Construction of effective interpolating equation of state for one-and two-component classical plasma

TL;DR

This paper presents a new effective method for constructing simple, accurate equations of state for classical plasmas, ensuring correct behavior in both weak and strong non-ideality regimes.

Contribution

It introduces a correction approach for existing radial distribution functions that is asymptotically exact and applicable to both one- and two-component plasmas.

Findings

Corrected forms of F(r) improve non-ideality modeling

Method provides asymptotically exact corrections in weak non-ideality limit

Offers smooth interpolation between weak and strong non-ideality regimes

Abstract

An effective approach for construction of simple approximation for description of non-ideality effects in classical one- and two-component plasma model is under discussion. General constraints i.e. positiveness and exponential type for radial distribution functions F2(r) combined with normalizing (local electroneutrality) conditions, which validity is independent on degree of non-ideality, are used for effective correction of several well-known approximated forms of F(r). Resulting corrected forms F*(r) leads to non-ideality corrections, which are asymptotically exact in the weak non-ideality limit and at the same time have good extrapolating properties in the strong non-ideality limit. The simplest example - corrected Debye-Hueckel approximation - leads to simple and explicit form of such non-ideality corrections. The same approach is applied to classical two-component plasma model. Resulting corrected approximation gives smooth and plausible interpolation between weak and strong non-ideality limits.