Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 40: Statistical Physics (General) I
DY 40.11: Vortrag
Dienstag, 8. März 2005, 12:45–13:00, TU H3010
Generation of spatiotemporal correlated noise in 1+1 dimensions — •Arne Traulsen1, Karen Lippert2, and Ulrich Behn2 — 1Institut für Theoretische Physik und Astrophysik, Christian Albrechts Universität Kiel, Leibnizstrasse 15, D-24098 Kiel — 2Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10-11, D-04109 Leipzig
We propose a generalization of the Ornstein-Uhlenbeck process in 1+1 dimensions which is the product of a temporal Ornstein-Uhlenbeck process with a spatial one and has exponentially decaying autocorrelation factorizing into a spatial and a temporal part [A. Traulsen, K. Lippert, and U. Behn, Phys. Rev. E 69, 026116 (2004)]. The process is an alternative to a spatiotemporal correlated model process proposed in [J. García-Ojalvo et al., Phys. Rev. A 46, 4670 (1992)] for which we calculate explicitely the hitherto not known autocorrelation function in real space.