@article{Pikovsky2020,
  author    = {Pikovsky, Arkady},
  title     = {Scaling of energy spreading in a disordered Ding-Dong lattice},
  series = {Journal of statistical mechanics: theory and experiment},
  volume    = {2020},
  journal   = {Journal of statistical mechanics: theory and experiment},
  number    = {5},
  publisher = {IOP Publishing Ltd.},
  address   = {Bristol},
  issn      = {1742-5468},
  doi       = {10.1088/1742-5468/ab7e30},
  pages     = {12},
  year      = {2020},
  abstract  = {We study numerical propagation of energy in a one-dimensional Ding-Dong lattice composed of linear oscillators with elastic collisions. Wave propagation is suppressed by breaking translational symmetry, and we consider three ways to do this: position disorder, 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 the appearance of chaos, and subdiffusive. For a range of energies and of weak and moderate levels of disorder, we focus on the macroscopic statistical characterization of spreading. Guided by a nonlinear diffusion equation, we establish that the mean waiting times of spreading obey a scaling law in dependence of energy. Moreover, we show that the spreading exponents very weakly depend on the level of disorder.},
  language  = {en}
}