Abstract
We introduce an operator formalism for random sequential adsorption on lattices and in continuous space. This provides a convenient framework for deriving series expansions for the deposition rate dθ/dt in powers of t. Several specific examples - the square lattice with nearest-neighbor exclusion, and with exclusion extended to next-nearest neighbors, and disks and oriented squares on the plane-are considered in detail. Precise estimates for θ(t) and the jamming coverage are obtained via Padé approximant analysis. These are found to be in excellent agreement with simulation results. A diagrammatic expansion for dθ/dt is derived, and its relation to the equilibrium Mayer series is elucidated.
Original language | English |
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Pages (from-to) | 8252-8257 |
Number of pages | 6 |
Journal | The Journal of Chemical Physics |
Volume | 94 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1 Jun 1991 |
Externally published | Yes |