Authors: Ting-Hang Pei
The explanation for the pressure against gravity in the white dwarf star is based on the ideally degenerate Fermi electron gas at the temperature of absolute zero. It predicts the upper mass limit of the white dwarf star is 1.44 Mʘ. However, more conditions have to be considered like temperature and charges. In this research, first we use the grand partition function in statistical mechanics to build the expressions of the electron gas pressure and the particle number depending on temperature. At 10^7 K, there is about 1.50x10^(-4) of total electrons exceeding the Fermi energy. Because some of this Fermi electron gas are the relativistic electrons, then we consider that some of them can escape the gravity resulting in a positively charged star. These rest positive charges produce the strong repulsive force and the pressure to against gravity. Furthermore, due to the quantum effect, some electrons can tunnel the potential barrier even their energy is less than the maximal potential. By theoretical analysis, it is possible to be a positively charged star with 2.708x10^20 C as long as the attraction force is strong enough. The increases pressure is almost the same as that of the Fermi electron gas.
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