The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

We study the impact of classical short-range nonlinear interactions on transport in lattices
with no dispersion. The single-particle band structure of these lattices contains flat bands …

We use a novel unitary map toolbox—discrete-time quantum walks originally designed for
quantum computing—to implement ultrafast computer simulations of extremely slow …

We numerically investigate the characteristics of chaos evolution during wave-packet
spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon …

We study the interaction among dispersion, nonlinearity, and disorder effects in the context
of wave transmission through a discrete periodic structure, subjected to continuous …

We study the spreading of initially localized excitations in one-dimensional disordered
granular crystals. We thereby investigate localization phenomena in strongly nonlinear …

We numerically investigate the characteristics of the long-time dynamics of a single-site
wave-packet excitation in a disordered and nonlinear Su-Schrieffer-Heeger model. In the …

Abstract Implementing the Generalized Alignment Index (GALI) method of chaos detection
we investigate the dynamical behavior of the nonlinear disordered Klein–Gordon lattice …

Energy transport properties in heterogeneous materials have attracted scientific interest for
more than half of a century, and they continue to offer fundamental and rich questions. One …

We investigate the energy transport in one-dimensional disordered granular solids by
extensive numerical simulations. In particular, we consider the case of a polydisperse …