Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems
Abstract
We develop a Fokker-Planck approach to describe the dynamics of staggered magnetization and thermal fluctuations in a two-dimensional antiferromagnetic system with uniaxial anisotropy. Beginning with a classical model for the antiferromagnetic system, we incorporate a Landau-Lifshitz-Gilbert equation augmented by Langevin fields to account for thermal fluctuations, and we derive the Fokker-Planck equation governing the probability distribution function of the spin configuration. Employing the mean-field approximation, we derive the equations of motion for the spin polarization and the two-time spin-spin correlation functions. The methodology is applied to the study of spin-wave dynamics and to the formulation of a phenomenological model for resistance fluctuations in two-dimensional antiferromagnetic semiconductors.
Keywords
Cite
@article{arxiv.2511.11341,
title = {Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems},
author = {E. Martello and G. A. Falci and E. Paladino and F. M. D. Pellegrino},
journal= {arXiv preprint arXiv:2511.11341},
year = {2026}
}
Comments
22 pages, 5 figures