Generalized Lattice Model of Multi-Component Systems with Internal Degrees of Freedom. II. Quasiequilibrium States

TL;DR

This paper extends a generalized lattice model to multicomponent systems with internal degrees of freedom, deriving equations for equilibrium and quasi-equilibrium states, and linking inter-atomic potentials to a Ginzburg-Landau-Cahn-Hilliard-like functional.

Contribution

It introduces a novel approach to model multicomponent systems with internal degrees of freedom, connecting inter-atomic potentials to a Ginzburg-Landau-Cahn-Hilliard-like functional and deriving related equations.

Findings

Derived equations for equilibrium and quasi-equilibrium states.

Linked inter-atomic potential characteristics to GLCH-like functional parameters.

Showed internal degrees obey a Schrödinger-like equation in frozen component distribution.

Abstract

The paper contains an application of the generalized lattice model to multicomponent systems with internal degrees of freedom. The short-range inter-atomic repulsions and smooth long-range parts of the inter-atomic potentials are considered separately by means of packing condition and in effective field approximation, respectively. The dependence of the inter-atomic potentials on the internal degrees of freedoms (such as atomic electric and/or magnetic momentum) taken into account. The Helmholtz free energy functional in the generalized lattice model is reduced to the Ginzburg-Landau-Cahn-Hilliard-like form. The connection between the inter-atomic potentials characteristics and the parameters of the GLCH-like functional is obtained. Equations for both equilibrium and quasi-equilibrium states in condensed systems are derived. It is shown that equilibrium distribution of the fast internal degrees of freedom by frozen space distribution of the components obeys to the Schroedinger-like equation.