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Tajima S, Singh H, Nakabayashi S, Singla T, Parmananda P. The emergence of synchrony behavior in weakly coupled electrochemical oscillators via a ‘metallic plate’. J Electroanal Chem (Lausanne) 2016. [DOI: 10.1016/j.jelechem.2016.03.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Bîrzu A, Plenge F, Jaeger NI, Hudson JL, Krischer K. Complex Spatiotemporal Antiphase Oscillations during Electrodissolution of a Metal Disk Electrode: Model Calculations. J Phys Chem B 2003. [DOI: 10.1021/jp022457w] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Adrian Bîrzu
- Department of Physics, Technical University of München, James-Franck-Strasse 1, 85748 Garching, Germany, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany, Institute for Applied and Physical Chemistry, University of Bremen, FB 2-Biology/Chemistry, Postfach 330 440, 28334 Bremen, Germany, and Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741
| | - Florian Plenge
- Department of Physics, Technical University of München, James-Franck-Strasse 1, 85748 Garching, Germany, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany, Institute for Applied and Physical Chemistry, University of Bremen, FB 2-Biology/Chemistry, Postfach 330 440, 28334 Bremen, Germany, and Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741
| | - Nils I. Jaeger
- Department of Physics, Technical University of München, James-Franck-Strasse 1, 85748 Garching, Germany, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany, Institute for Applied and Physical Chemistry, University of Bremen, FB 2-Biology/Chemistry, Postfach 330 440, 28334 Bremen, Germany, and Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741
| | - John L. Hudson
- Department of Physics, Technical University of München, James-Franck-Strasse 1, 85748 Garching, Germany, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany, Institute for Applied and Physical Chemistry, University of Bremen, FB 2-Biology/Chemistry, Postfach 330 440, 28334 Bremen, Germany, and Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741
| | - Katharina Krischer
- Department of Physics, Technical University of München, James-Franck-Strasse 1, 85748 Garching, Germany, Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany, Institute for Applied and Physical Chemistry, University of Bremen, FB 2-Biology/Chemistry, Postfach 330 440, 28334 Bremen, Germany, and Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741
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Christoph J, Eiswirth M. Theory of electrochemical pattern formation. CHAOS (WOODBURY, N.Y.) 2002; 12:215-230. [PMID: 12779549 DOI: 10.1063/1.1449956] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
The spatial coupling in electrochemical systems is mediated by ion migration under the influence of the electric field. Since field effects spread very rapidly, every point of an electrode can communicate with every other one practically instantaneously through migration coupling. Based on mathematical potential theory we present the derivation of a generally applicable reaction-migration equation, which describes the coupling via an integral over the whole electrode area. The corresponding coupling function depends only on the geometry of the electrode setup and has been computed for commonly used electrode shapes (such as ring, disk, ribbon or rectangle). The pattern formation observed in electrochemical systems in the bistable, excitable and oscillatory regime can be reproduced in computer simulations, and the types of patterns occurring under different geometries can be rationalized. (c) 2002 American Institute of Physics.
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Affiliation(s)
- J. Christoph
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany
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