Superellipse Equation Models Ferromagnet Magnetization
Published:Dec 31, 2025 10:35
•1 min read
•ArXiv
Analysis
This paper proposes a novel approach to model the temperature dependence of spontaneous magnetization in ferromagnets like Ni2MnGa, nickel, cobalt, and iron. It utilizes the superellipse equation with a single dimensionless parameter, simplifying the modeling process. The key advantage is the ability to predict magnetization behavior near the Curie temperature (Tc) by measuring magnetization at lower temperatures, thus avoiding difficult experimental measurements near Tc.
Key Takeaways
- •The superellipse equation is used to model the temperature dependence of spontaneous magnetization.
- •A single dimensionless parameter simplifies the model.
- •Measurements at low temperatures can predict behavior near the Curie temperature.
- •Avoids difficult experimental measurements near the Curie temperature.
Reference
“The temperature dependence of the spontaneous magnetization of Ni2MnGa and other ferromagnets can be described in reduced coordinates by the superellipse equation using a single dimensionless parameter.”