Energy spreading in strongly nonlinear disordered lattices
- We study the scaling properties of energy spreading in disordered strongly nonlinear Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear oscillators, and demonstrate a rather slow, subdiffusive spreading of initially localized wave packets. We use a fractional nonlinear diffusion equation as a heuristic model of this process, and confirm that the scaling predictions resulting from a self-similar solution of this equation are indeed applicable to all studied cases. We show that the spreading in nonlinearly coupled linear oscillators slows down compared to a pure power law, while for nonlinear local oscillators a power law is valid in the whole studied range of parameters.
| Verfasserangaben: | Mario Mulansky, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1088/1367-2630/15/5/053015 |
| ISSN: | 1367-2630 |
| Titel des übergeordneten Werks (Englisch): | New journal of physics : the open-access journal for physics |
| Verlag: | IOP Publ. Ltd. |
| Verlagsort: | Bristol |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Jahr der Erstveröffentlichung: | 2013 |
| Erscheinungsjahr: | 2013 |
| Datum der Freischaltung: | 26.03.2017 |
| Band: | 15 |
| Ausgabe: | 5 |
| Seitenanzahl: | 23 |
| Fördernde Institution: | Project HPC-EUROPA2 [228398]; European Community; CNR Institute for Complex Systems in Florence; IHP Paris; DFG [PI 220/12-1] |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer Review: | Referiert |
| Publikationsweg: | Open Access |
