Asymptotic coverage in random sequential adsorption on a lattice

Y. Fan, Jerome Percus

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)5099-5103
Number of pages5
JournalPhysical Review A
Volume44
Issue number8
DOIs
StatePublished - 1991

Fingerprint

adsorption
series expansion
triangles

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Asymptotic coverage in random sequential adsorption on a lattice. / Fan, Y.; Percus, Jerome.

In: Physical Review A, Vol. 44, No. 8, 1991, p. 5099-5103.

Research output: Contribution to journalArticle

Fan, Y. ; Percus, Jerome. / Asymptotic coverage in random sequential adsorption on a lattice. In: Physical Review A. 1991 ; Vol. 44, No. 8. pp. 5099-5103.
@article{86af1d6031a34c19b1697a80dfdcb184,
title = "Asymptotic coverage in random sequential adsorption on a lattice",
abstract = "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.",
author = "Y. Fan and Jerome Percus",
year = "1991",
doi = "10.1103/PhysRevA.44.5099",
language = "English (US)",
volume = "44",
pages = "5099--5103",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "8",

}

TY - JOUR

T1 - Asymptotic coverage in random sequential adsorption on a lattice

AU - Fan, Y.

AU - Percus, Jerome

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0342290818&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0342290818&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.44.5099

DO - 10.1103/PhysRevA.44.5099

M3 - Article

VL - 44

SP - 5099

EP - 5103

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 8

ER -