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• W2066755263 startingPage "2795" @default.
• W2066755263 abstract "Models where pairs, triples, or larger (typically connected) sets of sites on a 2D lattice ‘‘fill’’ irreversibly (described here as dimer, trimer, ... filling or adsorption), either randomly or cooperatively, are required to describe many surface adsorption and reaction processes. Since filling is assumed to be irreversible and immobile (species are ‘‘frozen’’ once adsorbed), even the stationary, saturation state, which is nontrivial since the lattice cannot fill completely, is not in equilibrium. The kinetics and statistics of these processes are naturally described by recasting the master equations in hierarchic form for probabilities of subconfigurations of empty sites. These hierarchies are infinite for the infinite lattices considered here, but approximate solutions can be obtained by implementing truncation procedures. Those used here exploit a shielding property of suitable walls of empty sites peculiar to irreversible filling processes. Accurate results, including saturation coverage estimates, are presented for random filling of dimers, and trimers of different shapes, on various infinite 2D lattices, and for square tetramers on an infinite square lattice." @default.
• W2066755263 created "2016-06-24" @default.
• W2066755263 creator A5011278300 @default.
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• W2066755263 date "1985-03-15" @default.
• W2066755263 modified "2023-10-17" @default.
• W2066755263 title "Irreversible immobile random adsorption of dimers, trimers, ... on 2<i>D</i> lattices" @default.
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• W2066755263 doi "https://doi.org/10.1063/1.448279" @default.
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