Unit:
Τομέας Φυσικής Συμπυκνωμένης ΎληςLibrary of the School of Science
Supervisors info:
Επικ. Καθηγητής Ιωάννης Λελίδης (επιβλεπών), Αναπλ. Καθηγητής Αναστάσιος Μαλάκης, Αναπλ. Καθηγητής Κωνσταντίνος Ευταξίας
Original Title:
Σύγκριση δύο μοντέλων με διαφορετικούς μηχανισμούς πηγής στην εξίσωση των Poisson-Nernst-Planck
Translated title:
Comparison of two generation recombination terms in the Poisson Nernst Planck model
Summary:
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. 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 one group of negative and positive ions, and that the negative ions are
immobile. We show that the predictions of these models concerning the impedance
of the cell are not equivalent. 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.
Keywords:
Impedance spectroscopy, Generation recombination of ions, Dielectric spectroscopy, Electrolytic liquid, Small voltage
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