Abstract
Generally speaking, the problem of annihilation rates of skyrmions pertains to the realm of rare events. That is, in a direct Langevin dynamics simulation, few—if any—annihilation events are observed. That is because the small timesteps [1] required to properly resolve the precessional dynamics of magnetic spin systems entails that direct simulations are, in practice, limited to a few hundred nanoseconds. Since skyrmions are required to be stable on the scale of ten years at room temperature for data storage applications, a better method than brute force simulations is required. In this chapter, we demonstrate the use of a path sampling method for the simulation of rare events, namely the forward flux sampling method, to compute collapse rates of magnetic skyrmions.
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Desplat, L. (2021). Skyrmion Collapse Rate Computation via Forward Flux Sampling and Comparison with Langer’s Theory. In: Thermal Stability of Metastable Magnetic Skyrmions. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-66026-0_5
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DOI: https://doi.org/10.1007/978-3-030-66026-0_5
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