Fluctuation-dissipation considerations and damping models for ferromagnetic materials
Vladimir L. Safonov, H. Neal Bertram

TL;DR
This paper examines the application of fluctuation-dissipation theorems to magnetization dynamics, highlighting inconsistencies when using certain theorems with dissipative magnetic models like Landau-Lifshitz-Gilbert.
Contribution
It critically analyzes the applicability of the Callen-Welton fluctuation-dissipation theorem to dissipative magnetic systems, revealing potential inconsistencies.
Findings
Callen-Welton theorem may give inconsistent results for magnetic dissipation.
Damping models like Landau-Lifshitz-Gilbert require careful fluctuation considerations.
Discussion on appropriate fluctuation-dissipation relations for ferromagnetic materials.
Abstract
The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation theorem that was proven for Hamiltonian systems can give an inconsistent result for magnetic systems with dissipation.
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