A Study Of Reaction-diffusion Problems For Domains Bounded By Periodic Source/sink Distributions On Planar Surfaces: An Application To Microelectrode Processes
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S.K. Lucas & H.A. Stone
Reaction-diffusion problems that are characterized by the presence of iso- lated sources along bounding surfaces of a liquid-filled container arise in typical electrochemical applications utilizing arrays of microelectrodes, in modelling corrosion of surfaces, and in models of catalysis. The mathemat- ical treatment of the associated mass transport problem is difficult due to the character of the resulting mixed boundary value problem, whereby reac- tion occurs at isolated sites on boundaries with the remainder of the surface treated as insulating. Here we examine the case of steady-state transport to periodic arrays of circular disc-shaped microelectrodes mounted flush in an infinite, insulating planar boundary.