Scaling of energy spreading in a disordered Ding-Dong lattice
arXiv:1911.12058 · doi:10.1088/1742-5468/ab7e30
Abstract
We study numerically propagation of energy in a one dimensional Ding-Ding lattice, composed of linear oscillators with ellastic collisions. Wave propagation is suppressed by breaking translational symmetry, we consider three way to do this: a position disorder, a mass disorder, and a dimer lattice with alternating distances between the units. In all cases the spreading of an initially localized wavepacket is irregular, due to appearance of chaos, and subdiffusive. Guided by a nonlinear diffusion equation, we establish that the mean waiting times of spreading obey a scaling law in dependence on energy. Moreover, we show that the spreading exponents very weakly depend on the level of disorder.
References in corpus (7)
- Destruction of Anderson localization by a weak nonlinearity
- Compactons and Chaos in Strongly Nonlinear Lattices
- KAM tori in 1D random discrete nonlinear Schrödinger model?
- Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices
- Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
- Chaos and Anderson Localisation in Disordered Classical Chains: Hertzian vs FPUT models
- Heat flux in one-dimensional systems