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Title: Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities

Abstract

New facilities explore warm dense matter (WDM) at conditions with extreme densities (exceeding ten times condensed matter densities) so that electrons are degenerate even at temperatures of 10 - 100 eV. Whereas in the non-degenerate region correlation effects such as Debye screening are relevant for the ionization potential depression (IPD), new effects have to be considered in degenerate plasmas. In addition to the Fock shift of the self-energies, the bound-state Pauli blocking becomes important with increasing density. Standard approaches to IPD such as Stewart-Pyatt and widely used opacity tables (e.g., OPAL) do not contain Pauli blocking effects for bound states. The consideration of degeneracy effects leads to a reduction of the ionization potential and to a higher degree of ionization. As an example, we present calculations for the ionization degree of carbon plasmas at T = 100 eV and extreme densities up to 40 g/cm3, which are relevant to experiments that are currently scheduled at the National Ignition Facility.

Authors:
 [1];  [2];  [3];  [4];  [4];  [4];  [5]
  1. Univ. Rostock (Germany); National Research Nuclear Univ., Moscow (Russian Federation)
  2. National Research Nuclear Univ., Moscow (Russian Federation); Univ. of Wroclaw (Poland); Joint Inst. for Nuclear Research (JINR), Dubna (Russian Federation)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. Univ. Rostock (Germany)
  5. Univ. Rostock (Germany); Univ. of Western Australia, Crawley, WA (Australia)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1526162
Alternate Identifier(s):
OSTI ID: 1546335
Report Number(s):
LLNL-JRNL-763468
Journal ID: ISSN 2470-0045; PLEEE8; 952264
Grant/Contract Number:  
AC52-07NA27344; 18-ERD-033
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Röpke, Gerd, Blaschke, David, Döppner, Tilo, Lin, Chengliang, Kraeft, Wolf-Dietrich, Redmer, Ronald, and Reinholz, Heidi. Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities. United States: N. p., 2019. Web. doi:10.1103/PhysRevE.99.033201.
Röpke, Gerd, Blaschke, David, Döppner, Tilo, Lin, Chengliang, Kraeft, Wolf-Dietrich, Redmer, Ronald, & Reinholz, Heidi. Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities. United States. doi:10.1103/PhysRevE.99.033201.
Röpke, Gerd, Blaschke, David, Döppner, Tilo, Lin, Chengliang, Kraeft, Wolf-Dietrich, Redmer, Ronald, and Reinholz, Heidi. Mon . "Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities". United States. doi:10.1103/PhysRevE.99.033201. https://www.osti.gov/servlets/purl/1526162.
@article{osti_1526162,
title = {Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities},
author = {Röpke, Gerd and Blaschke, David and Döppner, Tilo and Lin, Chengliang and Kraeft, Wolf-Dietrich and Redmer, Ronald and Reinholz, Heidi},
abstractNote = {New facilities explore warm dense matter (WDM) at conditions with extreme densities (exceeding ten times condensed matter densities) so that electrons are degenerate even at temperatures of 10 - 100 eV. Whereas in the non-degenerate region correlation effects such as Debye screening are relevant for the ionization potential depression (IPD), new effects have to be considered in degenerate plasmas. In addition to the Fock shift of the self-energies, the bound-state Pauli blocking becomes important with increasing density. Standard approaches to IPD such as Stewart-Pyatt and widely used opacity tables (e.g., OPAL) do not contain Pauli blocking effects for bound states. The consideration of degeneracy effects leads to a reduction of the ionization potential and to a higher degree of ionization. As an example, we present calculations for the ionization degree of carbon plasmas at T = 100 eV and extreme densities up to 40 g/cm3, which are relevant to experiments that are currently scheduled at the National Ignition Facility.},
doi = {10.1103/PhysRevE.99.033201},
journal = {Physical Review E},
number = 3,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

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Works referenced in this record:

Particle clustering and Mott transitions in nuclear matter at finite temperature
journal, May 1982


The Influence of Dynamical Effects on the Two-Particle States (Excitons) in the Electron-Hole Plasma
journal, July 1978


Particle clustering and Mott transition in nuclear matter at finite temperature (II)
journal, May 1983


X-Ray Scattering Measurements of Radiative Heating and Cooling Dynamics
journal, July 2008


The calculations of thermophysical properties of low-temperature carbon plasma
journal, July 2018


Ionization potential depression and optical spectra in a Debye plasma model
journal, November 2017

  • Lin, Chengliang; Röpke, Gerd; Reinholz, Heidi
  • Contributions to Plasma Physics, Vol. 57, Issue 10
  • DOI: 10.1002/ctpp.201700114

Generalized Brückner-Hartree-Fock theory and self-consistent RPA
journal, January 1998


Observations of the Effect of Ionization-Potential Depression in Hot Dense Plasma
journal, June 2013


Generalized beth-uhlenbeck approach for hot nuclear matter
journal, August 1990


Influence of Exciton Gas and Electron—Hole Plasma on Exciton Energy Levels
journal, July 1980


Characterizing the ionization potential depression in dense carbon plasmas with high-precision spectrally resolved x-ray scattering
journal, November 2018

  • Kraus, D.; Bachmann, B.; Barbrel, B.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 1
  • DOI: 10.1088/1361-6587/aadd6c

Derivation of the static structure factor in strongly coupled non-equilibrium plasmas for X-ray scattering studies
journal, May 2007


Light nuclei quasiparticle energy shifts in hot and dense nuclear matter
journal, January 2009


Ionization-potential depression and dynamical structure factor in dense plasmas
journal, July 2017


Investigation of femtosecond collisional ionization rates in a solid-density aluminium plasma
journal, March 2015

  • Vinko, S. M.; Ciricosta, O.; Preston, T. R.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7397

First-principles equation of state and shock compression predictions of warm dense hydrocarbons
journal, July 2017


Equation of state for partially ionized carbon at high temperatures
journal, October 2005

  • Potekhin, Alexander Y.; Massacrier, Gérard; Chabrier, Gilles
  • Physical Review E, Vol. 72, Issue 4
  • DOI: 10.1103/PhysRevE.72.046402

Platform for spectrally resolved x-ray scattering from imploding capsules at the National Ignition Facility
journal, May 2016


The quantum theory of the non-ideal gas. II. Behaviour at low temperatures
journal, October 1937


Clustering in nuclear environment
journal, December 2014


Creation and diagnosis of a solid-density plasma with an X-ray free-electron laser
journal, January 2012

  • Vinko, S. M.; Ciricosta, O.; Cho, B. I.
  • Nature, Vol. 482, Issue 7383
  • DOI: 10.1038/nature10746

Nuclear matter equation of state including two-, three-, and four-nucleon correlations
journal, November 2015


Warm Dense Matter Demonstrating Non-Drude Conductivity from Observations of Nonlinear Plasmon Damping
journal, May 2017


Lowering of the Ionization Energy for a Plasma in Thermodynamic Equilibrium
journal, January 1963


Ionization potential depression in an atomic-solid-plasma picture
journal, April 2018

  • Rosmej, F. B.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 9
  • DOI: 10.1088/1361-6455/aab80f

The Mass Action Law in Two-Component Fermi Systems Revisited Excitons and Electron-Hole Pairs
journal, September 1985


Ionization equilibrium and equation of state in strongly coupled plasmas
journal, January 2000


Direct Measurements of the Ionization Potential Depression in a Dense Plasma
journal, August 2012


Energy spectrum of hydrogen atoms in dense plasmas
journal, November 1995


Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
journal, September 2014


Pressure ionization in laser-fusion target simulation
journal, May 1980

  • Zimmerman, G. B.; More, R. M.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 23, Issue 5
  • DOI: 10.1016/0022-4073(80)90055-2

All-Electron Path Integral Monte Carlo Simulations of Warm Dense Matter: Application to Water and Carbon Plasmas
journal, March 2012


The effects of ionization potential depression on the spectra emitted by hot dense aluminium plasmas
journal, June 2013

  • Preston, Thomas R.; Vinko, Sam M.; Ciricosta, Orlando
  • High Energy Density Physics, Vol. 9, Issue 2
  • DOI: 10.1016/j.hedp.2012.12.014

Ionization potential depression for non equilibrated aluminum plasmas
journal, September 2015

  • Calisti, A.; Ferri, S.; Talin, B.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue 22
  • DOI: 10.1088/0953-4075/48/22/224003

Equation of state of carbon in the warm dense matter regime from density-functional theory molecular dynamics
journal, October 2018


Path integral Monte Carlo simulations of warm dense aluminum
journal, June 2018


Lowering of Ionization Potentials in Plasmas
journal, April 1966

  • Stewart, John C.; Pyatt, Kedar D. , Jr.
  • The Astrophysical Journal, Vol. 144
  • DOI: 10.1086/148714

Validating Continuum Lowering Models via Multi-Wavelength Measurements of Integrated X-ray Emission
journal, April 2018


Comment on “Continuum Lowering and Fermi-Surface Rising in Strongly Coupled and Degenerate Plasmas”
journal, March 2018


Hu Replies:
journal, March 2018


Ionic Depression of Series Limits in Cne-Electron Spectra.
journal, September 1939

  • Inglis, D. R.; Teller, E.
  • The Astrophysical Journal, Vol. 90
  • DOI: 10.1086/144118

Ab Initio Calculation of the Miscibility Diagram for Hydrogen-Helium Mixtures
journal, March 2018


X-ray scattering measurements on imploding CH spheres at the National Ignition Facility
journal, July 2016


The uniform electron gas at warm dense matter conditions
journal, May 2018


Invariant criteria for bound states, degree of ionization, and plasma phase transition
journal, June 1990


Cluster-virial expansion for nuclear matter within a quasiparticle statistical approach
journal, January 2013


Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave
journal, July 2018


The influence of Pauli blocking effects on the properties of dense hydrogen
journal, May 2009


Metal-Insulator Transition
journal, October 1968


Pauli quenching effects in a simple string model of quark/nuclear matter
journal, December 1986


Continuum Lowering and Fermi-Surface Rising in Strongly Coupled and Degenerate Plasmas
journal, August 2017


Measurements of continuum lowering in solid-density plasmas created from elements and compounds
journal, May 2016

  • Ciricosta, O.; Vinko, S. M.; Barbrel, B.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11713

Interaction of photons with plasmas and liquid metals - photoabsorption and scattering
journal, December 1999


Continuum lowering – A new perspective
journal, December 2014


OPAL Equation-of-State Tables for Astrophysical Applications
journal, January 1996

  • Rogers, Forrest J.; Swenson, Fritz J.; Iglesias, Carlos A.
  • The Astrophysical Journal, Vol. 456
  • DOI: 10.1086/176705

Density functional theory calculations of continuum lowering in strongly coupled plasmas
journal, March 2014

  • Vinko, S. M.; Ciricosta, O.; Wark, J. S.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4533

Observations of Continuum Depression in Warm Dense Matter with X-Ray Thomson Scattering
journal, April 2014


Dynamical screening and self-energy of excitons in the electron–hole plasma
journal, November 1978

  • Zimmermann, R.; Kilimann, K.; Kraeft, W. D.
  • Physica Status Solidi (b), Vol. 90, Issue 1
  • DOI: 10.1002/pssb.2220900119

Monte Carlo simulations of ionization potential depression in dense plasmas
journal, January 2016


Higher-order Levinson's theorems and the high-temperature expansion of the partition function
journal, September 1979