中国物理B ›› 2019, Vol. 28 ›› Issue (1): 16401-016401.doi: 10.1088/1674-1056/28/1/016401

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Equation of state for aluminum in warm dense matter regime

Kun Wang(王坤), Dong Zhang(张董), Zong-Qian Shi(史宗谦), Yuan-Jie Shi(石元杰), Tian-Hao Wang(王天浩), Yue Zhang(张阅)   

  1. 1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China;
    2 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China;
    3 State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
    4 Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China
  • 收稿日期:2018-07-27 修回日期:2018-10-22 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: Zong-Qian Shi E-mail:zqshi@mail.xjtu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 51807050), the National Basic Research Program of China (Grant No. 2015CB251002) and the Program for the Top Young and Middle-aged Innovative Talents of Higher Learning Institutions of Hebei, China (Grant No. BJ2017038).

Equation of state for aluminum in warm dense matter regime

Kun Wang(王坤)1,2, Dong Zhang(张董)1, Zong-Qian Shi(史宗谦)3, Yuan-Jie Shi(石元杰)3,4, Tian-Hao Wang(王天浩)1, Yue Zhang(张阅)1   

  1. 1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China;
    2 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China;
    3 State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
    4 Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China
  • Received:2018-07-27 Revised:2018-10-22 Online:2019-01-05 Published:2019-01-05
  • Contact: Zong-Qian Shi E-mail:zqshi@mail.xjtu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 51807050), the National Basic Research Program of China (Grant No. 2015CB251002) and the Program for the Top Young and Middle-aged Innovative Talents of Higher Learning Institutions of Hebei, China (Grant No. BJ2017038).

摘要:

A semi-empirical equation of state model for aluminum in a warm dense matter regime is constructed. The equation of state, which is subdivided into a cold term, thermal contributions of ions and electrons, covers a broad range of phase diagram from solid state to plasma state. The cold term and thermal contribution of ions are from the Bushman-Lomonosov model, in which several undetermined parameters are fitted based on equation of state theories and specific experimental data. The Thomas-Fermi-Kirzhnits model is employed to estimate the thermal contribution of electrons. Some practical modifications are introduced to the Thomas-Fermi-Kirzhnits model to improve the prediction of the equation of state model. Theoretical calculation of thermodynamic parameters, including phase diagram, curves of isothermal compression at ambient temperature, melting, and Hugoniot, are analyzed and compared with relevant experimental data and other theoretical evaluations.

关键词: equation of state, phase diagram, warm dense matter

Abstract:

A semi-empirical equation of state model for aluminum in a warm dense matter regime is constructed. The equation of state, which is subdivided into a cold term, thermal contributions of ions and electrons, covers a broad range of phase diagram from solid state to plasma state. The cold term and thermal contribution of ions are from the Bushman-Lomonosov model, in which several undetermined parameters are fitted based on equation of state theories and specific experimental data. The Thomas-Fermi-Kirzhnits model is employed to estimate the thermal contribution of electrons. Some practical modifications are introduced to the Thomas-Fermi-Kirzhnits model to improve the prediction of the equation of state model. Theoretical calculation of thermodynamic parameters, including phase diagram, curves of isothermal compression at ambient temperature, melting, and Hugoniot, are analyzed and compared with relevant experimental data and other theoretical evaluations.

Key words: equation of state, phase diagram, warm dense matter

中图分类号:  (General theory of equations of state and phase equilibria)

  • 64.10.+h
31.15.bu (Semi-empirical and empirical calculations (differential overlap, Hückel, PPP methods, etc.))