Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

In this paper we propose a computational framework for the investigation of correlated motion between positive and negative ions exposed to attraction bubble surface that mimics (oscillating) cell membrane. The diffusion surfactants is described by Poisson-Nernst-Planck (PNP) system, in which drift term given gradient potential includes both effect Coulomb interaction carriers. latter obtained from solution self-consistent Poisson equation. For very short Debye lengths one can adopt so called Quasi-Neutral limit drastically simplifies thus allowing much faster numerical simulations. has four main objectives. first present PNP model describes ion charges presence trap. second provide benchmark tests validation simplified multiscale models under current development [1]. third explore relevance describing among apolar tails anions. last quantitatively validity comparison with detailed simulation smaller lengths. order reach these goals, simple efficient Alternate Direction Implicit method non-linear guarantees accuracy space time, without requiring nonlinear equation at each time step. New semi-implicit scheme system near quasi neutrality also proposed.