An Ising spin - S model on generalized recursive lattice

TL;DR

This paper derives the general free energy and magnetization formulas for the Ising spin-S model on recursive p-polygonal lattices, establishing exact relations between free energies on infinite structures.

Contribution

It provides a novel exact analytical framework for the Ising spin-S model on recursive lattices, extending previous models to arbitrary spin values.

Findings

Derived general formulas for free energy and magnetization.

Established exact relations between free energies on infinite tree and interior.

Extended analysis to arbitrary spin values in the Ising model.

Abstract

The Ising spin - S model on recursive p - polygonal structures in the external magnetic field is considered and the general form of the free energy and magnetization for arbitrary spin is derived. The exact relation between the free energies on infinite entire tree and on its infinite "interior" is obtained.