Kinetics the proliferation of correlations in multiple quantum NMR spectroscopy

It is shown that the number of spins in clusters of coherently correlated states arising under conditions of multiplequantum NMR – spectroscopy in a solid increases exponentially with time. The Smolukhovsky equation was used to study the above processes. Possible processes of cluster degradation were not taken into account. The results obtained are in good agreement with the experimental data, at least up to about 105 spins in the cluster.