期刊
JOURNAL OF CHEMICAL PHYSICS
卷 134, 期 15, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3580288
关键词
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资金
- International Max Planck Research School for Science and Technology of Nanostructures in Halle, Germany
The analytical solution of the Poisson-Nernst-Planck equations is found in the linear regime as response to a dc-voltage. In deriving the results a new approach is suggested, which allows to fulfill all initial and boundary conditions and guarantees the absence of Faradaic processes explicitly. We obtain the spatiotemporal distribution of the electric field and the concentration of the charge carriers valid in the whole time interval and for an arbitrary initial concentration of ions. A different behavior in the short-and the long-time regime is observed. The crossover between these regimes is estimated. (C) 2011 American Institute of Physics. [doi:10.1063/1.3580288]
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