Quantum hydrodynamic model of density functional theory

DOI10.1007/s10910-013-0176-1zbMath1312.82016OpenAlexW1978186285MaRDI QIDQ364647

Zhenning Cai, Wenqi Yao, Tiao Lu, Ruo Li, Yu-Wei Fan

Publication date: 9 September 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-013-0176-1

zbMATH Keywords

moment closureWigner equationdensity functional theoryquantum hydrodynamics

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

The Wigner function of ground state and one-dimensional numerics ⋮ Hyperbolic Model Reduction for Kinetic Equations ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry

Uses Software

• HE-E1GODF

Cites Work

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• Phase space representation of quantum dynamics
• Quantum energy-transport and drift-diffusion models
• Quantum hydrodynamic model by moment closure of Wigner equation
• Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Waves and Compressible Flow
• Numerical Regularized Moment Method For High Mach Number Flow
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Globally Hyperbolic Regularization of Grad's Moment System
• On the kinetic theory of rarefied gases
• Correlation Energy of an Electron Gas at High Density

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