Use of model solutions in random sequential adsorption on a lattice

Journal Article · Mon Sep 23 04:00:00 EDT 1991 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.67.1677· OSTI ID:5243422

Fan, Y; Percus, J K ^[1]

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1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York (USA)

We consider random sequential adsorption on a lattice. We use analytical results on the Bethe lattice and cactus as references to develop systematic perturbationlike expansions which are very rapidly convergent. The latter produces the jamming density of a square lattice with an accuracy within 10{sup {minus}5}. This expansion is based on both physical and mathematical considerations and is not restricted to random sequential adsorption.

• OSTI ID: 5243422
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 67:13; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADSORPTION
CALCULATION METHODS
FILMS
RANDOMNESS
SERIES EXPANSION
SORPTION
THIN FILMS