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Main Authors: Cheng, Yuqing, Gao, Xingyu, Li, Qiong, Liu, Yu, Song, Haifeng, Liu, Haifeng
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2305.16551
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author Cheng, Yuqing
Gao, Xingyu
Li, Qiong
Liu, Yu
Song, Haifeng
Liu, Haifeng
author_facet Cheng, Yuqing
Gao, Xingyu
Li, Qiong
Liu, Yu
Song, Haifeng
Liu, Haifeng
contents The transport properties of matter have been widely investigated. In particular, shear viscosity over a wide parameter space is crucial for various applications, such as designing inertial confinement fusion (ICF) targets and determining the Rayleigh-Taylor instability. In this work, an extended random-walk shielding-potential viscosity model (ext-RWSP-VM) based on the statistics of random-walk ions and the Debye shielding effect is proposed to elevate the temperature limit of RWSP-VM [Phys. Rev. E 106, 014142] in evaluating the shear viscosity of one component plasma. In the extended model, we reconsider the collision distance that is introduced by hard-sphere concept, hence, it is applicable in wide temperature regime rather than a narrower one in which RWSP-VM is applicable. The results of H, C, Al, Fe, Ge, W, and U show that the extended model provides a systematic way to calculate the shear viscosity of arbitrary one component plasma at the densities from about 0.1 to 10 times the normal density (the density at room temperature and 1 standard atmosphere). This work will help to develop viscosity model in wide regime when combined with our previous low temperature viscosity model [AIP Adv. 11, 015043].
format Preprint
id arxiv_https___arxiv_org_abs_2305_16551
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Extend the random-walk shielding-potential viscosity model to hot temperature regime
Cheng, Yuqing
Gao, Xingyu
Li, Qiong
Liu, Yu
Song, Haifeng
Liu, Haifeng
Statistical Mechanics
The transport properties of matter have been widely investigated. In particular, shear viscosity over a wide parameter space is crucial for various applications, such as designing inertial confinement fusion (ICF) targets and determining the Rayleigh-Taylor instability. In this work, an extended random-walk shielding-potential viscosity model (ext-RWSP-VM) based on the statistics of random-walk ions and the Debye shielding effect is proposed to elevate the temperature limit of RWSP-VM [Phys. Rev. E 106, 014142] in evaluating the shear viscosity of one component plasma. In the extended model, we reconsider the collision distance that is introduced by hard-sphere concept, hence, it is applicable in wide temperature regime rather than a narrower one in which RWSP-VM is applicable. The results of H, C, Al, Fe, Ge, W, and U show that the extended model provides a systematic way to calculate the shear viscosity of arbitrary one component plasma at the densities from about 0.1 to 10 times the normal density (the density at room temperature and 1 standard atmosphere). This work will help to develop viscosity model in wide regime when combined with our previous low temperature viscosity model [AIP Adv. 11, 015043].
title Extend the random-walk shielding-potential viscosity model to hot temperature regime
topic Statistical Mechanics
url https://arxiv.org/abs/2305.16551