Lattice RSA and the Gaussian-mean spherical strategy

J. K. Percus

doi:10.1016/S0927-7757(99)00443-4

Lattice RSA and the Gaussian-mean spherical strategy

J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Random sequential adsorption on a lattice with next neighbor exclusion but nonuniform flux is mapped onto a class of non-repeating random walks. Several special cases are worked out in detail, and a number of reduction formulae derived for both coverage and occupation-occupation correlations. Representation of Bethe lattice 2-point correlations by a Gaussian model permits approximate reduction to a regular lattice to be carried out, and preliminary results are obtained.

Original language	English (US)
Pages (from-to)	345-361
Number of pages	17
Journal	Colloids and Surfaces A: Physicochemical and Engineering Aspects
Volume	165
Issue number	1-3
DOIs	https://doi.org/10.1016/S0927-7757(99)00443-4
State	Published - May 30 2000

Keywords

Bethe lattice
Gaussian model
Mean spherical model
Next neighbor exclusion
Non-uniform flux
Quantum field representation
Random sequential adsorption

ASJC Scopus subject areas

Surfaces and Interfaces
Physical and Theoretical Chemistry
Colloid and Surface Chemistry

Access to Document

10.1016/S0927-7757(99)00443-4

Cite this

@article{a3af99b1235c40eaad2fe9107a64f28f,

title = "Lattice RSA and the Gaussian-mean spherical strategy",

abstract = "Random sequential adsorption on a lattice with next neighbor exclusion but nonuniform flux is mapped onto a class of non-repeating random walks. Several special cases are worked out in detail, and a number of reduction formulae derived for both coverage and occupation-occupation correlations. Representation of Bethe lattice 2-point correlations by a Gaussian model permits approximate reduction to a regular lattice to be carried out, and preliminary results are obtained.",

keywords = "Bethe lattice, Gaussian model, Mean spherical model, Next neighbor exclusion, Non-uniform flux, Quantum field representation, Random sequential adsorption",

author = "Percus, {J. K.}",

note = "Funding Information: This work was supported in part by NSF Grant CHE-970 8562.",

year = "2000",

month = may,

day = "30",

doi = "10.1016/S0927-7757(99)00443-4",

language = "English (US)",

volume = "165",

pages = "345--361",

journal = "Colloids and Surfaces A: Physicochemical and Engineering Aspects",

issn = "0927-7757",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Lattice RSA and the Gaussian-mean spherical strategy

AU - Percus, J. K.

N1 - Funding Information: This work was supported in part by NSF Grant CHE-970 8562.

PY - 2000/5/30

Y1 - 2000/5/30

N2 - Random sequential adsorption on a lattice with next neighbor exclusion but nonuniform flux is mapped onto a class of non-repeating random walks. Several special cases are worked out in detail, and a number of reduction formulae derived for both coverage and occupation-occupation correlations. Representation of Bethe lattice 2-point correlations by a Gaussian model permits approximate reduction to a regular lattice to be carried out, and preliminary results are obtained.

AB - Random sequential adsorption on a lattice with next neighbor exclusion but nonuniform flux is mapped onto a class of non-repeating random walks. Several special cases are worked out in detail, and a number of reduction formulae derived for both coverage and occupation-occupation correlations. Representation of Bethe lattice 2-point correlations by a Gaussian model permits approximate reduction to a regular lattice to be carried out, and preliminary results are obtained.

KW - Bethe lattice

KW - Gaussian model

KW - Mean spherical model

KW - Next neighbor exclusion

KW - Non-uniform flux

KW - Quantum field representation

KW - Random sequential adsorption

UR - http://www.scopus.com/inward/record.url?scp=0033984770&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033984770&partnerID=8YFLogxK

U2 - 10.1016/S0927-7757(99)00443-4

DO - 10.1016/S0927-7757(99)00443-4

M3 - Article

AN - SCOPUS:0033984770

SN - 0927-7757

VL - 165

SP - 345

EP - 361

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

IS - 1-3

ER -

Lattice RSA and the Gaussian-mean spherical strategy

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this