The ion potential in warm dense matter: wake effects due to streaming degenerate electrons

Abstract

The effective dynamically screened potential of a classical ion in a stationary flowing quantum plasma at finite temperature is investigated. This is a key quantity for thermodynamics and transport of dense plasmas in the warm dense matter regime. This potential has been studied before within hydrodynamic approaches or based on the zero temperature Lindhard dielectric function. Here we extend the kinetic analysis by including the effects of finite temperature and of collisions based on the Mermin dielectric function. The resulting ion potential exhibits an oscillatory structure with attractive minima (wakes) and, thus, strongly deviates from the static Yukawa potential of equilibrium plasmas. This potential is analyzed in detail for high-density plasmas with values of the Brueckner parameter in the range $0.1\le r_s\le 1$, for a broad range of plasma temperature and electron streaming velocity. It is shown that wake effects become weaker with increasing temperature of the electrons. Finally, we obtain the minimal electron streaming velocity for which attraction between ions occurs. This velocity turns out to be less than the electron Fermi velocity. Our results allow, for the first time, for reliable predictions of the strength of wake effects in nonequilibrium quantum plasmas with fast streaming electrons showing that these effects are crucial for transport under warm dense matter conditions, in particular for laser-matter interaction, electron-ion temperature equilibration and for stopping power.

arXiv commentSubstantially extended version. New figures added

References in corpus (26)

• Neutrino Energy Loss from the Plasma Process at all Temperatures and Densities
• Novel Attractive Force Between Ions in Quantum Plasmas
• Real-time Kadanoff-Baym approach to plasma oscillations in a correlated electron gas
• Temperature-dependent quantum pair potentials and their application to dense partially ionized hydrogen plasmas
• On the Wake Structure in Streaming Complex Plasmas
• Crystallization in two-component Coulomb systems
• Classical and quantum Coulomb crystals
• Hexatic and mesoscopic phases in the 2D quantum Coulomb system
• Hubbard nanoclusters far from equilibrium
• On "Novel attractive forces" between ions in quantum plasmas -- failure of linearized quantum hydrodynamics
• Transport properties of degenerate electrons in neutron star envelopes and white dwarf cores
• Field Theoretic Description of Ultrarelativistic Electron-Positron Plasmas
• Scanning tunneling microscopy and kinetic Monte Carlo investigation of Cesium superlattices on Ag(111)
• Wakes in the quark-gluon plasma
• Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions
• Screened Coulomb potential in a flowing magnetized plasma
• Comment on "Discussion on `Novel attractive force between ions in quantum plasmas -- failure of simulations based on a density functional approach"
• Ion-Streaming Induced Order Transition in 3D Dust Clusters
• Using XFELs for Probing of Complex Interaction Dynamics of Ultra-Intense Lasers with Solid Matter
• Wakes in a Collisional Quark-Gluon Plasma
• Dynamics of Hubbard nano-clusters following strong excitation
• A critique of recent semi-classical spin-half quantum plasma theories
• Thermodynamics of the quark-gluon plasma at finite chemical potential: color path integral Monte Carlo results
• Shielding of a moving test charge in a quantum plasma
• Bound states near a moving charge in a quantum plasma
• Toward a Nonequilibrium Green functions approach to diffusion in strongly coupled finite quantum systems

Cited by in corpus (13)

• Ab initio simulation of warm dense matter
• Theoretical foundations of quantum hydrodynamics for plasmas
• Statically screened ion potential and Bohm potential in a quantum plasma
• Quantum hydrodynamics for plasmas -- a Thomas-Fermi theory perspective
• Ab Initio Quantum Monte Carlo Simulations of the Uniform Electron Gas without Fixed Nodes
• Analytical representation of the Local Field Correction of the Uniform Electron Gas within the Effective Static Approximation
• Energy loss and friction characteristics of electrons at warm dense matter and non-ideal dense plasma conditions
• Screening of a test charge in a free-electron gas at warm dense matter and dense non-ideal plasma conditions
• Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
• Ion Potential in Non-ideal Dense Quantum Plasmas
• Quantum computation of stopping power for inertial fusion target design
• Ground State Energy of Hydrogen-Like Ions in Quantum Plasmas
• Investigation of the influence of single particle oscillations on the transport properties of dense plasma