Random-walk shielding-potential viscosity model for warm dense metals

Yuqing Cheng, Haifeng Liu, Yong Hou, Xujun Meng, Qiong Li, Yu Liu, Xingyu Gao, Jianmin Yuan, Haifeng Song, and Jianguo Wang
Phys. Rev. E 106, 014142 – Published 28 July 2022
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Abstract

We develop a model, called the “random-walk shielding-potential viscosity model” (RWSP-VM) that introduces the statistics of random-walk ions and the Debye shielding effect to describe the viscosities of warm dense metals. The viscosities of several metals with low to high atomic numbers (Be, Al, Fe, and U) are calculated using the analytical expression of RWSP-VM. Additionally, we simulate the viscosities of Fe and Be by employing the Langevin molecular dynamics (MD) and classical MD, while the MD data for Al and U are obtained from a previous work. The results of the RWSP-VM are in good agreement with the MD results, which validates the proposed model. Furthermore, we compare the RWSP-VM with the one-component plasma model and Yukawa viscosity model and show that the three models yield results in excellent agreement with each other in the regime where the RWSP-VM is applicable. These results indicate that the RWSP-VM is a universal, accurate, and highly efficient model for calculating the viscosity of metals in the warm dense state. The code of the proposed RWSP-VM is provided, and it is envisaged that it will have broad application prospects in numerous fields.

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  • Received 31 August 2021
  • Revised 7 May 2022
  • Accepted 30 June 2022

DOI:https://doi.org/10.1103/PhysRevE.106.014142

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsGeneral PhysicsStatistical Physics & ThermodynamicsPlasma Physics

Authors & Affiliations

Yuqing Cheng1,2, Haifeng Liu2,*, Yong Hou3, Xujun Meng2, Qiong Li2, Yu Liu2, Xingyu Gao2, Jianmin Yuan4, Haifeng Song2, and Jianguo Wang2

  • 1School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
  • 2Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • 3Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
  • 4Graduate School, China Academy of Engineering Physics, Beijing 100193, China

  • *Corresponding author: liu_haifeng@iapcm.ac.cn

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Issue

Vol. 106, Iss. 1 — July 2022

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