Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study

@article{Chen1997QualitativePO,
  title={Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study},
  author={D. P. Chen and Joseph W. Jerome and Robert S. Eisenberg and Victor Barcilon},
  journal={SIAM Journal of Applied Mathematics},
  year={1997},
  volume={57},
  pages={631-648}
}
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… CONTINUE READING