Shock Physics in Warm Dense Matter--a quantum hydrodynamics perspective

Abstract

Warm dense matter (WDM)--an exotic, highly compressed state of matter between solid and plasma phases is of high current interest, in particular for astrophysics and inertial confinement fusion. For the latter, in particular the propagation of compression shocks is crucial. The main unknown in the shock propagation in WDM is the behavior of the electrons since they are governed by correlations, quantum and spin effects that need to be accounted for simultaneously. Here we describe the shock dynamics of the warm dense electron gas using a quantum hydrodynamic model. From the numerical hydrodynamic simulations we observe that the quantum Bohm pressure induces shear force which weakens the formation and strength of the shock. This is confirmed by the theoretical analysis of the early stage of the shock formation. Our theoretical and numerical analysis allows us to identify characteristic dimensionless shock propagation parameters at which the effect of the Bohm force is important.

References in corpus (35)

• Self-consistent fluid model for a quantum electron gas
• Dynamic Density Functional Theory of Fluids
• Path Integral Monte Carlo Calculation of the Deuterium Hugoniot
• The Uniform Electron Gas at Warm Dense Matter Conditions
• A Massive Core in Jupiter Predicted From First-Principles Simulations
• Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
• Hydrogen-Helium Mixtures in the Interiors of Giant Planets
• Ab initio simulation of warm dense matter
• DFT: A Theory Full of Holes?
• A multiphase equation of state for carbon addressing high pressures and temperatures
• Theoretical foundations of quantum hydrodynamics for plasmas
• \textit{Ab Initio} Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter
• Ab initio thermodynamic results for the degenerate electron gas at finite temperature
• Thermodynamics of hot dense H-plasmas: Path integral Monte Carlo simulations and analytical approximations
• First-Principles Equation of State Database for Warm Dense Matter Computation
• Cooling sequences and color-magnitude diagrams for cool white dwarfs with hydrogen-atmospheres
• Achieving the Ultimate Scaling Limit for Nonequilibrium Green Functions Simulations
• The Static Local Field Correction of the Warm Dense Electron Gas: An ab Initio Path Integral Monte Carlo Study and Machine Learning Representation
• Saturn layered structure and homogeneous evolution models with different EOSs
• Efficient grid-based method in nonequilibrium Green's function calculations. Application to model atoms and molecules
• Electron-ion scattering in dense multi-component plasmas: application to the outer crust of an accreting neutron star
• Time-dependent second Born calculations for model atoms and molecules in strong laser fields
• The G1--G2 Scheme: Dramatic Acceleration of Nonequilibrium Green Functions Simulations Within the Hartree--Fock-GKBA
• Fermionic path integral Monte Carlo results for the uniform electron gas at finite temperature
• Monte Carlo results for the hydrogen Hugoniot
• 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
• On "Novel attractive forces" between ions in quantum plasmas -- failure of linearized quantum hydrodynamics
• Structural characteristics of strongly coupled ions in a dense quantum plasma
• Density Functional Theory of Inhomogeneous Liquids: III. Liquid-Vapor Nucleation
• The Rayleigh-Taylor instability and internal waves in quantum plasmas
• Gradient correction and Bohm potential for 2D and 1D electron gases at a finite temperature
• Finite temperature density functional theory investigation to the nonequilibrium transient warm dense state created by laser excitation
• Benchmarking vdW-DF first principle predictions against Coupled Electron-Ion Monte Carlo for high pressure liquid hydrogen
• Spatial structure of shock formation

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• Electronic Density Response of Warm Dense Matter
• First principles simulations of dense hydrogen
• 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
• Towards a Quantum Fluid Theory of Correlated Many-Fermion Systems from First Principles
• Averaging over atom snapshots in linear-response TDDFT of disordered systems: A case study of warm dense hydrogen
• Imposing Correct Jellium Response Is Key to Predict the Density Response by Orbital-Free DFT
• Accelerating Nonequilibrium Green functions simulations with embedding selfenergies
• Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity
• Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity
• Exchange-correlation entropy from the generalized thermal adiabatic connection
• Density-Functional-Theory Perspective on the Non-Linear Response of Correlated Electrons Across Temperature Regimes