Gj. Rodgers et Jan. Filipe, EXACT RESULTS FOR SURFACE DEPOSITION WITH PRECURSOR LAYER DIFFUSION, Journal of physics. A, mathematical and general, 30(10), 1997, pp. 3449-3461
An accelerated random sequential adsorption process is studied as a mo
del of chemisorption on a line with precursor layer diffusion. In this
process if the position first selected for deposition is occupied the
n the particle diffuses and is absorbed on the first vacant position i
t visits. For k-mer deposition exact results are obtained for the gap
distribution function. Physically measurable quantities such as the av
erage island size and the probabilities of island nucleation, growth a
nd coagulation are calculated as a function of coverage and the satura
tion coverage is calculated as a function of k. The continuum version
of this model is also considered and potential applications of the mod
els are discussed.