Averaging of the free induction decay from an ensemble of small spin clusters

The current study considers analytical and numerical realization of the averaging procedure modeling the observable magnetization response from the regular diluted spin system. It consists with spin clusters having different sizes and similar geometry. There is a strong effect of the size distribution function on the total magnetization. While the diluted magnetic includes the clusters of close sizes, the transversal magnetization is the typical oscillating Abragam trial function. However, the large dispersion in size of local clusters leads to the monotonous behavior of the signal envelope. It decays exponentially in such a configuration. The analytical estimates and numerical simulation of the spin ensemble match each other.

Automated summary

This study investigates the analytical and numerical modeling of the observable magnetization response in a regular diluted spin system. The size distribution of spin clusters has a significant impact on the total magnetization. When the clusters have similar sizes, the transversal magnetization follows an oscillating Abragam trial function. However, a large dispersion in cluster sizes leads to a monotonous decay of the signal envelope. The analytical estimates and numerical simulations of the spin ensemble are consistent.