Sk. Lucas et al., AN INTEGRAL-EQUATION SOLUTION FOR THE STEADY-STATE CURRENT AT A PERIODIC ARRAY OF SURFACE MICROELECTRODES, SIAM journal on applied mathematics, 57(6), 1997, pp. 1615-1638
An integral equation approach is developed for the problem of determin
ing the steady-state current to a periodic array of microelectrodes im
bedded in an otherwise insulating plane. The formulation accounts for
both surface electrode and bulk fluid reactions and evaluates Green's
functions for periodic systems using convergence acceleration techniqu
es. Numerical results are presented for disc-shaped microelectrodes at
the center of rectangular periodic cells for a large range of dimensi
onless surface and bulk reaction rates and periodic cell sizes.