Time scales in the thermal dynamics of magnetic dipolar clusters

TL;DR

This paper models the thermal dynamics of magnetic dipolar clusters using Brownian oscillators, revealing how interactions, temperature, damping, and inertia influence their frequency modes and correlation lengths.

Contribution

It introduces a Langevin equation approach to analyze the time scales and correlation lengths in thermally active magnetic dipole systems.

Findings

Interactions and temperature affect frequency modes.

Damping and inertia influence edge and bulk spin dynamics.

Identifies key time scales and correlation lengths.

Abstract

The collective behavior of thermally active structures offers clues on the emergent degrees of freedom and the physical mechanisms that determine the low energy state of a variety of systems. Here, the thermally active dynamics of magnetic dipoles at square plaquettes is modeled in terms of Brownian oscillators in contact with a heat bath. Solution of the Langevin equation for a set of interacting x-y dipoles allows the identification of the time scales and correlation length that reveal how interactions, temperature, damping and inertia may determine the frequency modes of edge and bulk magnetic mesospins in artificial dipolar systems.