# Thermodynamics of two-dimensional Yukawa systems across coupling regimes

## TL;DR

This study systematically investigates the thermodynamics of two-dimensional Yukawa systems across various coupling regimes using molecular dynamics simulations, providing practical formulas and insights relevant to colloids, plasmas, and electrolytes.

## Contribution

It offers comprehensive thermodynamic data and simple models for 2D Yukawa systems across coupling regimes, including crystalline states, using MD simulations and interpolation methods.

## Key findings

- Accurate fits for internal energy and pressure across regimes
- Application of shortest-graph interpolation for pair correlations
- Finite-temperature effects modeled by peak corrections in pair correlation functions

## Abstract

Thermodynamics of two-dimensional Yukawa (screened Coulomb or Debye-H\"uckel) systems is studied systematically using molecular dynamics (MD) simulations. Simulations cover very broad parameter range spanning from weakly coupled gaseous states to strongly coupled fluid and crystalline states. Important thermodynamic quantities such as internal energy and pressure are obtained and accurate physically motivated fits are proposed. This allows us to put forward simple practical expressions to describe thermodynamic properties of two-dimensional Yukawa systems. For crystals, in addition to numerical simulations, the recently developed shortest-graph interpolation method is applied to describe pair correlations and hence thermodynamic properties. It is shown that the finite-temperature effects can be accounted for by using simple correction of peaks in the pair correlation function. The corresponding correction coefficients are evaluated using MD simulation. The relevance of the obtained results in the context of colloidal systems, complex (dusty) plasmas, ions absorbed to interfaces in electrolytes is pointed out.