Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Nonlinear Dynamics II
DY 33.6: Vortrag
Freitag, 26. März 2010, 12:00–12:15, H46
Mobility enhances synchronization — Fernando Peruani1, Ernesto M. Nicola2, and •Luis G. Morelli3,4 — 1CEA-Service de Physique de l'Etat Condense', Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France — 2IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain — 3Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany — 4Max Planck Institute for the Physics of Complex Systems, Dresden, Germany
When coupled oscillators hold fixed positions in space, local interactions can drive the organization of spatial and temporal patterns, as for instance in the cardiac tissue. A different situation occurs when the oscillators are not fixed in space but are able to move around. We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. We show that together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which display local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical spatial diffusion above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by the relative size of attractor basins associated to wave-like states. By disrupting these states, spatial diffusion paves the way for the system to attain global synchronization. Our theoretical framework allows for an interpretation of recent experiments with small porous particles that behave as individual chemical oscillators.