A viscous quantum hydrodynamics model based on dynamic density functional theory

Dynamic density functional theory (DDFT) is emerging as a useful theoretical technique for modeling the dynamics of correlated systems. We extend DDFT to quantum systems for application to dense plasmas through a quantum hydrodynamics (QHD) approach. The DDFT-based QHD approach includes correlations...

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Bibliographic Details
Published in:Scientific reports 2017-11, Vol.7 (1), p.15352-9, Article 15352
Main Authors: Diaw, Abdourahmane, Murillo, Michael S.
Format: Article
Language:English
Subjects:
639/766/1960/1135
639/766/34/864
639/766/483/640
Fluid mechanics
Humanities and Social Sciences
Hydrodynamics
multidisciplinary
Science
Science (multidisciplinary)
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Summary:Dynamic density functional theory (DDFT) is emerging as a useful theoretical technique for modeling the dynamics of correlated systems. We extend DDFT to quantum systems for application to dense plasmas through a quantum hydrodynamics (QHD) approach. The DDFT-based QHD approach includes correlations in the the equation of state self-consistently, satisfies sum rules and includes irreversibility arising from collisions. While QHD can be used generally to model non-equilibrium, heterogeneous plasmas, we employ the DDFT-QHD framework to generate a model for the electronic dynamic structure factor, which offers an avenue for measuring hydrodynamic properties, such as transport coefficients via x-ray Thomson scattering.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-017-14414-9