Stability dependence of local elastic inhomogeneities of amorphous solids

There is a rich history of studies that suggest the vibrational and thermal anomalies in amorphous solids are linked to the local fluctuations in the elastic matrix of the amorphous medium. More recently numerical and experimental studies have shown a correlation between the vibrational properties and the stability of the medium. In this work, we studied the interplay between the stability and the fluctuations in the local elastic constants for a wide range of stabilities. We found that the variance of the local elastic constants becomes smaller with increasing stability. We also investigated the spatial correlations of the local elastic constants and determined that these constants have only very short range correlations.