# Energy of Quantum Coulomb Liquid

## TL;DR

This paper calculates the energy of quantum Coulomb liquids relevant to dense stellar matter using path integral Monte Carlo methods, providing data crucial for modeling the thermal evolution of white dwarfs and neutron stars.

## Contribution

It introduces first-principles calculations of quantum Coulomb liquid energy across a wide coupling range, applicable to astrophysical dense matter.

## Key findings

- Energy values for quantum Coulomb liquids over a broad coupling range.
- Reliable heat capacity data for ions in dense stellar environments.
- Implications for thermal modeling of white dwarfs and neutron stars.

## Abstract

Using Metropolis method to compute path integrals, the energy of quantum strongly-coupled Coulomb liquid ($1 \leq \Gamma \leq 175$) composed of distinguishable atomic nuclei and uniform incompressible electron background is calculated from first principles. The range of considered temperatures and densities represents fully-ionized layers of white dwarfs and neutron stars. In particular, the results allow one to determine reliably the heat capacity of ions in dense fluid stellar matter, which is a crucial ingredient for modelling thermal evolution of compact degenerate stars.