QUALITATIVE PROPERTIES OF STEADY-STATE POISSON-NERNST-PLANCK SYSTEMS - PERTURBATION AND SIMULATION STUDY

Poisson-Nernst-Planck (PNP) systems are considered in the case of vani shing permanent charge. A detailed case study, based on natural catego ries 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 carefull y analyzed by critical comparisons and contrasts between the simulatio n and the perturbation solution, which can be represented in closed fo rm.