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  Theory of electrochemical pattern formation

Christoph, J., & Eiswirth, M. (2002). Theory of electrochemical pattern formation. Chaos, 12(1), 215-230. doi:10.1063/1.1449956.

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 Creators:
Christoph, Jan1, Author              
Eiswirth, Markus1, Author              
Affiliations:
1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546              

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Free keywords: ANODIC NICKEL DISSOLUTION; OSCILLATORY CHEMICAL-REACTIONS; SURFACE-PLASMON MICROSCOPY; FORMIC-ACID OXIDATION; SPATIOTEMPORAL PATTERNS; RING ELECTRODE; METAL ELECTRODISSOLUTION; POTENTIOSTATIC CONTROL; ACCELERATING FRONTS; MODEL-CALCULATIONS
 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.

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Language(s): eng - English
 Dates: 2002-02-21
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 8257
DOI: 10.1063/1.1449956
 Degree: -

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Title: Chaos
Source Genre: Journal
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Pages: - Volume / Issue: 12 (1) Sequence Number: - Start / End Page: 215 - 230 Identifier: -