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Ion dynamics near charged electrodes with excluded volume effect
1999 / IEEE
This item was taken from the IEEE Periodical ' Ion dynamics near charged electrodes with excluded volume effect ' The goal of this paper is to analyze ion relaxation around a charged electrode taking into account finite ion volume and frequency. Time-dependent and electrostatic equations for ion behaviour near an electrode are developed and include the effects of nonequilibrium and steric hindrance. Time-dependent wave equations for the potentials are developed in the Lorentz gauge. The charge density is expressed as a sum of the quasi-steady state solution plus a nonequilibrium term. For slowly changing potentials the ions are in quasi-equilibrium and we show that in this limit the potential satisfies the sinh-Gordon equation. New solutions to this nonlinear time-dependent equation are developed. In the low voltage limit the equation reduces to the Klein-Gordon equation, time-dependent analog of the Debye-Huckel equation. We also present equations for capacitance and surface charge.
Excluded Volume Effect
Finite Ion Volume
Time-dependent Wave Equations
Quasi-steady State Solution
Nonlinear Time-dependent Equation
Partial Differential Equations
Engineered Materials, Dielectrics And Plasmas
Fields, Waves And Electromagnetics