Statistical Mechanics of Dry Granular Materials: Statics and Slow Dynamics

2016 ◽  
pp. 204-229
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Slow Dynamics

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.

SLOW DYNAMICS, AGING AND HISTORY-DEPENDENT EFFECTS IN THE PARKING-LOT MODEL

Fractals ◽  
2003 ◽  
Vol 11 (supp01) ◽  
pp. 185-196 ◽  
Author(s):  
P. VIOT ◽  
J. TALBOT ◽  
G. TARJUS
Keyword(s):  
Granular Materials ◽  
Correlation Functions ◽  
Time Response ◽  
Slow Dynamics ◽  
Aging Behavior ◽  
Fluctuation Dissipation ◽  
Fluctuation Dissipation Theorem ◽  
Parking Lot ◽  
Simulation Results

We review the properties of the Parking Lot Model and their connection with the phenomenology of vibrated granular materials. New simulation results concerning the out-of-equilibrium, aging behavior of the model are presented. We investigate in particular the relation between two-time response and correlation functions and the so-called violation of the fluctuation-dissipation theorem.

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