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Molecular-Atomic Transition along the Deuterium Hugoniot Curve with Coupled Electron-Ion Monte Carlo Simulations

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [1]
  1. Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Physics
  2. Ecole Polytechnique Federale Lausanne (Switzlerland)
  3. Dept. of Physical and Chemical Sciences, Univ. of L’Aquila, L’Aquila (Italy)
  4. Univ. Pierre et Marie Curie, Paris (France)
We have performed accurate simulations of the Deuterium Hugoniot using Coupled Electron Ion Monte Carlo (CEIMC). Using highly accurate quantum Monte Carlo methods for the electrons, we study the region of maximum compression along the principal Hugoniot, where the system undergoes a continuous transition from a molecular fluid to a monatomic fluid. We include all relevant physical corrections so that a direct comparison to experiment can be made. Around 50 GPa we found a maximum compression of 4.85, roughly 10% larger than previous theoretical predictions and experimental data but still compatible with the latter because of their large uncertainty.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
DOE Office of Science; USDOE; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0001789
OSTI ID:
1565377
Alternate ID(s):
OSTI ID: 1198727
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 115; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (85)

Zur Quantentheorie der Molekeln journal January 1924
Zur Quantentheorie der Molekeln journal January 1927
Trial wave functions for high-pressure metallic hydrogen journal July 2008
Electronic Structure book September 2020
Electronic Structure book January 2004
Benchmark quantum Monte Carlo calculations journal July 2002
Accurate Computation of Vibronic Energies and of Some Expectation Values for H 2 , D 2 , and T 2 journal December 1964
Hugoniot of shocked liquid deuterium up to 300 GPa: Quantum molecular dynamic simulations journal August 2010
Prospects for release-node quantum Monte Carlo journal November 2011
Equation‐of‐state data for molecular hydrogen and deuterium at shock pressures in the range 2–76 GPa (20–760 kbar) a) journal August 1983
The penalty method for random walks with uncertain energies journal May 1999
The Jastrow antisymmetric geminal power in Hilbert space: Theory, benchmarking, and application to a novel transition state journal November 2013
Evidence for a first-order liquid-liquid transition in high-pressure hydrogen from ab initio simulations journal June 2010
Ab Initio Equation of State Data for Hydrogen, Helium, and Water and the Internal Structure of Jupiter journal August 2008
A Massive Core in Jupiter Predicted from First-Principles Simulations journal October 2008
Matter under extreme conditions of temperature and pressure journal January 1985
Dynamic compression of materials: metallization of fluid hydrogen at high pressures journal April 2006
Wave packet molecular dynamics simulations of warm dense hydrogen journal May 2003
Thermodynamics of hot dense H-plasmas: path integral Monte Carlo simulations and analytical approximations journal May 2001
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Hugoniot and temperature measurements of liquid hydrogen by laser-shock compression journal August 2010
XV. On the thermodynamic theory of waves of finite longitudinal disturbance journal January 1870
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Beyond the Born-Oppenheimer approximation with quantum Monte Carlo methods journal October 2014
Ground state of solid hydrogen at high pressures journal August 1987
Pressure-induced insulator-metal transitions in solid xenon and hydrogen: A first-principles quasiparticle study journal September 1992
Temperature measurements and dissociation of shock-compressed liquid deuterium and hydrogen journal December 1995
Density-functional calculation of the Hugoniot of shocked liquid deuterium journal January 2000
Density-functional calculations of the liquid deuterium Hugoniot, reshock, and reverberation timing journal August 2003
Ab initio simulations of dense liquid deuterium: Comparison with gas-gun shock-wave experiments journal January 2004
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
Hydrogen-helium mixtures in the interiors of giant planets journal January 2007
Thermophysical properties of warm dense hydrogen using quantum molecular dynamics simulations journal May 2008
Finite-size errors in continuum quantum Monte Carlo calculations journal September 2008
Time-resolved optical spectroscopy measurements of shocked liquid deuterium journal October 2008
Laser-driven single shock compression of fluid deuterium from 45 to 220 GPa journal January 2009
Multiphase equation of state of hydrogen from ab initio calculations in the range 0.2 to 5 g/cc up to 10 eV journal March 2011
Fate of density functional theory in the study of high-pressure solid hydrogen journal July 2013
Quantum Monte Carlo applied to solids journal December 2013
Benchmarking exchange-correlation functionals for hydrogen at high pressures using quantum Monte Carlo journal May 2014
Energy density matrix formalism for interacting quantum systems: Quantum Monte Carlo study journal July 2014
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms journal June 2001
Backflow correlations for the electron gas and metallic hydrogen journal October 2003
Shock Compression of Quartz to 1.6 TPa: Redefining a Pressure Standard journal November 2009
Dissociation of High-Pressure Solid Molecular Hydrogen: A Quantum Monte Carlo and Anharmonic Vibrational Study journal April 2014
Computation of the Correlated Metal-Insulator Transition in Vanadium Dioxide from First Principles journal April 2015
Shock-Wave Compression of Liquid Deuterium to 0.9 Mbar journal October 1973
Metallization of solid hydrogen at megabar pressures: A first-principles quasiparticle study journal January 1991
Metallization of Fluid Molecular Hydrogen at 140 GPa (1.4 Mbar) journal March 1996
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
Metallization of Molecular Hydrogen: Predictions from Exact-Exchange Calculations journal June 2000
Path Integral Monte Carlo Calculation of the Deuterium Hugoniot journal August 2000
Temperature Measurements of Shock Compressed Liquid Deuterium up to 230 GPa journal September 2001
Shock Compression of Deuterium near 100 GPa Pressures journal September 2002
Use of a Wave Reverberation Technique to Infer the Density Compression of Shocked Liquid Deuterium to 75 GPa journal January 2003
Finite-Size Error in Many-Body Simulations with Long-Range Interactions journal August 2006
Ab initio Quantum Monte Carlo Calculations of Spin Superexchange in Cuprates: The Benchmarking Case of Ca 2 CuO 3 journal July 2014
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
Quantum Monte Carlo simulations of solids journal January 2001
The properties of hydrogen and helium under extreme conditions journal November 2012
Theory and application of explicitly correlated Gaussians journal May 2013
Classic Papers in Shock Compression Science journal March 2002
PLANETARY SCIENCE: Enhanced: Looking into the Giant Planets journal September 2004
Interiors of the Giant Planets journal October 1981
Temperature measurements of shock-compressed liquid hydrogen: implications for the interior of Jupiter journal September 1995
Shock compression of solid deuterium journal October 2002
Experimental measurements of the compressibility, temperature, and light absorption in dense shock-compressed gaseous deuterium journal September 2004
Interiors of the Giant Planets journal May 1982
THE INTERIORS OF GIANT PLANETS: Models and Outstanding Questions journal May 2005
Hydrogen Properties for Fusion Energy book December 1986
Trial wave functions for High-Pressure Metallic Hydrogen text January 2007
Ab initio Equation of State data for hydrogen, helium, and water and the internal structure of Jupiter text January 2007
A Massive Core in Jupiter Predicted From First-Principles Simulations text January 2008
Hugoniot of shocked liquid deuterium up to 300 GPa: Quantum molecular dynamic simulations text January 2010
The Jastrow antisymmetric geminal power in Hilbert space: theory, benchmarking, and application to a novel transition state text January 2013
Computation of the correlated metal-insulator transition in vanadium dioxide from first principles text January 2013
Ab initio quantum Monte Carlo calculations of spin superexchange in cuprates: the benchmarking case of Ca$_2$CuO$_3$ text January 2014
Energy density matrix formalism for interacting quantum systems: a quantum Monte Carlo study text January 2014
Backflow Correlations for the Electron Gas and Metallic Hydrogen text January 2003
The Finite Size Error in Many-body Simulations with long-Ranged Interactions text January 2006
Hydrogen-Helium Mixtures in the Interiors of Giant Planets text January 2006
The Penalty Method for Random Walks with Uncertain Energies text January 1998

Cited By (13)

The uniform electron gas at warm dense matter conditions journal May 2018
Nonadiabatic effects and excitonlike states during the insulator-to-metal transition in warm dense hydrogen journal March 2020
Plasma phase transition in warm dense hydrogen journal February 2018
Plasma phase transition (by the fiftieth anniversary of the prediction) journal March 2019
Benchmarking vdW-DF first-principles predictions against Coupled Electron-Ion Monte Carlo for high-pressure liquid hydrogen journal February 2019
Theory of finite size effects for electronic quantum Monte Carlo calculations of liquids and solids journal July 2016
Exchange-correlation thermal effects in shocked deuterium: Softening the principal Hugoniot and thermophysical properties journal June 2019
Importance of finite-temperature exchange correlation for warm dense matter calculations journal June 2016
High-Precision Shock Wave Measurements of Deuterium: Evaluation of Exchange-Correlation Functionals at the Molecular-to-Atomic Transition journal January 2017
Phase Diagram of Hydrogen and a Hydrogen-Helium Mixture at Planetary Conditions by Quantum Monte Carlo Simulations journal January 2018
Phase diagram of hydrogen and a hydrogen-helium mixture at planetary conditions by Quantum Monte Carlo simulations text January 2017
The importance of finite-temperature exchange-correlation for warm dense matter calculations text January 2016
Phase Diagram of Hydrogen and a Hydrogen-Helium Mixture at Planetary Conditions by Quantum Monte Carlo Simulations text January 2018

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