_version_ 1866910754790178816
author Bonitz, Michael
Vorberger, Jan
Bethkenhagen, Mandy
Böhme, Maximilian
Ceperley, David
Filinov, Alexey
Gawne, Thomas
Graziani, Frank
Gregori, Gianluca
Hamann, Paul
Hansen, Stephanie
Holzmann, Markus
Hu, S. X.
Kählert, Hanno
Karasiev, Valentin
Kleinschmidt, Uwe
Kordts, Linda
Makait, Christopher
Militzer, Burkhard
Moldabekov, Zhandos
Pierleoni, Carlo
Preising, Martin
Ramakrishna, Kushal
Redmer, Ronald
Schwalbe, Sebastian
Svensson, Pontus
Dornheim, Tobias
author_facet Bonitz, Michael
Vorberger, Jan
Bethkenhagen, Mandy
Böhme, Maximilian
Ceperley, David
Filinov, Alexey
Gawne, Thomas
Graziani, Frank
Gregori, Gianluca
Hamann, Paul
Hansen, Stephanie
Holzmann, Markus
Hu, S. X.
Kählert, Hanno
Karasiev, Valentin
Kleinschmidt, Uwe
Kordts, Linda
Makait, Christopher
Militzer, Burkhard
Moldabekov, Zhandos
Pierleoni, Carlo
Preising, Martin
Ramakrishna, Kushal
Redmer, Ronald
Schwalbe, Sebastian
Svensson, Pontus
Dornheim, Tobias
contents Accurate knowledge of the properties of hydrogen at high compression is crucial for astrophysics (e.g. planetary and stellar interiors, brown dwarfs, atmosphere of compact stars) and laboratory experiments, including inertial confinement fusion. There exists experimental data for the equation of state, conductivity, and Thomson scattering spectra. However, the analysis of the measurements at extreme pressures and temperatures typically involves additional model assumptions, which makes it difficult to assess the accuracy of the experimental data. rigorously. On the other hand, theory and modeling have produced extensive collections of data. They originate from a very large variety of models and simulations including path integral Monte Carlo (PIMC) simulations, density functional theory (DFT), chemical models, machine-learned models, and combinations thereof. At the same time, each of these methods has fundamental limitations (fermion sign problem in PIMC, approximate exchange-correlation functionals of DFT, inconsistent interaction energy contributions in chemical models, etc.), so for some parameter ranges accurate predictions are difficult. Recently, a number of breakthroughs in first principle PIMC and DFT simulations were achieved which are discussed in this review. Here we use these results to benchmark different simulation methods. We present an update of the hydrogen phase diagram at high pressures, the expected phase transitions, and thermodynamic properties including the equation of state and momentum distribution. Furthermore, we discuss available dynamic results for warm dense hydrogen, including the conductivity, dynamic structure factor, plasmon dispersion, imaginary-time structure, and density response functions. We conclude by outlining strategies to combine different simulations to achieve accurate theoretical predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2405_10627
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle First principles simulations of dense hydrogen
Bonitz, Michael
Vorberger, Jan
Bethkenhagen, Mandy
Böhme, Maximilian
Ceperley, David
Filinov, Alexey
Gawne, Thomas
Graziani, Frank
Gregori, Gianluca
Hamann, Paul
Hansen, Stephanie
Holzmann, Markus
Hu, S. X.
Kählert, Hanno
Karasiev, Valentin
Kleinschmidt, Uwe
Kordts, Linda
Makait, Christopher
Militzer, Burkhard
Moldabekov, Zhandos
Pierleoni, Carlo
Preising, Martin
Ramakrishna, Kushal
Redmer, Ronald
Schwalbe, Sebastian
Svensson, Pontus
Dornheim, Tobias
Computational Physics
Plasma Physics
Accurate knowledge of the properties of hydrogen at high compression is crucial for astrophysics (e.g. planetary and stellar interiors, brown dwarfs, atmosphere of compact stars) and laboratory experiments, including inertial confinement fusion. There exists experimental data for the equation of state, conductivity, and Thomson scattering spectra. However, the analysis of the measurements at extreme pressures and temperatures typically involves additional model assumptions, which makes it difficult to assess the accuracy of the experimental data. rigorously. On the other hand, theory and modeling have produced extensive collections of data. They originate from a very large variety of models and simulations including path integral Monte Carlo (PIMC) simulations, density functional theory (DFT), chemical models, machine-learned models, and combinations thereof. At the same time, each of these methods has fundamental limitations (fermion sign problem in PIMC, approximate exchange-correlation functionals of DFT, inconsistent interaction energy contributions in chemical models, etc.), so for some parameter ranges accurate predictions are difficult. Recently, a number of breakthroughs in first principle PIMC and DFT simulations were achieved which are discussed in this review. Here we use these results to benchmark different simulation methods. We present an update of the hydrogen phase diagram at high pressures, the expected phase transitions, and thermodynamic properties including the equation of state and momentum distribution. Furthermore, we discuss available dynamic results for warm dense hydrogen, including the conductivity, dynamic structure factor, plasmon dispersion, imaginary-time structure, and density response functions. We conclude by outlining strategies to combine different simulations to achieve accurate theoretical predictions.
title First principles simulations of dense hydrogen
topic Computational Physics
Plasma Physics
url https://arxiv.org/abs/2405.10627