The formation of domains and defects is a part of every
self-organized
structure without prepatterning which evolves from the electrochemical
oxidation of valve metals like Ti, Al or Ta. Defects and domains,
especially in highly ordered porous alumina films (PAOX), are one
of the most studied phenomena in the current literature. The focus
is on understanding their formation in order to find parameters to
minimize their amount for applications that require the most highly
organized structures. In this letter we give a solution to this problem
by showing that the occurrence of defects and domains is an unavoidable
consequence of the underlying self-organized process due to the simultaneous
impact of the minimum (MINEP) and maximum (MAXEP) entropy production
principle. As a consequence, experimental procedures to manufacture
defect-free PAOX-films from a self-organization process face a fundamental
limitation.