Statistical theory of charged particle systems including triple bound states -- and the Collaboration Lviv-Rostock

TL;DR

This paper reviews recent advances in the statistical thermodynamics of Coulomb systems, emphasizing the role of exponential potentials and analyzing three-particle bound states in classical and quantum contexts.

Contribution

It introduces new expressions for cluster integrals, mass action functions, and the equation of state for systems with three-particle bound states, extending previous theoretical frameworks.

Findings

New formulas for cluster integrals of helium and ionic triples

Analysis of three-particle bound states in classical and quantum systems

Progress in statistical descriptions of Coulomb systems with bound states

Abstract

Honoring the hundredth anniversary of the birthday of Ihor R. Yuknovskii we analyze new developments in the statistical thermodynamics of Coulomb systems. The basic idea of this work is to demonstrate that the exponential potential used in the first papers of Yukhnovskii is an appropriate reference system for a description of classical and quantum charged particle systems. We briefly discuss the collaboration between the groups of Ihor R. Yuknovskii in Lviv and G\"unter Kelbg in Rostock and analyze several approaches based on pair correlation functions and cluster expansion in the classical as well as in the quantum case. Finally, we discuss the progress in the statistical description of bound states of three particles as in helium plasmas and in MgCl$_2$-solutions in the classical case and present new results regarding the influence of three-particle bound states. In particular, we give new expressions for the cluster integrals and the mass action functions of helium atoms and ionic triple associates as well as for the equation of state (EoS).