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New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials
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10.1063/1.4790656
/content/aip/journal/jmp/54/2/10.1063/1.4790656
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/2/10.1063/1.4790656

Figures

Image of FIG. 1.
FIG. 1.

Left: Strongly heterogeneous material as a periodic covering of reference cells Y ≔ [0, ℓ] N . Top, middle: The reference cell Y represents a characteristic mean pore geometry. Right: The “homogenization limit” stands here for the leading order approximation of non-standard two-scale expansions.

Tables

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Table I.

Effective PNP equations: Various different upscaled formulations arise under different assumptions. We abbreviate by “PB” the “Poisson-Boltzmann equations,” “PNP” the “PNP equations,” and “Onsager” the “Onsager reciprocal relations.”

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/content/aip/journal/jmp/54/2/10.1063/1.4790656
2013-02-20
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: New porous medium Poisson-Nernst-Planck equations for strongly oscillating electric potentials
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/2/10.1063/1.4790656
10.1063/1.4790656
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