Energetics of interacting magnetized domains

Area of Science:

• Soft Matter Physics
• Materials Science
• Magnetohydrodynamics

Background:

• Pattern formation in various systems (ferrofluids, lipid monolayers, superconductors, magnetic bubbles) can be modeled using dipolar domains.
• Understanding the initial stages of pattern development in these systems is crucial for predicting their behavior and applications.

Purpose of the Study:

• To investigate the early stages of pattern formation in a system of two quasi-two-dimensional dipolar domains.
• To theoretically determine the preferred low-energy configurations for interacting dipolar domains.

Main Methods:

• Calculation of the linearized interaction energy between two quasi-two-dimensional dipolar domains.
• Theoretical modeling of domain interactions and energy states.

Main Results:

• The lowest energy states are characterized by each domain exhibiting an indentation directed towards the other domain.
• Theoretical predictions for preferred domain configurations were obtained.

Conclusions:

• The study identifies specific indentation patterns as energetically favorable for interacting dipolar domains.
• Theoretical findings are consistent with experimental results observed in ferrofluid systems, validating the model.