A spin operator for modeling ferromagnetic alignment

TL;DR

This paper introduces a new spin operator model for simulating ferromagnetic alignment, focusing on many-body interactions and the evolution of particles into the same spin state over time.

Contribution

It develops a novel operator framework for many-body spin interactions that effectively models ferromagnetic alignment dynamics.

Findings

Successfully models the growth of same-spin particle populations over time

Accurately reproduces recent experimental and theoretical ferromagnetic formations

Provides a practical approach for simulating ferromagnetic behavior

Abstract

We have limited our interaction scope to those involving particle-s spin. We then develop operators for handling a many-body treatment of the spin interactions. The results presented show how to promote the particles of the system into the same spin state with time. We therefore, in order to tune the model for ferro-magnetism, assume that the operators act only on particles that are, initially, of the same spin state. The observed growth in the population of particles of the same spin with time makes the model a success. Almost all of the recent experimentally observed and theoretically predicted formations are accurately obtainable with this model.