Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Poster I
DY 7.18: Poster
Montag, 11. März 2013, 17:30–19:30, Poster C
Order by disorder in frustrated oscillators — •Florin Ionita1, Darka Labavić1, Michael Zaks2, and Hildegard Meyer-Ortmanns1 — 1School of Engineering and Science, Jacobs University Bremen, PO Box 750561, D-28725 Bremen, Germany — 2Institute of Mathematics, Humboldt-University at Berlin, Rudower Chaussee 25, 12489 Berlin, Germany
We study Kuramoto oscillators on regular and all-to-all topologies with geometric frustration due to repulsive couplings. As a result of this frustration we observe a proliferation of stationary states in the gradient dynamics, which differ by their patterns of phase-locked motion. As a special subset of these states we identify plane-wave solutions and prove their stability. When we turn on additive noise, we observe for an intermediate noise strength an order-by-disorder effect, similarly to the ordering effect that is induced by disorder in frustrated spin systems. Here it means that a disordered state with no synchronization turns into a state with partial synchronization, or a state with a low degeneracy turns into a state with a larger degeneracy of synchronized phases. Similar results are found for active rotators.