Reaction efficiency of diffusion-controlled processes on finite, aperiodic planar arrays

Using the theory of finite Markov processes, we show quantitatively that diffusion-limited, reactive events on two finite planar arrays having an aperiodic lattice structure are kinetically advantaged relative to processes on platelets having a regular, hexagonal [63] structure. The possible relevance of the results obtained to catalytic processes on quasicrystals and zeolite ‘rafts’ is noted.