scholarly journals Statistical mechanical description of the parking-lot model for vibrated granular materials

2004 ◽  
Vol 69 (1) ◽  
Author(s):  
G. Tarjus ◽  
P. Viot
Keyword(s):  
Granular Materials ◽  
Mechanical Description ◽  
Parking Lot ◽  
Statistical Mechanical

Inviscid quasi-geostrophic flow over topography: testing statistical mechanical theory

1996 ◽  
Vol 309 ◽  
pp. 85-91 ◽  
Author(s):  
William J. Merryfield ◽  
Greg Holloway
Keyword(s):  
Numerical Simulations ◽  
Large Range ◽  
Initial Conditions ◽  
Steady Flows ◽  
Mechanical Theory ◽  
Geostrophic Flow ◽  
Mechanical Description ◽  
Flow Over Topography ◽  
Statistical Mechanical ◽  
Parameter Values

Numerical simulations are employed in a detailed test of the statistical mechanical description of topographic turbulence. Predictions of steady flows correlated with topography are given particular attention. Agreement between numerical and statistical mechanical results is demonstrated for a large range of parameter values, and over an ensemble of random choices of topography and initial conditions.

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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