Ion sphere model for Yukawa systems (dusty plasmas)

TL;DR

This paper applies the ion sphere model to Yukawa systems, demonstrating its effectiveness in estimating thermodynamic properties of strongly coupled dusty plasmas, including internal energy, pressure, and compressibility.

Contribution

It extends the ion sphere model to Yukawa systems, providing simple formulas for thermodynamic properties in strongly coupled regimes.

Findings

ISM provides good estimates of internal energy in Yukawa systems.

Derived expressions for pressure and compressibility are useful for wave analysis.

Neighbor interactions suffice for accurate thermodynamics in strong screening regimes.

Abstract

Application of the ion sphere model (ISM), well known in the context of the one-component-plasma, to estimate thermodynamic properties of model Yukawa systems is discussed. It is shown that the ISM approximation provides fairly good estimate of the internal energy of the strongly coupled Yukawa systems, in both fluid and solid phases. Simple expressions for the excess pressure and isothermal compressibility are derived, which can be particularly useful in connection to wave phenomena in strongly coupled dusty plasmas. It is also shown that in the regime of strong screening a simple consideration of neighboring particles interactions can be sufficient to obtain quite accurate estimates of thermodynamic properties of Yukawa systems.