Berlin 2015 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 62: Poster - Dynamics

DY 62.23: Poster

Donnerstag, 19. März 2015, 16:00–18:00, Poster A

Synchronization and Phase Separation of Motile Oscillators — •Sebastian Milster and Lutz Schimansky-Geier — Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr.15, 12489 Berlin

We present a model of noisy interacting Kuramoto phase oscillators with unimodal and bimodal frequency distributions. The oscillators have also the ability to move in two spatial dimensions as noisy self-propelled particles. Within a small sensing radius, these moving oscillators are locally coupled. The motility facilitates a rearrangement of the oscillators. It changes locally the network structure while maintaining the global degree distribution.

This complex temporal network of non-identical phase oscillators exhibits various behaviors ranging from completely disordered over transient waves to globally synchronized states. In this work we study the influence of the motility on the synchronization processes in vessels and periodic confinements. We conclude to what extend the techniques of static network analyzes are applicable. First insights into the underlying dynamics are deduced from a globally coupled network approach and we present analytical results for static networks with a multimodal distribution of the intrinsic frequencies. For identical oscillators, we estimate critical values of coupling strength for the onset of synchronization. In case of a bimodal frequency distribution, a manipulation of the oscillators' motility in the dependence of the degree of synchronization leads to a spatial separation of the two populations with different frequencies.