Scaling of energy spreading in a disordered Ding-Dong lattice
- 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.
Verfasserangaben: | Arkady PikovskyORCiDGND |
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DOI: | https://doi.org/10.1088/1742-5468/ab7e30 |
ISSN: | 1742-5468 |
Titel des übergeordneten Werks (Englisch): | Journal of statistical mechanics: theory and experiment |
Verlag: | IOP Publishing Ltd. |
Verlagsort: | Bristol |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Datum der Erstveröffentlichung: | 13.05.2020 |
Erscheinungsjahr: | 2020 |
Datum der Freischaltung: | 21.03.2023 |
Freies Schlagwort / Tag: | connections between chaos and statistical physics; nonlinear dynamics; transport properties |
Band: | 2020 |
Ausgabe: | 5 |
Aufsatznummer: | 053301 |
Seitenanzahl: | 12 |
Fördernde Institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534] |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 50 Naturwissenschaften |
Peer Review: | Referiert |
Publikationsweg: | Open Access / Green Open-Access |