Roughening interfaces in deterministic dynamics
- Two deterministic processes leading to roughening interfaces are considered. It is shown that the dynamics of linear perturbations of turbulent regimes in coupled map lattices is governed by a discrete version of the Kardar-Parisi-Zhang equation. The asymptotic scaling behavior of the perturbation field is investigated in the case of large lattices. Secondly, the dynamics of an order-disorder interface is modelled with a simple two-dimensional coupled map lattice, possesing a turbulent and a laminar state. It is demonstrated, that in some range of parameters the spreading of the turbulent state is accompanied by kinetic roughening of the interface.
| Verfasserangaben: | Jürgen KurthsORCiDGND, Arkadij PikovskijORCiDGND, Christian Scheffczyk |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-13447 |
| Schriftenreihe (Bandnummer): | NLD Preprints (3) |
| Publikationstyp: | Preprint |
| Sprache: | Englisch |
| Erscheinungsjahr: | 1994 |
| Veröffentlichende Institution: | Universität Potsdam |
| Datum der Freischaltung: | 18.05.2007 |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
| DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
