Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Current-Voltage Relations for Electrochemical Thin Films   The dc response of an electrochemical thin film, such as the separator in a
micro-battery, is analyzed by solving the Poisson-Nernst-Planck equations,
subject to boundary conditions appropriate for an electrolytic/galvanic cell.
The model system consists of a binary electrolyte between parallel-plate
electrodes, each possessing a compact Stern layer, which mediates Faradaic
reactions with nonlinear Butler-Volmer kinetics. Analytical results are
obtained by matched asymptotic expansions in the limit of thin double layers
and compared with full numerical solutions. The analysis shows that (i)
decreasing the system size relative to the Debye screening length decreases the
voltage of the cell and allows currents higher than the classical
diffusion-limited current; (ii) finite reaction rates lead to the important
possibility of a reaction-limited current; (iii) the Stern-layer capacitance is
critical for allowing the cell to achieve currents above the reaction-limited
current; and (iv) all polarographic (current-voltage) curves tend to the same
limit as reaction kinetics become fast. Dimensional analysis, however, shows
that ``fast'' reactions tend to become ``slow'' with decreasing system size, so
the nonlinear effects of surface polarization may dominate the dc response of
thin films.

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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg