Physical meaning of the full width half maximum of switching time distribution in ferromagnetic nano-structure

Generally, line width or full width half maximum of physically measurable quantity. For example, the line with of RLC is related with quality factor of the circuit, and one of ferromagnetic resonance is related with damping constant of the ferromagnetic materials. The switching time of the ferromagnetic nano-structure has been actively studied because of its importance in the physics and device applications. And the switching behavior itself is well described by Fokker Planck Equation (FPE) [1]. Recently, we found that the full width of half maximum (FWHM) of switching time distribution is closely related with the damping constant [2]. We solved FPE with high barrier approximation, we obtained the FWHM is inversely proportional to the external applied field, and the damping constant can be obtained from the slope. Surprisingly enough, the obtained relation is quite similar to the equation for the damping constant and line width of the ferromagnetic resonance, while its underlying physics are totally different.

[1] W. H. Butler, et al., IEEE Trans. MAG. 48, 4684 (2012).
[2] J.-H. Moon, T. Y. Lee, and C.-Y. You, Sci. Rep.8, 13288 (2018).