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          Institute: Fritz-Haber-Institut     Collection: Physical Chemistry     Display Documents



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ID: 289273.0, Fritz-Haber-Institut / Physical Chemistry
Breathing current domains in globally coupled electrochemical systems: A comparison with a semiconductor model
Authors:Plenge, Florian; Rodin, Pavel; Schöll, Eckehard; Krischer, Katharina
Language:English
Date of Publication (YYYY-MM-DD):2001-11
Title of Journal:Physical Review E
Journal Abbrev.:Phys. Rev. E
Volume:64
Issue / Number:5
Start Page:056229-1
End Page:056229-12
Copyright:© 2001 The American Physical Society
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:Spatio-temporal bifurcations and complex dynamics in globally coupled intrinsically bistable electrochemical systems with an S-shaped current-voltage characteristic under galvanostatic control are studied theoretically on a one-dimensional domain. The results are compared with the dynamics and the bifurcation scenarios occurring in a closely related model which describes pattern formation in semiconductors. Under galvanostatic control both systems are unstable with respect to the formation of stationary large amplitude current domains. The current domains as well as the homogeneous steady state exhibit oscillatory instabilities for slow dynamics of the potential drop across the double layer, or across the semiconductor device, respectively. The interplay of the different instabilities leads to complex spatio-temporal behavior. We find breathing current domains and chaotic spatio-temporal dynamics in the electrochemical system. Comparing these findings with the results obtained earlier for the semiconductor system, we outline bifurcation scenarios leading to complex dynamics in globally coupled bistable systems with subcritical spatial bifurcations.
Free Keywords:PACS: 82.40.-g, 82.45.-h, 72.20.Ht, 05.70.Ln; bifurcation; electrochemistry; chaos; nonlinear dynamical systems; stability; nonequilibrium thermodynamics
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Ertl
Affiliations:Fritz-Haber-Institut
External Affiliations:Schöll E, Rodin P, Inst. f.Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany; Rodin P, Ioffe Physicotechnical Institute of the Russian Academy of Sciences, Politechnicheskaya 26, 194021 St. Petersburg, Russia
Identifiers:URL:http://link.aps.org/abstract/PRE/v64/e056229 [only subscriber]
DOI:10.1103/PhysRevE.64.056229
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0108048v1.pdf  [571,00 Kb] [Comment:arXiv:nlin/0108048v1 [nlin.PS] 27 Aug 2001]  
 
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