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Quantum Monte Carlo determination of the principal Hugoniot of deuterium

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4]
  1. Univ. Paris-Saclay, Gif-sur-Yvette (France); OSTI
  2. Univ. of Grenoble (France); Inst. Laue Langevin, Grenoble (France)
  3. Univ. of Illinois at Urbana-Champaign, IL (United States)
  4. Univ. Paris-Saclay, Gif-sur-Yvette (France)
Here, we present coupled electron-ion Monte Carlo results for the principal Hugoniot of deuterium together with an accurate study of the initial reference state of shock-wave experiments. We discuss the influence of nuclear quantum effects, thermal electronic excitations, and the convergence of the potential energy surface by wave-function optimization within variational Monte Carlo and projection quantum Monte Carlo methods. Compared to a previous study, our calculations also include low pressure-temperature (P,T) conditions resulting in close agreement with experimental data, while our revised results at higher (P,T) conditions still predict a more compressible Hugoniot than experimentally observed.
Research Organization:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
Agence Nationale de la Recherche (ANR); CIMENT; European Union’s Horizon 2020; Foundation NanoSciences Grenoble; National Science Foundation (NSF); State of Illinois; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0001789
OSTI ID:
1850287
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 14 Vol. 102; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (33)

Local structure in dense hydrogen at the liquid-liquid phase transition by coupled electron-ion Monte Carlo journal December 2017
Benchmarking vdW-DF first-principles predictions against Coupled Electron-Ion Monte Carlo for high-pressure liquid hydrogen journal February 2019
Trial wave functions for high-pressure metallic hydrogen journal July 2008
Self-consistent measurement of the equation of state of liquid deuterium journal March 2012
Accurate Computation of Vibronic Energies and of Some Expectation Values for H 2 , D 2 , and T 2 journal December 1964
The isotropic intermolecular potential for H 2 and D 2 in the solid and gas phases journal November 1978
Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations journal April 2016
Free energy methods in coupled electron ion Monte Carlo journal December 2011
Dynamic compression of materials: metallization of fluid hydrogen at high pressures journal April 2006
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Advanced capabilities for materials modelling with Quantum ESPRESSO journal October 2017
XV. On the thermodynamic theory of waves of finite longitudinal disturbance journal January 1870
Energy Spectrum of the Excitations in Liquid Helium journal June 1956
Deuterium Hugoniot: Pitfalls of thermodynamic sampling beyond density functional theory journal August 2019
Ground state of solid hydrogen at high pressures journal August 1987
Temperature measurements and dissociation of shock-compressed liquid deuterium and hydrogen journal December 1995
Principal Hugoniot, reverberating wave, and mechanical reshock measurements of liquid deuterium to 400 GPa using plate impact techniques journal April 2004
Shock compression of liquid deuterium up to 109 GPa journal March 2005
Thermophysical properties of warm dense hydrogen using quantum molecular dynamics simulations journal May 2008
Laser-driven single shock compression of fluid deuterium from 45 to 220 GPa journal January 2009
Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids journal July 2016
Backflow correlations for the electron gas and metallic hydrogen journal October 2003
Comparison between x-ray scattering and velocity-interferometry measurements from shocked liquid deuterium journal April 2013
Molecular-Atomic Transition along the Deuterium Hugoniot Curve with Coupled Electron-Ion Monte Carlo Simulations journal July 2015
High-Precision Shock Wave Measurements of Deuterium: Evaluation of Exchange-Correlation Functionals at the Molecular-to-Atomic Transition journal January 2017
Generalized Gradient Approximation Made Simple journal October 1996
Reptation Quantum Monte Carlo: A Method for Unbiased Ground-State Averages and Imaginary-Time Correlations journal June 1999
Equation of State Measurements in Liquid Deuterium to 70 GPa journal November 2001
The solid molecular hydrogens in the condensed phase: Fundamentals and static properties journal April 1980
Path integrals in the theory of condensed helium journal April 1995
The properties of hydrogen and helium under extreme conditions journal November 2012
Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium journal June 2015
Hydrogen Properties for Fusion Energy book December 1986

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