Fundamental problems in statistical physics of jammed packings

S. F. Edwards; D. V. Grinev; J. Brujić

doi:10.1016/j.physa.2003.08.006

Fundamental problems in statistical physics of jammed packings

S. F. Edwards, D. V. Grinev, J. Brujić

Research output: Contribution to journal › Conference article › peer-review

Abstract

For packed i.e., "jammed", hard and rough objects kinetic energy is a minor and ignorable quantity, as is elastic strain. Hence in the static case, the stress equations need supplementing by "missing equations" depending solely on configurations. A different pathway of analysis is the calculation of the probability distribution of interparticle forces. This paper presents the mini-review of recently obtained results in this field and poses a number of fundamental problems which are yet to be solved.

Original language	English (US)
Pages (from-to)	61-76
Number of pages	16
Journal	Physica A: Statistical Mechanics and its Applications
Volume	330
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physa.2003.08.006
State	Published - Dec 1 2003
Event	Randomes and Complexity - Eilat, Israel Duration: Jan 5 2003 → Jan 9 2003

Keywords

Contact forces distribution
Emulsions
Fabric tensor
Powders
Random packings
Slow dynamics
Stress transmission
Volume function

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2003.08.006

Cite this

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title = "Fundamental problems in statistical physics of jammed packings",

abstract = "For packed i.e., {"}jammed{"}, hard and rough objects kinetic energy is a minor and ignorable quantity, as is elastic strain. Hence in the static case, the stress equations need supplementing by {"}missing equations{"} depending solely on configurations. A different pathway of analysis is the calculation of the probability distribution of interparticle forces. This paper presents the mini-review of recently obtained results in this field and poses a number of fundamental problems which are yet to be solved.",

keywords = "Contact forces distribution, Emulsions, Fabric tensor, Powders, Random packings, Slow dynamics, Stress transmission, Volume function",

author = "Edwards, {S. F.} and Grinev, {D. V.} and J. Bruji{\'c}",

note = "Funding Information: The authors have benefited from discussions with Prof. R. C. Ball, Dr. R. Blumenfeld, Dr. I. Hopkinson, Prof. D. Levine and Dr. H. Makse. D.V.G. acknowledges the Oppenheimer Fellowship from Sir Ernest Oppenheimer Fund and a Junior Research Fellowship from Wolfson College (Cambridge).; Randomes and Complexity ; Conference date: 05-01-2003 Through 09-01-2003",

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doi = "10.1016/j.physa.2003.08.006",

language = "English (US)",

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T1 - Fundamental problems in statistical physics of jammed packings

AU - Edwards, S. F.

AU - Grinev, D. V.

AU - Brujić, J.

N1 - Funding Information: The authors have benefited from discussions with Prof. R. C. Ball, Dr. R. Blumenfeld, Dr. I. Hopkinson, Prof. D. Levine and Dr. H. Makse. D.V.G. acknowledges the Oppenheimer Fellowship from Sir Ernest Oppenheimer Fund and a Junior Research Fellowship from Wolfson College (Cambridge).

PY - 2003/12/1

Y1 - 2003/12/1

N2 - For packed i.e., "jammed", hard and rough objects kinetic energy is a minor and ignorable quantity, as is elastic strain. Hence in the static case, the stress equations need supplementing by "missing equations" depending solely on configurations. A different pathway of analysis is the calculation of the probability distribution of interparticle forces. This paper presents the mini-review of recently obtained results in this field and poses a number of fundamental problems which are yet to be solved.

AB - For packed i.e., "jammed", hard and rough objects kinetic energy is a minor and ignorable quantity, as is elastic strain. Hence in the static case, the stress equations need supplementing by "missing equations" depending solely on configurations. A different pathway of analysis is the calculation of the probability distribution of interparticle forces. This paper presents the mini-review of recently obtained results in this field and poses a number of fundamental problems which are yet to be solved.

KW - Contact forces distribution

KW - Emulsions

KW - Fabric tensor

KW - Powders

KW - Random packings

KW - Slow dynamics

KW - Stress transmission

KW - Volume function

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U2 - 10.1016/j.physa.2003.08.006

DO - 10.1016/j.physa.2003.08.006

M3 - Conference article

AN - SCOPUS:0345412057

SN - 0378-4371

VL - 330

SP - 61

EP - 76

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

T2 - Randomes and Complexity

Y2 - 5 January 2003 through 9 January 2003

ER -

Fundamental problems in statistical physics of jammed packings

Abstract

Keywords

ASJC Scopus subject areas

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