Asymptotic coverage in random sequential adsorption on a lattice

Journal Article · Tue Oct 15 04:00:00 EDT 1991 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.44.5099· OSTI ID:5242832

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)

Series expansions for the time-dependent coverage in random sequential adsorption on a lattice are reviewed. A transformation is carried out, resulting in combinatorial expressions in which only nonrepeating lattice walks are required. Convergence is greatly accelerated, and application is made to the asymptotic coverage of previously solved lattices as well as Bethe lattices and cactuses, or Bethe lattices with the bonds replaced by triangles. The method is extended to multisite correlations as well.

• OSTI ID: 5242832
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 44:8; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADSORPTION
ANNIHILATION OPERATORS
ASYMPTOTIC SOLUTIONS
CONVERGENCE
CORRELATIONS
CREATION OPERATORS
DISTRIBUTION FUNCTIONS
FUNCTIONS
LATTICE PARAMETERS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SERIES EXPANSION
SORPTION