skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dynamic conductivity and partial ionization in dense fluid hydrogen

Abstract

A theoretical description for the optical conduction experiments in dense fluid hydrogen is presented. Different quantum statistical approaches are used to describe the mechanism of electronic transport in hydrogen’s high-temperature dense phase. In this work, we show that at the onset of the metallic transition, optical conduction could be described by a strong rise in the atomic polarizability because of increased ionizations, whereas in the highly degenerate limit, the Ziman weak-scattering model better accounts for the observed saturation of reflectance. The inclusion of the effects of partial ionization in the highly degenerate region provides excellent agreement with experimental results. Hydrogen’s fluid metallic state is revealed to be a partially ionized free-electron plasma. Our results provide some of the first theoretical models that are experimentally benchmarked, as well as an important guide for future studies.

Authors:
 [1]
  1. Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Harvard Univ., Cambridge, MA (United States). Lyman Lab. of Physics
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Aeronautic and Space Administration (NASA); New York State Energy Research and Development Authority (NYSERDA)
OSTI Identifier:
1460106
Alternate Identifier(s):
OSTI ID: 1433462
Report Number(s):
2017-238, 2376
Journal ID: ISSN 2470-0045; PLEEE8; 2017-238, 2376, 1418
Grant/Contract Number:  
NA0001944; NNX14AP17H
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; high-energy-density plasmas; plasma transport; hot dense plasma; strongly-coupled plasmas; warm-dense matter

Citation Formats

Zaghoo, Mohamed. Dynamic conductivity and partial ionization in dense fluid hydrogen. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.97.043205.
Zaghoo, Mohamed. Dynamic conductivity and partial ionization in dense fluid hydrogen. United States. doi:10.1103/PhysRevE.97.043205.
Zaghoo, Mohamed. Tue . "Dynamic conductivity and partial ionization in dense fluid hydrogen". United States. doi:10.1103/PhysRevE.97.043205. https://www.osti.gov/servlets/purl/1460106.
@article{osti_1460106,
title = {Dynamic conductivity and partial ionization in dense fluid hydrogen},
author = {Zaghoo, Mohamed},
abstractNote = {A theoretical description for the optical conduction experiments in dense fluid hydrogen is presented. Different quantum statistical approaches are used to describe the mechanism of electronic transport in hydrogen’s high-temperature dense phase. In this work, we show that at the onset of the metallic transition, optical conduction could be described by a strong rise in the atomic polarizability because of increased ionizations, whereas in the highly degenerate limit, the Ziman weak-scattering model better accounts for the observed saturation of reflectance. The inclusion of the effects of partial ionization in the highly degenerate region provides excellent agreement with experimental results. Hydrogen’s fluid metallic state is revealed to be a partially ionized free-electron plasma. Our results provide some of the first theoretical models that are experimentally benchmarked, as well as an important guide for future studies.},
doi = {10.1103/PhysRevE.97.043205},
journal = {Physical Review E},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Electrical conductivity of noble gases at high pressures
journal, September 2007


Metallization of fluid hydrogen
journal, January 1998

  • Nellis, W. J.; Louis, A. A.; Ashcroft, N. W.
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 356, Issue 1735
  • DOI: 10.1098/rsta.1998.0153

The Screening Function of an Interacting Electron gas
journal, September 1966

  • Geldart, D. J. W.; Vosko, S. H.
  • Canadian Journal of Physics, Vol. 44, Issue 9
  • DOI: 10.1139/p66-174

Dynamical and optical properties of warm dense hydrogen
journal, April 2001


Quantum Liquid Metals: The Physics of Dense Hydrogen*
journal, January 1988


High temperature equation of state of metallic hydrogen
journal, April 2007


Structure and Resistivity of Liquid Metals
journal, May 1966


Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations
journal, April 2016

  • Pierleoni, Carlo; Morales, Miguel A.; Rillo, Giovanni
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 18
  • DOI: 10.1073/pnas.1603853113

Ionization of molecules at the fluid–fluid phase transition in warm dense hydrogen
journal, June 2017


Structure and Phase Boundaries of Compressed Liquid Hydrogen
journal, February 2010


Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres
journal, April 1963


Electrons in disordered structures
journal, January 1967


A quantum fluid of metallic hydrogen suggested by first-principles calculations
journal, October 2004

  • Bonev, Stanimir A.; Schwegler, Eric; Ogitsu, Tadashi
  • Nature, Vol. 431, Issue 7009
  • DOI: 10.1038/nature02968

Shock-Induced Transformation of Liquid Deuterium into a Metallic Fluid
journal, June 2000


Insulator to metal transition in fluid deuterium
journal, March 2004

  • Hood, Randolph Q.; Galli, Giulia
  • The Journal of Chemical Physics, Vol. 120, Issue 12
  • DOI: 10.1063/1.1649734

A theory of the electrical properties of liquid metals: III. the resistivity of binary alloys
journal, January 1965


On the Possibility of a Metallic Modification of Hydrogen
journal, December 1935

  • Wigner, E.; Huntington, H. B.
  • The Journal of Chemical Physics, Vol. 3, Issue 12
  • DOI: 10.1063/1.1749590

Thermophysical properties of warm dense hydrogen using quantum molecular dynamics simulations
journal, May 2008


Phase Transition in a Strongly Nonideal Deuterium Plasma Generated by Quasi-Isentropical Compression at Megabar Pressures
journal, October 2007


Pressure-produced ionization of nonideal plasma in a megabar range of dynamic pressures
journal, August 2003

  • Fortov, V. E.; Ternovoi, V. Ya.; Zhernokletov, M. V.
  • Journal of Experimental and Theoretical Physics, Vol. 97, Issue 2
  • DOI: 10.1134/1.1608993

Molecular-dynamics modeling of shock-compressed liquid hydrogen
journal, May 1997


Transport coefficients for dense metal plasmas
journal, November 2000


Effective polarization interaction potential “charge-atom” for partially ionized dense plasma
journal, September 2005

  • Ramazanov, T. S.; Dzhumagulova, K. N.; Omarbakiyeva, Y. A.
  • Physics of Plasmas, Vol. 12, Issue 9
  • DOI: 10.1063/1.2008213

Electric and thermal resistivities in dense high- Z plasmas
journal, June 1995


Optical Properties of Fluid Hydrogen at the Transition to a Conducting State
journal, June 2016


Remarks concerning the Clausius-Mossotti Law
journal, April 1932

  • Rysselberghe, Pierre Van
  • The Journal of Physical Chemistry, Vol. 36, Issue 4
  • DOI: 10.1021/j150334a007

Frequency-dependent reflectivity of shock-compressed xenon plasmas
journal, September 2003


Local structure in dense hydrogen at the liquid-liquid phase transition by coupled electron-ion Monte Carlo
journal, December 2017

  • Pierleoni, Carlo; Holzmann, Markus; Ceperley, David M.
  • Contributions to Plasma Physics, Vol. 58, Issue 2-3
  • DOI: 10.1002/ctpp.201700184

On Dense Matter
journal, December 1926

  • Fowler, R. H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 87, Issue 2
  • DOI: 10.1093/mnras/87.2.114

A theory of the electrical properties of liquid metals. I: The monovalent metals
journal, August 1961


Structure and electrical conductivity in fluid high-density hydrogen
journal, December 1997


Hopping conductivity in dense hydrogen fluid
journal, May 2001


THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions
journal, May 2005


Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium
journal, June 2015


Minimum metallic conductivity of fluid hydrogen at 140 GPa (1.4 Mbar)
journal, February 1999


Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquids
journal, October 1982


Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
journal, April 1958


Distinct Metallization and Atomization Transitions in Dense Liquid Hydrogen
journal, March 2015


Extended data set for the equation of state of warm dense hydrogen isotopes
journal, October 2012


Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen
journal, June 2011


Conductivity and dissociation in liquid metallic hydrogen and implications for planetary interiors
journal, October 2017

  • Zaghoo, Mohamed; Silvera, Isaac F.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 45
  • DOI: 10.1073/pnas.1707918114

Metallization of Fluid Molecular Hydrogen at 140 GPa (1.4 Mbar)
journal, March 1996


Linear-mixing model for shock-compressed liquid deuterium
journal, July 1998


Ionic interaction and conductivity of metallic hydrogen
journal, January 2006


Nuclear Quantum Effects and Nonlocal Exchange-Correlation Functionals Applied to Liquid Hydrogen at High Pressure
journal, February 2013


Density-functional theory of pair correlations in metallic hydrogen
journal, January 1998


Hydrogen at high density
journal, May 2003


Physical properties of dense, low-temperature plasmas
journal, April 1997


Evidence of a first-order phase transition to metallic hydrogen
journal, April 2016