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arXiv · 2511.11341

Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems

E. Martello·G. A. Falci·E. Paladino·F. M. D. Pellegrino
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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.

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E. Martello, G. A. Falci, E. Paladino, F. M. D. Pellegrino. 2025-11-14. Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems. https://doi.org/10.1103/qrcv-bcdn

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