Multicomponent systems in the new quantum statistical approach

TL;DR

This paper extends a quantum statistical approach to multicomponent systems with various particle types and spins, developing a hierarchy of equations for equilibrium states and thermodynamics.

Contribution

It generalizes a previous hierarchy-based approach to multicomponent systems, enabling analysis of systems with multiple particle types and spins in equilibrium.

Findings

Derived a hierarchy of equations for multicomponent systems.

Constructed thermodynamics for the generalized multicomponent hierarchy.

Extended the approach to systems with arbitrary particle spins.

Abstract

The paper is devoted to further development of the new approach in equilibrium statistical mechanics the basis of which was worked out in a series of articles by the author. The approach proceeds on the use of a hierarchy of equations for reduced density matrices in the case of thermodynamic equilibrium. The present paper deals with a system containing particles of several kinds with arbitrary spin, for which the hierarchy obtained previously for a single-component system is generalized. Thermodynamics of the multicomponent system described by the hierarchy deduced is constructed as well.