Understanding complex matter from simple packing models

T. Aste; G. Delaney; T. Di Matteo

doi:10.1117/12.759030

Understanding complex matter from simple packing models

T. Aste^*, G. Delaney, T. Di Matteo

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

By pouring equal balls into a container one obtains disordered packings with fascinating properties which might shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the spheres respect to the total volume, ρ) below the Random Loose Packing limit (RLP, ρ - 0.555) or above the Random Close Packing limit (RCP, ρ - 0.645) unless order is externally induced. What is happening at these two limits is an open unanswered question. In this paper we address this question by combining statistical geometry and statistical mechanics methods. Evidences of phase transitions occurring at the RLP and RCP limits are reported.

Original language	English
Title of host publication	Complex Systems II
DOIs	https://doi.org/10.1117/12.759030
Publication status	Published - 2008
Event	Complex Systems II - Canberra, Australia Duration: 5 Dec 2007 → 7 Dec 2007

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	6802
ISSN (Print)	0277-786X

Conference

Conference	Complex Systems II
Country/Territory	Australia
City	Canberra
Period	5/12/07 → 7/12/07

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10.1117/12.759030

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title = "Understanding complex matter from simple packing models",

abstract = "By pouring equal balls into a container one obtains disordered packings with fascinating properties which might shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the spheres respect to the total volume, ρ) below the Random Loose Packing limit (RLP, ρ - 0.555) or above the Random Close Packing limit (RCP, ρ - 0.645) unless order is externally induced. What is happening at these two limits is an open unanswered question. In this paper we address this question by combining statistical geometry and statistical mechanics methods. Evidences of phase transitions occurring at the RLP and RCP limits are reported.",

author = "T. Aste and G. Delaney and {Di Matteo}, T.",

year = "2008",

doi = "10.1117/12.759030",

language = "English",

isbn = "9780819469731",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

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AU - Aste, T.

AU - Delaney, G.

AU - Di Matteo, T.

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N2 - By pouring equal balls into a container one obtains disordered packings with fascinating properties which might shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the spheres respect to the total volume, ρ) below the Random Loose Packing limit (RLP, ρ - 0.555) or above the Random Close Packing limit (RCP, ρ - 0.645) unless order is externally induced. What is happening at these two limits is an open unanswered question. In this paper we address this question by combining statistical geometry and statistical mechanics methods. Evidences of phase transitions occurring at the RLP and RCP limits are reported.

AB - By pouring equal balls into a container one obtains disordered packings with fascinating properties which might shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the spheres respect to the total volume, ρ) below the Random Loose Packing limit (RLP, ρ - 0.555) or above the Random Close Packing limit (RCP, ρ - 0.645) unless order is externally induced. What is happening at these two limits is an open unanswered question. In this paper we address this question by combining statistical geometry and statistical mechanics methods. Evidences of phase transitions occurring at the RLP and RCP limits are reported.

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U2 - 10.1117/12.759030

DO - 10.1117/12.759030

M3 - Conference contribution

SN - 9780819469731

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Complex Systems II

T2 - Complex Systems II

Y2 - 5 December 2007 through 7 December 2007

ER -

Understanding complex matter from simple packing models

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