Statistical theory of charged particle systems including triple bound states -- and the Collaboration Lviv-Rostock
arXiv:2506.16338 · doi:10.5488/cmp.28.23101
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 Günter 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-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).
arXiv comment28 pages, 9 figures
References in corpus (7)
- First principles simulations of dense hydrogen
- Accurate first-principle equation of state for the One-Component Plasma
- The equation of state of partially ionized hydrogen and deuterium plasma revisited
- On the quantum statistics of bound states within the Rutherford model of matter
- Bound States in Coulomb Systems - Old Problems and New Solutions
- On the influence of molecular structure on the conductivity of electrolyte solutions - sodium nitrate in water
- Statistical theory of individual activity coefficients of electrolytes including multiple ionic charges