Theoretical foundations of quantum hydrodynamics for plasmas

Abstract

Beginning from the semiclassical Hamiltonian, the Fermi pressure and Bohm potential for the quantum hydrodynamics application (QHD) at finite temperature are consistently derived in the framework of the local density approximation with the first order density gradient correction. Previously known results are revised and improved with a clear description of the underlying approximations. A fully non-local Bohm potential, which goes beyond of all previous results and is linked to the electron polarization function in the random phase approximation, for the QHD model is presented. The dynamic QHD exchange correlation potential is introduced in the framework of local field corrections, and considered for the case of the relaxation time approximation. Finally, the range of applicability of the QHD is discussed.

References in corpus (34)

• Theory of surface plasmons and surface-plasmon polaritons
• Self-consistent fluid model for a quantum electron gas
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Real-time Kadanoff-Baym approach to plasma oscillations in a correlated electron gas
• Quantum Hydrodynamic Theory for Plasmonics: Impact of the Electron Density Tail
• Nanogap-Enhanced Infrared Spectroscopy with Template-Stripped Wafer-Scale Arrays of Buried Plasmonic Cavities
• New Quantum Limits in Plasmonic Devices
• Ab initio thermodynamic results for the degenerate electron gas at finite temperature
• Analytical expressions for the local-field factor G(q) and the exchange-correlation kernel K_{xc}(r) of the homogeneous electron gas
• Statically screened ion potential and Bohm potential in a quantum plasma
• Quantum hydrodynamics for plasmas -- a Thomas-Fermi theory perspective
• Linear and nonlinear ion-acoustic waves in non-relativistic quantum plasmas with arbitrary degeneracy
• Uniform electron gas at finite temperatures
• Fast and accurate quantum molecular dynamics of dense plasmas across temperature regimes
• On "Novel attractive forces" between ions in quantum plasmas -- failure of linearized quantum hydrodynamics
• Gradient corrections to the exchange-correlation free energy
• Quantum Kinetic Theory for Laser Plasmas. Dynamical Screening in Strong Fields
• Configuration Path Integral Monte Carlo Approach to the Static Density Response of the Warm Dense Electron Gas
• Permutation Blocking Path Integral Monte Carlo approach to the Static Density Response of the Warm Dense Electron Gas
• Time-dependent deformation functional theory
• \textit{Ab Initio} results for the Static Structure Factor of the Warm Dense Electron Gas
• Stopping dynamics of ions passing through correlated honeycomb clusters
• The ion potential in warm dense matter: wake effects due to streaming degenerate electrons
• Comment on "Discussion on `Novel attractive force between ions in quantum plasmas -- failure of simulations based on a density functional approach"
• Continuum Mechanics for Quantum Many-Body Systems: The Linear Response Regime
• Improved Equation of State for Finite-Temperature Spin-Polarized Electron Liquids on the Basis of Singwi-Tosi-Land-Sjolander Approximation
• Nonlinear instability of density-independent orbital-free kinetic energy functionals
• Nonlinear response theories and effective pair potentials
• A critique of recent semi-classical spin-half quantum plasma theories
• Drift wave turbulence in a dense semiclassical magnetoplasma
• Pressure formulas for liquid metals and plasmas based on the density-functional theory

Cited by in corpus (59)

• Ab initio simulation of warm dense matter
• \textit{Ab Initio} Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter
• The Static Local Field Correction of the Warm Dense Electron Gas: An ab Initio Path Integral Monte Carlo Study and Machine Learning Representation
• Electronic Density Response of Warm Dense Matter
• Effective Static Approximation: A Fast and Reliable Tool for Warm Dense Matter Theory
• Ab Initio Path Integral Monte Carlo Approach to the Static and Dynamic Density Response of the Uniform Electron Gas
• First principles simulations of dense hydrogen
• Influence of finite temperature Exchange-Correlation effects in Hydrogen
• The G1--G2 Scheme: Dramatic Acceleration of Nonequilibrium Green Functions Simulations Within the Hartree--Fock-GKBA
• Analytical representation of the Local Field Correction of the Uniform Electron Gas within the Effective Static Approximation
• Dynamic properties of the warm dense electron gas: an ab initio path integral Monte Carlo approach
• Structural characteristics of strongly coupled ions in a dense quantum plasma
• Ab initio results for the plasmon dispersion and damping of the warm dense electron gas
• Finite-size effects in the reconstruction of dynamic properties from ab initio path integral Monte-Carlo simulations
• Restricted configuration path integral Monte Carlo
• Laplacian-Level Quantum Hydrodynamic Theory for Plasmonics
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Ab initio Static Exchange-Correlation Kernel across Jacob's Ladder without functional derivatives
• The Relevance of Electronic Perturbations in the Warm Dense Electron Gas
• Time-dependent Orbital-free Density Functional Theory: Background and Pauli kernel approximations
• Benchmarking Exchange-Correlation Functionals in the Spin-Polarized Inhomogeneous Electron Gas under Warm Dense Conditions
• Screening of a test charge in a free-electron gas at warm dense matter and dense non-ideal plasma conditions
• Ab initio path integral Monte Carlo simulation of the Uniform Electron Gas in the High Energy Density Regime
• Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
• Non-empirical mixing coefficient for hybrid XC functionals from analysis of the XC kernel
• Shock Physics in Warm Dense Matter--a quantum hydrodynamics perspective
• Prediction of a roton-type feature in warm dense hydrogen
• Accelerating Equilibration in First-Principles Molecular Dynamics with Orbital-Free Density Functional Theory
• Quantized Plasmon Excitations of Electron Gas in Potential Well
• Assessing the accuracy of hybrid exchange-correlation functionals for the density response of warm dense electrons
• From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
• Nonlocal and nonadiabatic Pauli potential for time-dependent orbital-free density functional theory
• Generalized hydrodynamics revisited
• Averaging over atom snapshots in linear-response TDDFT of disordered systems: A case study of warm dense hydrogen
• Halevi's extension of the Euler-Drude model for plasmonic systems
• Imposing Correct Jellium Response Is Key to Predict the Density Response by Orbital-Free DFT
• The bohmion method in nonadiabatic quantum hydrodynamics
• Ground State Energy of Hydrogen-Like Ions in Quantum Plasmas
• Revisiting the Vashishta-Singwi dielectric scheme for the warm dense uniform electron fluid
• Extending \textit{ab initio} plasma-surface simulations to experimentally relevant scales
• Development of a new quantum trajectory molecular dynamics framework
• Nonlocal Orbital-Free kinetic pressure tensors for the Fermi gas
• Applying the Liouville-Lanczos Method of Time-Dependent Density-Functional Theory to Warm Dense Matter
• Energy response and spatial alignment of the perturbed electron gas
• Quantum hydrodynamics for nanoplasmonics
• Ion core effect on transport characteristics in warm dense matter
• Density functional theory for collisionless plasmas -- equivalence of fluid and kinetic approaches
• Modified Friedmann equations via conformal Bohm -- De Broglie gravity
• Application of Madelung Hydrodynamics to Plasmonics and Nonlinear Optics in Two-Dimensional Materials
• Effect of Dynamic Ions on Band Structure of Plasmon Excitations
• Resonant Electron-Plasmon Interactions in Drifting Electron Gas
• Plasmonic breathing modes in ${\mathrm{C}}_{60}$ molecules -- A quantum hydrodynamic approach
• Hydrodynamics of quantum corrections to the Coulomb interaction via the third rank tensor evolution equation: Application to the Langmuir waves and the spin-electron-acoustic waves
• Generalized density functional theory framework for the non-linear density response of quantum many-body systems
• Investigation of the influence of single particle oscillations on the transport properties of dense plasma
• Self-gravitating quantum stars with a globally relevant Bohm potential
• Density-Functional-Theory Perspective on the Non-Linear Response of Correlated Electrons Across Temperature Regimes
• General-relativistic structure of two-component quantum dark fermion stars
• Time in quantum mechanics: A fresh look on quantum hydrodynamics and quantum trajectories