论文标题

用离子晶体晶格紧凑对象的状态方程

Equation of state to compact objects with ion crystal lattice

论文作者

Ramalho, S. V. C., Duarte, S. B., Vicente, G. S.

论文摘要

晶体晶格结构存在于恒星紧凑的物体中,例如白矮星和中子恒星的外壳。这些结构可以通过以身体为中心的立方晶体来描述,该结构是由离子形成的,这是由于在存在恒星电子等离子体的情况下由库仑相互作用而形成的。当前通过量子同质等离子体在电动力学环境中描述了电子电子相互作用。特别是,我们研究了状态方程(EOS)的变化,从而改善了文献中提出的结果。这项工作的主要目的是分析恒星培养基中电子在晶体晶格中与离子的相互作用的分布。在有限温度场理论的背景下,使用线性响应理论获得了由晶格的存在产生的电场。电子的筛选和分布通过任意数量的邻居离子纠正,这是文献中的新颖性,并显着影响EOS。对于完全退化的电子等离子体和构成晶格的不同种类的离子,给出了数值结果。这些EOS可以应用于确定上述紧凑型物体的结构。

Crystal lattice structure is present in stellar compact objects, such as white dwarf stars and in the crust of neutron stars. These structures can be described by a body-centered cubic crystal, which is formed by ions due to Coulombian interactions in presence of stellar electron plasma. The electron-electron interaction is currently described in the electrodynamics context by a quantum homogeneous plasma. Particularly, we investigate the changes in the medium Equations of State (EoS), improving results presented in the literature. The main purpose of this work is to analyse the distribution of electrons in the stellar medium considering their interaction with ions in the crystal lattice. The electric field produced by the presence of crystal lattice is obtained using linear response theory in the context of finite temperature field theory. The screening and distribution of electrons are corrected by an arbitrary number of neighbor ions, which is a novelty in the literature and significantly impact the EoS. Numerical results are presented for a completely degenerate electron plasma and for different species of ions that make up the lattice. These EoS can be applied to determine the structure of the aforementioned compact stellar objects.

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