Density inhomogeneity of a quasi two-dimensional granular gas in a vibrating box
T. Wang, and K. To. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We studied the behavior of a collection of balls bouncing inelastically in a vertically vibrating thin box with height several time the ball diameter. By treating the collection of the balls as a quasi two-dimensional granular gas in the horizontal plane, we measured the ball density (defined as the number of ball per unit area) as a function of the total number of ball $N$ in the box. When the vertical height of the box is different at different regions, the ball density will be different in these regions. We found that the density ratio $\alpha$ between the ball density in a thin region of smaller vertical height to that in a thick region of larger vertical height was less than one at small $N$. As $N$ increased, $\alpha$ went through a maximum value that was larger than one
and then approached one at large $N$. Such behavior was successfully reproduced in molecular dynamic simulations and possible explanation of the observed $\alpha(N)$ was proposed.
%0 Book Section
%1 statphys23_0414
%A Wang, T.
%A To, K.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K density gas granular inhomogeneity statphys23 topic-7 two-dimensional
%T Density inhomogeneity of a quasi two-dimensional granular gas in a vibrating box
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=414
%X We studied the behavior of a collection of balls bouncing inelastically in a vertically vibrating thin box with height several time the ball diameter. By treating the collection of the balls as a quasi two-dimensional granular gas in the horizontal plane, we measured the ball density (defined as the number of ball per unit area) as a function of the total number of ball $N$ in the box. When the vertical height of the box is different at different regions, the ball density will be different in these regions. We found that the density ratio $\alpha$ between the ball density in a thin region of smaller vertical height to that in a thick region of larger vertical height was less than one at small $N$. As $N$ increased, $\alpha$ went through a maximum value that was larger than one
and then approached one at large $N$. Such behavior was successfully reproduced in molecular dynamic simulations and possible explanation of the observed $\alpha(N)$ was proposed.
@incollection{statphys23_0414,
abstract = {We studied the behavior of a collection of balls bouncing inelastically in a vertically vibrating thin box with height several time the ball diameter. By treating the collection of the balls as a quasi two-dimensional granular gas in the horizontal plane, we measured the ball density (defined as the number of ball per unit area) as a function of the total number of ball $N$ in the box. When the vertical height of the box is different at different regions, the ball density will be different in these regions. We found that the density ratio $\alpha$ between the ball density in a thin region of smaller vertical height to that in a thick region of larger vertical height was less than one at small $N$. As $N$ increased, $\alpha$ went through a maximum value that was larger than one
and then approached one at large $N$. Such behavior was successfully reproduced in molecular dynamic simulations and possible explanation of the observed $\alpha(N)$ was proposed.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Wang, T. and To, K.},
biburl = {https://www.bibsonomy.org/bibtex/2d8275af5fbea33bb446af1fa1ef78bc0/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {d47c8862dd6394e47158b6566671a6c4},
intrahash = {d8275af5fbea33bb446af1fa1ef78bc0},
keywords = {density gas granular inhomogeneity statphys23 topic-7 two-dimensional},
month = {9-13 July},
timestamp = {2007-06-20T10:16:19.000+0200},
title = {Density inhomogeneity of a quasi two-dimensional granular gas in a vibrating box},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=414},
year = 2007
}