The local elastic structure of a single-atom Lennard-Jones glass is discussed. We show that the local pressures in this system have a large variance in their distribution, which is of the same scale as the breaking pressure. These pressures have a spatial medium range order with a characteristic...

The fracton description of vibrational excitations in the strong scattering regime, above the Ioffe-Regel limit is reviewed. The reasons why this is a plausible model for vibrations in amorphous materials are explained and some predictions discussed. It is shown how such a model arises in the...