Correlation properties of non-affine deformations in the framework of random matrix theory

Within the framework of the developed model of correlated random matrices, analytical expressions for pair correlations of non-affine components of atomic displacements in a disordered structure are obtained. Correlations of spatial derivatives of non-affine deformations corresponding to correlations between variations in the density of matter arising during deformation are considered. It is shown that such correlations have a delta-shaped component, which corresponds to the statistics of white noise, as well as a negative correlation, exponentially decreasing on the scale of non-affineity.