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Media type:
E-Article
Title:
Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study
Contributor:
Barcilon, V.;
Eisenberg, R. S.;
Jerome, J. W.
Published:
Society for Industrial and Applied Mathematics, 1997
Published in:
SIAM Journal on Applied Mathematics, 57 (1997) 3, Seite 631-648
Language:
English
ISSN:
0036-1399
Origination:
Footnote:
Description:
<p>Poisson-Nernst-Planck (PNP) systems are considered in the case of vanishing permanent charge. A detailed case study, based on natural categories described by system boundary conditions and flux, is carried out via simulation and singular perturbation analysis. Our results confirm the rich structure inherent in these systems. A natural quantity, the quotient of the Debye and characteristic length scales, serves as the singular perturbation parameter. The regions of validity are carefully analyzed by critical comparisons and contrasts between the simulation and the perturbation solution, which can be represented in closed form.</p>