.024
Abstract (ScienceDirect, SAO/NASA ADS)
Fermionic power-law distributions are derived by the second quantization of classical power-law ensembles, and applied to ultra-relativistic electron populations in the Galactic center. The γ-ray flux from the direction of the compact central source Sagittarius A* is fitted with a superluminal cascade spectrum. In this way, estimates of the radiating electron plasma in the Galactic center region are obtained, such as the power-law index, temperature, particle number, and internal energy. The spectral averaging of the tachyonic radiation densities with Fermi power-laws is explained. Fugacity expansions of the thermodynamic variables (thermal equation of state, entropy, isochoric heat capacity, and isothermal compressibility) are obtained in the quasiclassical high-temperature/low-density regime, where the spectral fit is carried out. The leading quantum correction to these variables is calculated, and its dependence on the electronic power-law index and the thermal wavelength is discussed. Excess counts of cosmic rays from the Galactic center region are related to the plasma temperature inferred from the cascade fit.
Keywords: Superluminal radiation; Tachyonic cascade spectra; Fermi power-law ensembles; Ultra-relativistic electron plasma; Quasiclassical fugacity expansion; Spectral averaging
PACS classification codes: 05.30.Fk; 05.70.Ce; 52.25.Kn; 95.30.Tg
1. Introduction
2. Thermodynamic variables of Fermi power-law ensembles
3. Equations of state, entropy, and heat capacity of fermionic power-law densities in the quasiclassical regime
3.1. Low-temperature asymptotics
3.2. Fugacity expansion and thermal wavelength in the high-temperature limit
4. Superluminal γ-rays from the Galactic center: Tachyonic spectral maps and electronic source distributions
5. Conclusion
Acknowledgements
References
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Title: |
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Tachyonic γ -ray wideband of an ultra-relativistic electron plasma: Spectral fitting with Fermi power-law densities |
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Authors: |
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Tomaschitz, Roman |
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AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan. Tel.: +81 824 247361; fax: +81 824 240717.) |
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Publication: |
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Physica A, Volume 387, Issue 14, p. 3480-3494. |
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Publication Date: |
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06/2008 |
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description: Roman Tomaschitz (2008) Tachyonic γ-ray wideband of an ultra-relativistic electron plasma: Spectral fitting with Fermi power-law densities, Physica A 387, 3480.
Keywords: tachyonic γ-ray cascades from the Galactic center, Sagittarius A*, ultra-relativistic electron plasma, entropy and heat capacity of fermionic power-law distributions, quasiclassical fugacity expansion, equations of state, quantization of Boltzmann power-law ensembles, superluminal spectral densities of ultra-relativistic electrons, polarized superluminal radiation, transversal and longitudinal cascades of tachyonic gamma-rays
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