Singular perturbation solutions of steady-state Poisson-Nernst-Planck systems.

@article{Wang2014SingularPS,
  title={Singular perturbation solutions of steady-state Poisson-Nernst-Planck systems.},
  author={Xiang-Sheng Wang and Dongdong He and Jonathan J. Wylie and Huaxiong Huang},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={89 2},
  pages={022722}
}
We study the Poisson-Nernst-Planck (PNP) system with an arbitrary number of ion species with arbitrary valences in the absence of fixed charges. Assuming point charges and that the Debye length is small relative to the domain size, we derive an asymptotic formula for the steady-state solution by matching outer and boundary layer solutions. The case of two ionic species has been extensively studied, the uniqueness of the solution has been proved, and an explicit expression for the solution has… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
10 Citations
35 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 10 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 35 references

Equ

  • W. Liu, J. Differ
  • 246, 428
  • 2009
Highly Influential
7 Excerpts

54

  • G. Wei, Q. Zheng, Z. Chen, K. Xia, SIAM Rev
  • 699
  • 2012
2 Excerpts

697

  • S. Ghosal, Z. Chen, J. Fluid Mech
  • 436
  • 2012
3 Excerpts

Biochim

  • E. Csanyi, D. Boda, D. Gillespie, T. Kristof
  • Biophys. Acta 1818, 592
  • 2012
2 Excerpts

Chem

  • T.-L. Horng, T.-C. Lin, C. Liu, B. Eisenberg, J. Phys
  • B 116, 11422
  • 2012

Theor

  • D. Boda, D. Gillespie, J. Chem
  • Comput. 8, 824
  • 2012
2 Excerpts

Mater

  • Y. Hosokawa, K. Yamada, B. Johannesson, L.-O. Nilsson
  • Struct. 44, 1577
  • 2011
2 Excerpts

Physica D 240

  • Y. Mori, C. Liu, R. S. Eisenberg
  • 1835
  • 2011
2 Excerpts

Bull

  • S. Ghosal, Z. Chen
  • Math. Biol. 72, 2047
  • 2010
3 Excerpts

Discrete Cont

  • Y. Hyon, D. Y. Kwak, C. Liu
  • Dyn. Syst. Ser. A 26, 1291
  • 2010
3 Excerpts

Similar Papers

Loading similar papers…