All-Electron Path Integral Monte Carlo Simulations of Warm Dense Matter: Application to Water and Carbon Plasmas

Abstract

We develop an all-electron path integral Monte Carlo (PIMC) method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend PIMC studies beyond hydrogen and helium to elements with core electrons. PIMC pressures, internal energies, and pair-correlation functions compare well with density functional theory molecular dynamics (DFT-MD) at temperatures of (2.5-7.5)$\times 10^5$ K and both methods together form a coherent equation of state (EOS) over a density-temperature range of 3--12 g/cm${}^3$ and 10${}^4$--10${}^9$ K.

References in corpus (3)

• Ab initio Equation of State data for hydrogen, helium, and water and the internal structure of Jupiter
• First Principles Calculations of Shock Compressed Fluid Helium
• Equation of state for partially ionized carbon at high temperatures

Cited by in corpus (4)

• Quantum hydrodynamics for plasmas -- a Thomas-Fermi theory perspective
• Fast and accurate quantum molecular dynamics of dense plasmas across temperature regimes
• Gradient corrections to the exchange-correlation free energy
• Two-temperature pair potentials and phonon spectra for simple metals in the warm dense matter regime