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Title: Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model

Abstract

Two phenomenological forms proposed to take into account the generation-recombination phenomenon of ions are investigated. The first form models the phenomenon as a chemical reaction, containing two coefficients describing the dissociation of neutral particles in ions, and the recombination of ions to give neutral particles. The second form is based on the assumption that in thermodynamical equilibrium, a well-defined density of ions is stable. Any deviation from the equilibrium density gives rise to a source term proportional to the deviation, whose phenomenological coefficient plays the role of a life time. The analysis is performed by evaluating the electrical response of an electrolytic cell to an external stimulus for both forms. For simplicity we assume that the electrodes are blocking, that there is only a group of negative and positive ions, and that the negative ions are immobile. For the second form, two cases are considered: (i) the generation-recombination phenomenon is due to an intrinsic mechanism, and (ii) the production of ions is triggered by an external source of energy, as in a solar cell. We show that the predictions of the two models are different at the impedance as well as at the admittance level. In particular, the first modelmore » predicts the existence of two plateaux for the real part of the impedance, whereas the second one predicts just one. It follows that impedance spectroscopy measurements could give information on the model valid for the generation-recombination of ions.« less

Authors:
 [1];  [2];  [3];  [4];  [1]
  1. Solid State Section, Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 157 84 (Greece)
  2. (Italy)
  3. (France)
  4. Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino (Italy)
Publication Date:
OSTI Identifier:
22099060
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 137; Journal Issue: 15; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; 74 ATOMIC AND MOLECULAR PHYSICS; ANIONS; CATIONS; CHEMICAL REACTIONS; DISSOCIATION; ELECTRIC IMPEDANCE; ELECTROLYTIC CELLS; EQUILIBRIUM; SOLAR CELLS; THERMODYNAMICS

Citation Formats

Lelidis, I., Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Universite de Picardie Jules Verne, Laboratoire de Physique des Systemes Complexes, 33 rue Saint-Leu 80039, Amiens, Barbero, G., and Sfarna, A. Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model. United States: N. p., 2012. Web. doi:10.1063/1.4757020.
Lelidis, I., Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Universite de Picardie Jules Verne, Laboratoire de Physique des Systemes Complexes, 33 rue Saint-Leu 80039, Amiens, Barbero, G., & Sfarna, A. Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model. United States. doi:10.1063/1.4757020.
Lelidis, I., Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Universite de Picardie Jules Verne, Laboratoire de Physique des Systemes Complexes, 33 rue Saint-Leu 80039, Amiens, Barbero, G., and Sfarna, A. Sun . "Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model". United States. doi:10.1063/1.4757020.
@article{osti_22099060,
title = {Comparison of two generation-recombination terms in the Poisson-Nernst-Planck model},
author = {Lelidis, I. and Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino and Universite de Picardie Jules Verne, Laboratoire de Physique des Systemes Complexes, 33 rue Saint-Leu 80039, Amiens and Barbero, G. and Sfarna, A.},
abstractNote = {Two phenomenological forms proposed to take into account the generation-recombination phenomenon of ions are investigated. The first form models the phenomenon as a chemical reaction, containing two coefficients describing the dissociation of neutral particles in ions, and the recombination of ions to give neutral particles. The second form is based on the assumption that in thermodynamical equilibrium, a well-defined density of ions is stable. Any deviation from the equilibrium density gives rise to a source term proportional to the deviation, whose phenomenological coefficient plays the role of a life time. The analysis is performed by evaluating the electrical response of an electrolytic cell to an external stimulus for both forms. For simplicity we assume that the electrodes are blocking, that there is only a group of negative and positive ions, and that the negative ions are immobile. For the second form, two cases are considered: (i) the generation-recombination phenomenon is due to an intrinsic mechanism, and (ii) the production of ions is triggered by an external source of energy, as in a solar cell. We show that the predictions of the two models are different at the impedance as well as at the admittance level. In particular, the first model predicts the existence of two plateaux for the real part of the impedance, whereas the second one predicts just one. It follows that impedance spectroscopy measurements could give information on the model valid for the generation-recombination of ions.},
doi = {10.1063/1.4757020},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 15,
volume = 137,
place = {United States},
year = {2012},
month = {10}
}