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Meta-GGA exchange-correlation free energy density functional to increase the accuracy of warm dense matter simulations

Journal Article · · Physical Review. B
 [1];  [2];  [2]
  1. Univ. of Rochester, NY (United States); Laboratory for Laser Energetics, University of Rochester
  2. Univ. of Rochester, NY (United States)
We discuss strategies for thermalization of the ground-state meta-generalized gradient approximation (meta-GGA) exchange-correlation (XC) functionals. A simple but accurate scheme is implemented via universal additive thermal correction to XC using a perturbative-like self-consistent approach. The additive correction with explicit temperature dependence is applied to the ground-state deorbitalized, strongly constrained and appropriately normed (SCAN-L) meta-GGA XC leading to thermal XC functional denoted here as T-SCAN-L. Thermal T-SCAN-L meta-GGA functional shows significant improvement in density functional theory calculation accuracy for warm dense matter by a factor of 3 to 10, achieving unprecedented accuracy of total pressure between a few tenths and 1% when compared to traditional XC functionals, as demonstrated by the comparison to pathintegral Monte Carlo simulations for helium equation of state. Furthermore, the T-SCAN-L calculations of dc conductivity of warm dense aluminum also give better agreement with experiments over other XC functionals such as PBE and SCAN-L.
Research Organization:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC02-05CH11231; NA0003856
OSTI ID:
1846924
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 105; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (67)

Zur Theorie der Kernmassen journal July 1935
The Interior Structure, Composition, and Evolution of Giant Planets journal December 2009
Density functional theory at finite temperatures journal May 1988
Extended Thomas-Fermi theory at finite temperature journal November 1985
Fourth order gradient corrections to the free energy of noninteracting many-electron systems at finite temperature journal March 1985
Improved analytical representation of combinations of Fermi–Dirac integrals for finite-temperature density functional calculations journal July 2015
Non-equilibrium solid-to-plasma transition dynamics using XANES diagnostic journal October 2016
Ab Initio Molecular Dynamics book January 2009
The calculation of atomic fields journal January 1927
Accurate and Numerically Efficient r 2 SCAN Meta-Generalized Gradient Approximation journal September 2020
Density functional theory calculations of continuum lowering in strongly coupled plasmas journal March 2014
High-precision measurements of the equation of state of hydrocarbons at 1–10 Mbar using laser-driven shock waves journal May 2010
Impact of first-principles properties of deuterium–tritium on inertial confinement fusion target designs journal April 2015
First-principles equation-of-state table of beryllium based on density-functional theory calculations journal June 2017
A review on ab initio studies of static, transport, and optical properties of polystyrene under extreme conditions for inertial confinement fusion applications journal May 2018
Ab initio simulation of warm dense matter journal April 2020
Finite temperature scaling in density functional theory journal November 2015
Density Effects on the Opacity of Cool Helium White Dwarf Atmospheres journal April 2002
The Boltzmann Equation in the Theory of Electrical Conduction in Metals journal April 1958
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Deorbitalization strategies for meta-generalized-gradient-approximation exchange-correlation functionals journal November 2017
Influence of finite temperature exchange-correlation effects in hydrogen journal May 2020
Thermal hybrid exchange-correlation density functional for improving the description of warm dense matter journal June 2020
Meta-GGA performance in solids at almost GGA cost journal September 2020
Fourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperature journal December 1985
Accurate and simple analytic representation of the electron-gas correlation energy journal June 1992
Born-Oppenheimer molecular-dynamics simulations of finite systems: Structure and dynamics of ( H 2 O ) 2 journal July 1993
Path integral Monte Carlo and density functional molecular dynamics simulations of hot, dense helium journal April 2009
Metallization in hydrogen-helium mixtures journal December 2011
Generalized-gradient-approximation noninteracting free-energy functionals for orbital-free density functional calculations journal September 2012
Nonlocal orbital-free noninteracting free-energy functional for warm dense matter journal November 2013
Gradient corrections to the exchange-correlation free energy journal October 2014
X-ray absorption K edge as a diagnostic of the electronic temperature in warm dense aluminum journal August 2015
Multiphase aluminum equations of state via density functional theory journal October 2016
Optical properties of highly compressed polystyrene: An ab initio study journal October 2017
Electron-ion thermal equilibration dynamics in femtosecond heated warm dense copper journal February 2018
Deorbitalized meta-GGA exchange-correlation functionals in solids journal September 2018
Status of free-energy representations for the homogeneous electron gas journal May 2019
Exchange-correlation thermal effects in shocked deuterium: Softening the principal Hugoniot and thermophysical properties journal June 2019
Unraveling the intrinsic atomic physics behind x-ray absorption line shifts in warm dense silicon plasmas journal March 2021
Ionization of carbon at 10–100 times the diamond density and in the 10 6  K temperature range journal July 2021
Electrical conductivity of dense copper and aluminum plasmas journal May 1998
First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications journal April 2014
First-principles equation of state of polystyrene and its effect on inertial confinement fusion implosions journal October 2015
Experimental and ab initio investigations of microscopic properties of laser-shocked Ge-doped ablator journal December 2015
Importance of finite-temperature exchange correlation for warm dense matter calculations journal June 2016
First-principles equation-of-state table of silicon and its effects on high-energy-density plasma simulations journal April 2017
Nonlocal van der Waals Density Functional Made Simple journal August 2009
Exact Conditions in Finite-Temperature Density-Functional Theory journal October 2011
Accurate Homogeneous Electron Gas Exchange-Correlation Free Energy for Local Spin-Density Calculations journal February 2014
Fast and Accurate Quantum Molecular Dynamics of Dense Plasmas Across Temperature Regimes journal October 2014
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Warm Dense Matter Demonstrating Non-Drude Conductivity from Observations of Nonlinear Plasmon Damping journal May 2017
Continuum Lowering and Fermi-Surface Rising in Strongly Coupled and Degenerate Plasmas journal August 2017
Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions journal February 2018
Shock Compression of Liquid Deuterium up to 1 TPa journal June 2019
Generalized Gradient Approximation Made Simple journal October 1996
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)] journal February 1997
Fully consistent density functional theory determination of the insulator-metal transition boundary in warm dense hydrogen journal September 2020
Versatile van der Waals Density Functional Based on a Meta-Generalized Gradient Approximation journal October 2016
Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium journal June 2015
Nonlocal exchange contribution to the free energy of inhomogeneous many–fermion systems. I: Formulation of the gradient expansion journal January 1994
Nonlocal exchange contribution to the free energy of inhomogeneous many-fermion systems. II: Second-order gradient coefficient for a Coulomb system journal January 1994
Nonlocal exchange contribution to the free energy of inhomogeneous many-fermion systems. III: Numerical study for screened Coulomb interaction journal January 1994
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems journal June 1957
A B I NITIO M OLECULAR D YNAMICS WITH D ENSITY F UNCTIONAL T HEORY journal October 2002

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