Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capacitive energy storage in single-file pores: Exactly-solvable models
  and simulations   Understanding charge storage in low-dimensional electrodes is crucial for
developing novel ecologically friendly devices for capacitive energy storage
and conversion, water desalination, etc. Exactly-solvable models allow in-depth
analyses and essential physical insights into the charging mechanisms. So far,
however, such analytical approaches have been mainly limited to lattice models.
Herein, we develop a versatile, exactly-solvable, one-dimensional off-lattice
model for charging single-file pores. Unlike the lattice model, this model
shows an excellent quantitative agreement with three-dimensional Monte Carlo
simulations. With analytical calculations and simulations, we show that the
differential capacitance can be bell-shaped (one peak), camel-shaped (two
peaks), or have four peaks. Transformations between these capacitance shapes
can be induced by changing pore ionophilicity, cation-anion size asymmetry, or
by adding solvent. We find that the camel-shaped capacitance, characteristic of
dilute electrolytes, appears for strongly ionophilic pores with high ion
densities, which we relate to charging mechanisms specific to narrow pores. We
also derive a large-voltage asymptotic expression for the capacitance, showing
that the capacitance decays to zero as the inverse square of the voltage, $C
\sim u^{-2}$. This dependence follows from hard-core interactions and is not
captured by the lattice model.

29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs