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Nearly degenerate electron distributions and superluminal radiation densities

机译:电子分布和超发光辐射密度几乎退化

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Polylogarithmic fugacity expansions of the partition function, the caloric and thermal equations of state, and the specific heat of fermionic power-law distributions are derived in the nearly degenerate low-temperature/high-density quantum regime. The spectral functions of an ultra-relativistic electron plasma are obtained by averaging the tachyonic radiation densities of inertial electrons with Fermi power-laws, whose entropy is shown to be extensive and stable. The averaged radiation densities are put to test by performing tachyonic cascade fits to the gamma-ray 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. Double-logarithmic plots of the differential tachyon flux exhibit intrinsic spectral curvature, caused by the Boltzmann factor of the electron gas.
机译:在几乎退化的低温/高密度量子态中,得出了分配函数的多对数逸度展开,状态的热学和热学方程以及铁电幂律分布的比热。超相对论性电子等离子体的光谱函数是通过用费米幂律对惯性电子的速激子辐射密度求平均而获得的,费米幂律的熵被证明是广泛且稳定的。通过在低和高发射状态下对TeV blazar Markarian 421的伽马射线光谱进行速激级联拟合,对平均辐射密度进行测试。从光谱拟合(例如温度,数量和内部能量)中提取出该活跃银河原子核中热电子等离子体的估计值。速流级联可重现通过成像大气Cherenkov检测器获得的blazar的静态和猝发光谱。差动超音速通量的双对数图显示了固有的光谱曲率,这是由电子气体的玻尔兹曼因子引起的。

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