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.

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Cited by in corpus (12)

• 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