scholarly journals Statistical mechanics of dry granular materials: Between fragile solid (jamming) and dry fluid (rheology)

2013 ◽  
Author(s):  
Nicolas Rivier ◽  
Jean-Yves Fortin
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Fluid Rheology

Statistical mechanics approach to the jamming transition in granular materials

2004 ◽  
Vol 344 (3-4) ◽  
pp. 431-439 ◽  
Author(s):  
A. Coniglio ◽  
A. de Candia ◽  
A. Fierro ◽  
M. Nicodemi ◽  
M. Tarzia
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Jamming Transition

Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system

2007 ◽  
Vol 366 (1865) ◽  
pp. 493-504 ◽  
Author(s):  
R.P Behringer ◽  
Karen E Daniels ◽  
Trushant S Majmudar ◽  
Matthias Sperl
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Granular Systems ◽  
Dimensional System ◽  
Two Dimensional ◽  
Conventional System ◽  
Dynamical Transition ◽  
Jamming Transition ◽  
System Experiment ◽  
Two Dimensional System

In this work, we first review some general properties of dense granular materials. We are particularly concerned with a statistical description of these materials, and it is in this light that we briefly describe results from four representative studies. These are: experiment 1: determining local force statistics, vector forces, force distributions and correlations for static granular systems; experiment 2: characterizing the jamming transition, for a static two-dimensional system; experiment 3: characterizing plastic failure in dense granular materials; and experiment 4: a dynamical transition where the material ‘freezes’ in the presence of apparent heating for a sheared and shaken system.

STATISTICAL MECHANICS OF STATIC GRANULAR PACKINGS UNDER GRAVITY

2009 ◽  
Vol 23 (28n29) ◽  
pp. 5345-5358
Author(s):  
MASSIMO PICA CIAMARRA ◽  
ANTONIO DE CANDIA ◽  
ANNALISA FIERRO ◽  
MARIO NICODEMI ◽  
ANTONIO CONIGLIO
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Theoretical Framework ◽  
Numerical Results ◽  
Current Understanding ◽  
Natural Phenomena ◽  
Stable States ◽  
Granular Packings ◽  
Theoretical Foundations

Despite the large use of granular materials in the industry, and the large number of natural phenomena where granular materials are involved, a comprehensive theoretical framework of their physics is still missing. An important perspective was proposed almost 20 years ago by S.Edwards, which suggested the possibility of a statistical mechanics description of granular materials at rest in their mechanically stable states. This article focuses on the theoretical foundations and current understanding of a statistical mechanics approach of granular materials under gravity. Experimental and numerical results discussing such an approach and clarifying its limit of validity are described as well.

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