Spatial structure of unstable normal modes in a glass-forming liquid

The phenomenology of glass-forming liquids is often described in terms their underlying, high-dimensional potential energy surface. In particular, the statistics stationary points sampled as a function temperature provides useful insight into thermodynamics and dynamics system. To make contact with real space physics, however, analysis spatial structure normal modes required. this work, we numerically study surface ternary mixture. Starting from liquid configurations equilibrated over broad range temperatures using swap Monte Carlo method, locate nearby investigate architecture energetics associated unstable modes. Through spatially-resolved analysis, originally developed to local minima, corroborate recent evidence that nature changes delocalized localized around mode-coupling temperature. We find displacement amplitudes have slowly decaying far field, whereas consist core large displacements rapidly field. fractal dimension mobility edge equal 1, consistent scaling participation ratio. Finally, below are structural defects, characterized by disordered markedly different liquid's locally favored structure. These defects similar those quasi-localized vibrations minima good candidates predict emergence excitations at low