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Journals
Journal of Electrical Bioimpedance
Volume 3 (2012): Issue 1 (January 2012)
Open Access
The current-voltage relation of a pore and its asymptotic behavior in a Nernst-Planck model
Nicolae Marius Bîrlea
Nicolae Marius Bîrlea
and
Sînziana Iulia Bîrlea
Sînziana Iulia Bîrlea
| Aug 31, 2012
Journal of Electrical Bioimpedance
Volume 3 (2012): Issue 1 (January 2012)
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Article Category:
Articles
Published Online:
Aug 31, 2012
Page range:
36 - 41
Received:
Mar 10, 2012
DOI:
https://doi.org/10.5617/jeb.296
Keywords
pore
,
current-voltage
,
asymmetry
,
nonlinearity
,
skin
,
membrane
,
Nernst-Planck model
© 2012 Nicolae Marius Bîrlea, Sînziana Iulia Bîrlea, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Fig. 1
Schematic representations of the three assumed profiles for the ion potential energy inside a pore: asymmetric triangular (black line); symmetric triangular (blue line); and trapezoidal (broken red line).
Fig. 2
A linear current density versus voltage plot of the three energy profiles (asymmetric triangular profile, j1, symmetric triangular profile, j2, trapezoidal profile, j3) and bulk current density (j0) for an energy barrier height of w = 2.15 (in kT units), a relative size of the entrance region of the pore of r = 0.3, and voltage, u, in kT/q units. The linear behavior at high voltages is clearly visible for the chosen voltage values.
Fig. 3
The double logarithmic current density versus voltage plot of the three energy profiles (asymmetric triangular profile, j1, symmetric triangular profile, j2, trapezoidal profile, j3) and bulk current density (j0) for an energy barrier height of w=2.15 (in kT units), a relative size of the entrance region of the pore of r=0.3, and voltage u>0 (kT/q units). This plot mainly shows the linear behavior of the current densities at small voltages.