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 |
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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 |