Hierarchical Landscape of Hard Disk Glasses

摘要: We numerically analyse the landscape governing evolution of vibrational dynamics hard disk glasses as density increases towards jamming. find that becomes slow, spatially correlated, and starts to display aging across an avoided Gardner transition, with a phenomenology resembles three dimensional observations. carefully behaviour single glass samples, emergence is controlled by apparition complex organisation splits into remarkable hierarchy minima jamming approached. Our results show mean-field prediction phase characterized ultrametric structure provides useful description finite systems, even when transition avoided.