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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vols. 323-325Numerical Aspects of Electrodiffusion Problem...

Numerical Aspects of Electrodiffusion Problem Based on Nernst-Planck and Poisson Equations

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Abstract:

Motivation for this work comes from the application of the inverse method to electrochemical systems. The basic process operating in these systems is electrodiffusion, which can be described by the full form of the Nernst-Planck and Poisson equations. No simplification like electroneutrality assumption is used. Numerical procedure based on the method of lines (MLs) for time dependent electrodiffusion transport is presented with any number of ionic species. The resulting system of ODEs is effectively solved by employing different integrators (Radau IIA, Rosenbrock, SEULEX). Selected electrochemical systems (liquid junction, bi-ionic case, ion selective electrodes (ISE)) are treated. Performance of the integrators is compared.

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Diffusion in Materials - DIMAT 2011

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Periodical:

Defect and Diffusion Forum (Volumes 323-325)

Pages:

81-86

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.323-325.81

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Online since:

April 2012

Authors:

Janusz Fausek, Krzysztof Szyszkiewicz, Robert Filipek

Keywords:

Bi-Ionic Case, Electrodiffusion, Inverse Problem, Ion Transport, Ion-Selective Electrode (ISE), Liquid Junction, Method of Lines, Nernst-Planck-Poisson, Sensor

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Cohen, J. Cooley; Biophys. J., 1965, 5, 145-162.

[2] H. Chang, E. Jaffé; J. Chem. Phys., 1952, 20, 1071-1077.

[3] T. R. Brumleve, R. P. Buck; J. Electroanal. Chem., 1978, 90, 1-31.

[4] T. Sokalski, P. Lingenfelter, A. Lewenstam; J. Phys. Chem. B, 2003, 107, 2443-2452.

[5] D. Britz, Digital Simulations in Electrochemistry, Springer-Verlag Berlin Heidelberg (2005).

[6] W. E. Schiesser; The Numerical Method of Lines, Academic Press, San Diego, (1991).

[7] R. Filipek; Modelling of diffusion in multi-component systems, in Polish Ceramic Bulletin, edited by R. Pampuch; and L. Stoch , The Polish Ceramic Society, Kraków, (2005).

[8] V. M. Volgin, A. D. Davydov; J. Electroanal. Chem., 2007, 600, 171-179.

[9] E. Hairer, G. Wanner; J. Comput. Appl. Math., 1999, 111, 93-111. ].

[10] L. K. Bieniasz; J. Electroanal. Chem., 1999, 469, 97-115.

[11] E. Hairer, G. Wanner; Solving Ordinary Differential Equations II, Springer (2002).

[12] W. H. Nernst; Z. Phys. Chem., 1889, 4, 165.

[13] M. Planck; Ann. Phys. Chem., 1890, 39, 161-186.

[14] M. Planck; Ann. Phys. Chem., 1890, 40, 561.

[15] W. E. Morf; The Principles of Ion-Selective Electrodes and of Membrane Transport; Akademiai Kiado: Budapest (1981).

[16] M. J. Dole; Am. Chem. Soc., 1931, 53, 4260-4280.

[17] B. P. Nikolskii; Acta Phys. -Chim. USSR, 1937, 7, 597-610.

[18] O. K. Stefanova, M. M. Shultz, E. A. Materova, B. P. Nikolskii; Viest. Leningr. Univ., 1963, 4, 93.

[19] M. M. Shultz, O. K. Stefanova; Viest. Leningr. Univ., 1967, 6, 103.

[20] F. Conti, G. Eisenman; Biophys. J., 1965, 5, 247-256.

[21] F. Conti, G. Eisenman; G. Biophys. J., 1965, 5, 511- 530.

[22] IUPAC; Pure Appl. Chem., 1976, 48, 129-132.

[23] IUPAC; Pure Appl. Chem., 1994, 66, 2527-2536.