Report
Modified Fermi Energy of Electrons in a Superhigh Magnetic Field
| العنوان: | Modified Fermi Energy of Electrons in a Superhigh Magnetic Field |
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| المؤلفون: | Zhu, C., Gao, Z. F., Li, X. D., Wang, N., Yuan, J. P., Peng, Q. H. |
| سنة النشر: | 2016 |
| المجموعة: | Astrophysics |
| مصطلحات موضوعية: | Astrophysics - High Energy Astrophysical Phenomena |
| الوصف: | In this paper, we investigate the electron Landau-level stability and its influence on the electron Fermi energy, $E_{\rm F}(e)$, in the circumstance of magnetars, which are powered by magnetic field energy. In a magnetar, the Landau levels of degenerate and relativistic electrons are strongly quantized. A new quantity $g_{n}$, the electron Landau-level stability coefficient is introduced. According to the requirement that $g_{n}$ decreases with increasing the magnetic field intensity $B$, the magnetic-field index $\beta$ in the expression of $E_{\rm F}(e)$ must be positive. By introducing the Dirac$-\delta$ function, we deduce a general formulae for the Fermi energy of degenerate and relativistic electrons, and obtain a particular solution to $E_{\rm F}(e)$ in a superhigh magnetic field (SMF). This solution has a low magnetic-field index of $\beta=1/6$, compared with the previous one, and works when $\rho\geq 10^{7}$~g cm$^{-3}$ and $B_{\rm cr}\ll B\leq 10^{17}$~Gauss. By modifying the phase space of relativistic electrons, a SMF can enhance the electron number density $n_e$, and decrease the maximum of electron Landau level number, which results in a redistribution of electrons. According to Pauli exclusion principle, the degenerate electrons will fill quantum states from the lowest Landau level to the highest Landau level. As $B$ increases, more and more electrons will occupy higher Landau levels, though $g_{n}$ decreases with the Landau level number $n$. The enhanced $n_{e}$ in a SMF means an increase in the electron Fermi energy and an increase in the electron degeneracy pressure. The results are expected to facilitate the study of the weak-interaction processes inside neutron stars and the magnetic-thermal evolution mechanism for megnetars. Comment: One Table and four figures, published in Mod. Phys. Lett. A Volume No.31, Issue No. 11 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S021773231650070X |
| URL الوصول: | http://arxiv.org/abs/1603.01933 |
| رقم الانضمام: | edsarx.1603.01933 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S021773231650070X |
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