Statistics of Topological Defects and Spatiotemporal Chaos in a Reaction-Diffusion System

M. Hildebrand, M. Bär, and M. Eiswirth
Phys. Rev. Lett. 75, 1503 – Published 21 August 1995
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Abstract

The transition between rotating spirals and spatiotemporal chaos (“spiral turbulence”) in an excitable reaction-diffusion system is investigated by means of statistics of topological defects of the concentration field. The ratio of the variance and the mean value of the number of defects show a significant deviation from unity at this point. A change of the defect dynamics within the turbulent regime reveals a strong similarity to a liquid-to-gas transition, while a liquid-solid-like transition occurs upon a jumplike return to the region of spiral stability.

  • Received 27 February 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.1503

©1995 American Physical Society

Authors & Affiliations

M. Hildebrand, M. Bär, and M. Eiswirth

  • Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany

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Vol. 75, Iss. 8 — 21 August 1995

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