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Modified Fermi energy of electrons in a superhigh magnetic field
Zhu, Cui1,2,3; Gao, Zhi Fu1,2; Li, Xiang Dong4,5; Wang, Na1; Yuan, Jian Ping1; Peng, Qiu He4
2016-04-10
Source PublicationMODERN PHYSICS LETTERS A
Volume31Issue:11
AbstractIn this paper, we investigate the electron Landau level stability and its influence on the electron Fermi energy, E-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-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-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 >= 10(7) g cm(-3) and B-cr << B <= 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 ofthe weak-interaction processes inside neutron stars and the magnetic-thermal evolution mechanism for magnetars.
KeywordNeutron Star Equation Of State Fermi Energy
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1142/S021773231650070X
WOS KeywordNEUTRON-STARS ; NUCLEAR-MATTER ; X-RAY ; EMISSION ; STATE ; REPEATERS ; EQUATION ; PHYSICS ; DECAY
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Nuclear ; Physics, Particles & Fields ; Physics, Mathematical
WOS IDWOS:000374542200006
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16210
Collection宇宙伽马暴、中子星及相关物理研究团组
Affiliation1.Chinese Acad Sci, Xinjiang Astron Observ, 150 Sci 1 St, Urumqi, Xinjiang, Peoples R China
2.Chinese Acad Sci, Key Lab Radio Astron, 2 West Beijing Rd, Nanjing 210008, Jiangsu, Peoples R China
3.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
4.Nanjing Univ, Sch Astron & Space Sci, Nanjing 210008, Jiangsu, Peoples R China
5.Nanjing Univ, Minist Educ, Key Lab Modern Astron & Astrophys, Nanjing 210008, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Zhu, Cui,Gao, Zhi Fu,Li, Xiang Dong,et al. Modified Fermi energy of electrons in a superhigh magnetic field[J]. MODERN PHYSICS LETTERS A,2016,31(11).
APA Zhu, Cui,Gao, Zhi Fu,Li, Xiang Dong,Wang, Na,Yuan, Jian Ping,&Peng, Qiu He.(2016).Modified Fermi energy of electrons in a superhigh magnetic field.MODERN PHYSICS LETTERS A,31(11).
MLA Zhu, Cui,et al."Modified Fermi energy of electrons in a superhigh magnetic field".MODERN PHYSICS LETTERS A 31.11(2016).
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