Matter and Radiation at Extremes, Volume. 6, Issue 2, 026901(2021)

Ionic self-diffusion coefficient and shear viscosity of high-Z materials in the hot dense regime

Yong Hou1,a)... Yang Jin1, Ping Zhang1, Dongdong Kang1, Cheng Gao1, Ronald Redmer2, and Jianmin Yuan13 |Show fewer author(s)
Author Affiliations
  • 1Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, People’s Republic of China
  • 2Institute of Physics, University of Rostock, A.-Einstein-Strasse 23–24, D-18059 Rostock, Germany
  • 3Graduate School, China Academy of Engineering Physics, Beijing 100193, People’s Republic of China
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    Figures & Tables(6)
    Pair distribution functions as calculated with the AAHNC (red dashed lines), AAHNC+B (black solid lines), and LMD (blue dot-dashed lines with circles) methods as functions of the ion–ion distance for U at a temperature of 100 eV and densities of 1.893 g/cm3, 9.465 g/cm3, 18.93 g/cm3, and 94.65 g/cm3.
    Average charge of U as a function of temperature at solid density ρ0 = 18.93 g/cm3 (circles), 0.1 × ρ0 = 1.893 g/cm3 (triangles up), 0.5 × ρ0 = 9.465 g/cm3 (triangles down), and 5 × ρ0 = 94.65 g/cm3 (squares). Solid lines with different symbols represent the results for the different densities calculated using the AAHNC+Bridge model. The blue dashed lines with circles (18.93 g/cm3) and squares (94.65 g/cm3) are calculated using the INFERNO model.16 The inset shows a log–log plot along with the kBT behavior (brown dot-dashed line).
    Ionic coupling parameter Γii for a hot dense U plasma as a function of temperature for densities in the range (0.1–5.0) × ρ0.
    Pair distribution functions as derived from the AAHNC+Bridge method are shown as functions of the ion–ion distance for U at densities 1.893 g/cm3 (left), 18.93 g/cm3 (middle), and 94.65 g/cm3 (right) for different temperatures.
    Self-diffusion coefficient D (a) and shear viscosity η (b) of U as functions of temperature at different densities: 1.893 g/cm3 (dashed lines), 18.93 g/cm3 (solid lines), and 94.65 g/cm3 (dot-dashed lines). The CMD (black circles) and LMD (red squares) simulations are based on the effective pair potential from the AAHNC+Bridge calculations. For comparison, the results of OFMD (blue triangles up) simulations and the R–OCP model (green stars)16 are also shown.
    Stokes–Einstein relation FSE as a function of temperature calculated from the diffusion coefficients and the shear viscosities at densities 1.896 g/cm3 (orange), 9.465 g/cm3 (black), 18.93 g/cm3 (red), and 94.65 g/cm3 (blue). The filled circles represent the results of LMD simulations and the open symbols those of CMD simulations. The gray dashed lines show the constant values of the Stokes–Einstein relation for stick (1/6π) and slip (1/4π) boundary conditions, respectively.
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    Yong Hou, Yang Jin, Ping Zhang, Dongdong Kang, Cheng Gao, Ronald Redmer, Jianmin Yuan. Ionic self-diffusion coefficient and shear viscosity of high-Z materials in the hot dense regime[J]. Matter and Radiation at Extremes, 2021, 6(2): 026901

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    Paper Information

    Category: Radiation and Hydrodynamics

    Received: Aug. 25, 2020

    Accepted: Dec. 30, 2020

    Published Online: Apr. 22, 2021

    The Author Email: Hou Yong (yonghou@nudt.edu.cn)

    DOI:10.1063/5.0024409

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