Close to close packing

Oliver Penrose; George Stell

doi:10.1023/A:1018679309775

Close to close packing

Oliver Penrose, George Stell

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

1 Citation (Scopus)

Abstract

For various lattice gas models with nearest neighbor exclusion (and, in one case, second-nearest neighbor exclusion as well), we obtain lower bounds on m, the average number of particles on the nonexcluded lattice sites closest to a given particle. They are all of the form m/m_cp= 1 -const · (N_cp/N - 1), where N is the number of occupied sites, m_cp is the value of m at close packing, and N_cp is the value of N at close packing. An analogous result exists for hard disks in the plane.

Original language	English
Pages (from-to)	89-95
Number of pages	7
Journal	Journal of Statistical Physics
Volume	100
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1018679309775
Publication status	Published - 1 Jul 2000

Keywords

Close packing
Hard disks
Inequalities
Lattice models
Nearest neighbor exclusion

Access to Document

10.1023/A:1018679309775

Cite this

@article{413d7166f5f24a83898e6f45e986399f,

title = "Close to close packing",

abstract = "For various lattice gas models with nearest neighbor exclusion (and, in one case, second-nearest neighbor exclusion as well), we obtain lower bounds on m, the average number of particles on the nonexcluded lattice sites closest to a given particle. They are all of the form m/mcp= 1 -const · (Ncp/N - 1), where N is the number of occupied sites, mcp is the value of m at close packing, and Ncp is the value of N at close packing. An analogous result exists for hard disks in the plane.",

keywords = "Close packing, Hard disks, Inequalities, Lattice models, Nearest neighbor exclusion",

author = "Oliver Penrose and George Stell",

year = "2000",

month = jul,

day = "1",

doi = "10.1023/A:1018679309775",

language = "English",

volume = "100",

pages = "89--95",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "1-2",

}

TY - JOUR

T1 - Close to close packing

AU - Penrose, Oliver

AU - Stell, George

PY - 2000/7/1

Y1 - 2000/7/1

N2 - For various lattice gas models with nearest neighbor exclusion (and, in one case, second-nearest neighbor exclusion as well), we obtain lower bounds on m, the average number of particles on the nonexcluded lattice sites closest to a given particle. They are all of the form m/mcp= 1 -const · (Ncp/N - 1), where N is the number of occupied sites, mcp is the value of m at close packing, and Ncp is the value of N at close packing. An analogous result exists for hard disks in the plane.

AB - For various lattice gas models with nearest neighbor exclusion (and, in one case, second-nearest neighbor exclusion as well), we obtain lower bounds on m, the average number of particles on the nonexcluded lattice sites closest to a given particle. They are all of the form m/mcp= 1 -const · (Ncp/N - 1), where N is the number of occupied sites, mcp is the value of m at close packing, and Ncp is the value of N at close packing. An analogous result exists for hard disks in the plane.

KW - Close packing

KW - Hard disks

KW - Inequalities

KW - Lattice models

KW - Nearest neighbor exclusion

UR - https://www.scopus.com/pages/publications/0034342323

U2 - 10.1023/A:1018679309775

DO - 10.1023/A:1018679309775

M3 - Article

SN - 0022-4715

VL - 100

SP - 89

EP - 95

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Close to close packing

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this