Gaussian Fields and Random Packing

Yu Baryshnikov, J. E. Yukich

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Consider sequential packing of unit volume balls in a large cube, in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermo-dynamic limit. The results cover related applied models, including ballistic deposition and spatial birth-growth models.

Original languageEnglish
Pages (from-to)443-463
Number of pages21
JournalJournal of Statistical Physics
Volume111
Issue number1-2
DOIs
Publication statusPublished - Apr 1 2003
Externally publishedYes

Fingerprint

Gaussian Fields
Packing
balls
Ball
Unit of volume
Rescaling
Ballistics
Thermodynamic Limit
Growth Model
Spatial Distribution
ballistics
Regular hexahedron
Siméon Denis Poisson
spatial distribution
Cover
Tend
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Gaussian Fields and Random Packing. / Baryshnikov, Yu; Yukich, J. E.

In: Journal of Statistical Physics, Vol. 111, No. 1-2, 01.04.2003, p. 443-463.

Research output: Contribution to journalArticle

Baryshnikov, Y & Yukich, JE 2003, 'Gaussian Fields and Random Packing', Journal of Statistical Physics, vol. 111, no. 1-2, pp. 443-463. https://doi.org/10.1023/A:1022229713275
Baryshnikov, Yu ; Yukich, J. E. / Gaussian Fields and Random Packing. In: Journal of Statistical Physics. 2003 ; Vol. 111, No. 1-2. pp. 443-463.
@article{da0eda94a8054cef93c96658d96c2b93,
title = "Gaussian Fields and Random Packing",
abstract = "Consider sequential packing of unit volume balls in a large cube, in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermo-dynamic limit. The results cover related applied models, including ballistic deposition and spatial birth-growth models.",
author = "Yu Baryshnikov and Yukich, {J. E.}",
year = "2003",
month = "4",
day = "1",
doi = "10.1023/A:1022229713275",
language = "English",
volume = "111",
pages = "443--463",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "1-2",

}

TY - JOUR

T1 - Gaussian Fields and Random Packing

AU - Baryshnikov, Yu

AU - Yukich, J. E.

PY - 2003/4/1

Y1 - 2003/4/1

N2 - Consider sequential packing of unit volume balls in a large cube, in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermo-dynamic limit. The results cover related applied models, including ballistic deposition and spatial birth-growth models.

AB - Consider sequential packing of unit volume balls in a large cube, in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermo-dynamic limit. The results cover related applied models, including ballistic deposition and spatial birth-growth models.

UR - http://www.scopus.com/inward/record.url?scp=0037279607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037279607&partnerID=8YFLogxK

U2 - 10.1023/A:1022229713275

DO - 10.1023/A:1022229713275

M3 - Article

AN - SCOPUS:0037279607

VL - 111

SP - 443

EP - 463

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -