Random sequential adsorption: Series and virial expansions

Ronald Dickman, Jian Sheng Wang, Iwan Jensen

Research output: Contribution to journalArticle

98 Citations (Scopus)

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 languageEnglish
Pages (from-to)8252-8257
Number of pages6
JournalThe Journal of Chemical Physics
Volume94
Issue number12
DOIs
Publication statusPublished - 1 Jun 1991
Externally publishedYes

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