M
Michael Hildebrand
Researcher at Fritz Haber Institute of the Max Planck Society
Publications - 18
Citations - 911
Michael Hildebrand is an academic researcher from Fritz Haber Institute of the Max Planck Society. The author has contributed to research in topics: Reaction–diffusion system & Mesoscopic physics. The author has an hindex of 15, co-authored 18 publications receiving 889 citations. Previous affiliations of Michael Hildebrand include Max Planck Society.
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Spatiotemporal self-organization in a surface reaction: from the atomic to the mesoscopic scale.
TL;DR: Simulations on the basis of a reaction-diffusion model reproduce the experimental findings qualitatively well and reveals the limitations of this traditional approach to modeling spatiotemporal pattern formation in nonlinear dynamics.
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Traveling Nanoscale Structures in Reactive Adsorbates with Attractive Lateral Interactions
TL;DR: A novel type of traveling structures in surface chemical reactions is presented in this article, resulting from the competition between reactions, diffusion, and the phase transition caused by attractive lateral interactions between adsorbed particles, are predicted to exist on submicrometer and nanometer scales.
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Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities
TL;DR: A realistic reaction-diffusion model of the CO oxidation on the Pt(110) surface under vacuum conditions is studied, showing a dominance of the global gas-phase coupling over local coupling via surface diffusion and the possibility of wave instabilities under excitable conditions.
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Statistics of Topological Defects and Spatiotemporal Chaos in a Reaction-Diffusion System.
TL;DR: 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, revealing a strong similarity to a liquid-to-gas transition.
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Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model
Martin Zimmermann,Sascha O. Firle,Mario A. Natiello,Michael Hildebrand,Markus Eiswirth,Markus Bär,A.K. Bangia,Ioannis G. Kevrekidis +7 more
TL;DR: In this article, the stability of solitary pulses as well as some other traveling structures near the onset of spatiotemporal chaos in a two-species reaction-diffusion model describing the oxidation of C...