Investigation of the annealed disordered Ising systems within two-tail approximation

TL;DR

This paper introduces a new approach to study disordered two-component Ising systems with long-range interactions, providing numerical insights and comparing different approximation methods for thermodynamic properties.

Contribution

It proposes a novel two-tail approximation method for analyzing disordered Ising systems with long-range interactions, applicable to alloys and lattice gases.

Findings

Numerical results for thermodynamical properties are obtained.

Comparison between mean field, gaussian field, and two-tail approximations.

The two-tail approximation offers improved insights over traditional methods.

Abstract

In the present paper an approach for investigation of the disordered two-component Ising systems with long range interaction has been suggested. Possible applications to metalic and magnetic alloys and lattice gas are considered. We have also obtained numerical results for thermodynamical properties of these models. The comparison of numerical results obtained within mean field, gaussian field and two-tail approximations are carried out.