Speaker
Description
Disordered systems are not entirely random; they often harbor “hidden order” that cannot be captured by conventional structural descriptors. Understanding this “order within disorder” is key to uncovering the microscopic mechanisms of nonequilibrium phase transitions and to enabling the control of material properties.This report addresses the problem from both structural and spectral perspectives. At the structural level, we analyze the emergence of local ordering in disordered environments and its nonclassical evolution in processes such as crystallization. At the spectral level, we introduce a topological characterization based on vibrational modes to quantify the implicit organizational structure in disordered systems and reveal its connection to mechanical and functional properties.These advances open new avenues for the controlled growth, functional design, and performance characterization of disordered materials.