The Multisite Antiferromagnetic Ising Spin Model and Universality of Feigenbaum Constants

TL;DR

This paper calculates the Feigenbaum constants for a three-site antiferromagnetic Ising model on a Husimi tree, demonstrating their universality and providing a detailed description of the transition from order to chaos.

Contribution

It introduces the calculation of Feigenbaum constants for a specific physical spin model, confirming their universality in a real system.

Findings

Feigenbaum constants match universal values with high accuracy

Quantitative description of the transition from order to chaos

Validation of universality in a physical spin system

Abstract

The Feigenbaum constants $\alpha$ and $\delta$ for the three-site antiferromagnetic Ising spin model on Husimi tree are calculated. It is shown that the numerical values of these constants for this real physical system coincide with the famous universal Feigenbaum constants with high accuracy. The quantitative description from ordering to chaos is also obtained.