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arXiv · 1911.12058

Scaling of energy spreading in a disordered Ding-Dong lattice

A. Pikovsky
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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.

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A. Pikovsky. 2019-11-27. Scaling of energy spreading in a disordered Ding-Dong lattice. https://doi.org/10.1088/1742-5468%2Fab7e30

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