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(Color online) (a) A schematic diagram of an electrokinetic battery. (b) Schematic illustration of electrokinetic power generation in a cation-selective nanopore. and are the pore radius and length, respectively. and are, respectively, the pressure difference and the potential difference. refers to the slip length.
(Color online) Plots of the maximum conversion efficiency (, bold solid-line) and the corresponding output power density (, dashed-line) of a cation-selective nanopore as a function of in the absence of slip. Note that the fine solid-line represents the results of a cation-selective nanoslit calculated using Eq. (S8) (See Ref. 15). The values of are calculated for , , and . Inset: a comparison of the results obtained from the semi-analytical (solid-line) and approximation (dashed-line) expressions of Z for a cation-selective nanoslit.
Contour plots of (a) the maximum conversion efficiency () (left) and the corresponding output power density () (right), and (b) the efficiency of maximum power () (left) and the corresponding maximum power density () (right) as functions of and for a Li+ ion-selective nanopore. The counter values for the efficiency and power density are in units of % and W/m2, respectively.
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