Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical interpretation of Warburg's impedance in electrolytic cells   We discuss the origin of Warburg's impedance in electrolytic cells containing
only one group of positive and one group of negative ions. Our analysis is
based on the Poisson-Nernst-Planck model, where the generation-recombination
phenomenon is neglected. We show that to observe Warburg's like impedance the
diffusion coefficient of the positive ions has to differen from that of the
negative one, and furthermore that the electrodes have to be not blocking. We
assume that the non-blocking properties of the electrodes can be described by
means of an Ohmic model, where the charge exchange between the cell and the
external circuit is described by means of an electrode conductivity. For
simplicity we consider a symmetric cell. However, our analysis can be easily
generalized to more complicated situations, where the cell is not symmetric and
the charge exchange is described by Chang-Jaffe model, or by a linearized
version of Butler-Volmer equation. Our analysis allows to justify the
expression for Warburg's impedance proposed previously by several groups, based
on wrong assumptions.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol