Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
- In nonlinear disordered Hamiltonian lattices, where there are no propagating phonons, the spreading of energy is of subdiffusive nature. Recently, the universality class of the subdiffusive spreading according to the nonlinear diffusion equation (NDE) has been suggested and checked for one-dimensional lattices. Here, we apply this approach to two-dimensional strongly nonlinear lattices and find a nice agreement of the scaling predicted from the NDE with the spreading results from extensive numerical studies. Moreover, we show that the scaling works also for regular lattices with strongly nonlinear coupling, for which the scaling exponent is estimated analytically. This shows that the process of chaotic diffusion in such lattices does not require disorder.
| Verfasserangaben: | Mario Mulansky, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.86.056214 |
| ISSN: | 1539-3755 |
| Titel des übergeordneten Werks (Englisch): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Verlag: | American Physical Society |
| Verlagsort: | College Park |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Jahr der Erstveröffentlichung: | 2012 |
| Erscheinungsjahr: | 2012 |
| Datum der Freischaltung: | 26.03.2017 |
| Band: | 86 |
| Ausgabe: | 5 |
| Seitenanzahl: | 7 |
| Fördernde Institution: | European Community-under the FP7 "Research Infrastructure" Programme; IHP Paris; DFG [PI 220/12-1] |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer Review: | Referiert |
