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# Ion dynamics near charged electrodes with excluded volume effect

## By: Young, A.M.; Riddle, B.; Baker-Jarvis, J.;

1999 / IEEE

### Description

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.

**Related Topics**

Poisson Equation

Boltzmann Equation

Electrostatics

Sine-gordon Equation

Capacitance

Surface Charging

Ion Mobility

Surface Charge

Ion Dynamics

Charged Electrodes

Excluded Volume Effect

Ion Relaxation

Finite Ion Volume

Time-dependent Equations

Ion Behaviour

Steric Hindrance

Nonequilibrium Effects

Time-dependent Wave Equations

Lorentz Gauge

Quasi-steady State Solution

Sinh-gordon Equation

Nonlinear Time-dependent Equation

Klein-gordon Equation

Capacitance

Electrodes

Poisson Equations

Differential Equations

Integral Equations

Electrostatics

Capacitance

Current Density

Partial Differential Equations

Nonlinear Equations

Radio Frequency

Electrochemical Electrodes

Engineered Materials, Dielectrics And Plasmas

Fields, Waves And Electromagnetics

Engineering

Electrostatic Equations