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From ballistic to Brownian vortex motion in complex oscillatory media

Jörn Davidsen·Ronaldo Erichsen·Raymond Kapral·Hugues Chaté
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Abstract

We show that the breaking of the rotation symmetry of spiral waves in two-dimensional complex (period-doubled or chaotic) oscillatory media by synchronization defect lines (SDL) is accompanied by an intrinsic drift of the pattern. Single vortex motion changes from ballistic flights at a well-defined angle from the SDL to Brownian-like diffusion when the turbulent character of the medium increases. It gives rise, in non-turbulent multi-spiral regimes, to a novel ``vortex liquid''.

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Jörn Davidsen, Ronaldo Erichsen, Raymond Kapral, Hugues Chaté. 2004-10-19. From ballistic to Brownian vortex motion in complex oscillatory media. https://doi.org/10.1103/physrevlett.93.018305

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