“…3 -5 In a simplified way, this kind of redistribution, caused by a gradient of the chemical potential across the surface and kinetically controlled by the varying dopant diffusivity, can be traced back to the spinodal decomposition, which is well known as a three-dimensional (3D) effect and explained in terms of an 'up-hill diffusion'. 6,7 Only a few examples of a '2D projection' of this effect, such as concentration patterns of electropositive adsorbates resulting from the up-hill diffusion in two-dimensional firstorder phase transitions under reaction-free conditions, are described in the literature. 8,9 A simple mathematical model, based on the phenomenological consideration of a strong affinity between potassium and oxygen and accounting for Ł Correspondence to: Y. Suchorski, Chemisches Institut, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany.…”