Self-Organization of Topological Defects due to Applied Constraints

McCoy, Jonathan H.; Pesch, Werner; Bodenschatz, Eberhard

doi:10.1103/PhysRevLett.101.254102

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Self-Organization of Topological Defects due to Applied Constraints

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Bodenschatz, Eberhard
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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McCoy, J. H., Pesch, W., & Bodenschatz, E. (2008). Self-Organization of Topological Defects due to Applied Constraints. Physical Review Letters, 101(25), 254102-1-254102-4. doi:10.1103/PhysRevLett.101.254102.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1349-F

Abstract

While topological defects are essential to our understanding of self-organizing periodic systems, little is known about how these systems respond when their defects are subjected to geometrical constraints. In an experiment on spatially modulated thermal convection patterns, we observe that applied geometrical constraints bind topological defects into robust self-localized structures that evolve through aggregation, annihilation, and self-replication. We demonstrate that this unexpected cooperative response to the modulation is a natural consequence of three generic elements: phaselocking, symmetry-breaking, and spatial resonance.