Effective Gilbert damping in the stochastic Landau-Lifshitz-Gilbert equation
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arXiv
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| Format: | Preprint |
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2026
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| author | Regout, Mexx. E. Y. Dupé, Bertrand Verstraete, Matthieu J. |
| author_facet | Regout, Mexx. E. Y. Dupé, Bertrand Verstraete, Matthieu J. |
| contents | Quasi particle based (e.g. Boltzmann equation) studies of spin wave transport often assume that their scattering rates follow the simple form $η=αω$, with the Gilbert damping $α$ and frequency $ω$. In this work, we examine the effective damping $α_{eff,T}=η/ω$ observed in atomistic spin dynamics, when temperature and spin wave interactions are introduced for a 1D spin chain. We extract the dynamical correlation functions from spin trajectories propagated using the stochastic Landau-Lifshitz-Gilbert equation, and fit the dynamical structure factor, yielding the dispersion and scattering rates for a wide range of temperatures. The resulting effective damping can be very different from the initially constant Gilbert value. It exhibits a temperature and crystal momentum scaling which we explain based on interactions with the Gilbert bath and spin wave scattering by changes in local magnetic order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07416 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Effective Gilbert damping in the stochastic Landau-Lifshitz-Gilbert equation Regout, Mexx. E. Y. Dupé, Bertrand Verstraete, Matthieu J. Mesoscale and Nanoscale Physics Quasi particle based (e.g. Boltzmann equation) studies of spin wave transport often assume that their scattering rates follow the simple form $η=αω$, with the Gilbert damping $α$ and frequency $ω$. In this work, we examine the effective damping $α_{eff,T}=η/ω$ observed in atomistic spin dynamics, when temperature and spin wave interactions are introduced for a 1D spin chain. We extract the dynamical correlation functions from spin trajectories propagated using the stochastic Landau-Lifshitz-Gilbert equation, and fit the dynamical structure factor, yielding the dispersion and scattering rates for a wide range of temperatures. The resulting effective damping can be very different from the initially constant Gilbert value. It exhibits a temperature and crystal momentum scaling which we explain based on interactions with the Gilbert bath and spin wave scattering by changes in local magnetic order. |
| title | Effective Gilbert damping in the stochastic Landau-Lifshitz-Gilbert equation |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2605.07416 |