Document Type
Article
Publication Date
4-2011
Department 1
Physics
Abstract
Fluctuations of the local volume fraction within granular materials have previously been observed to decrease as the system approaches jamming.We experimentally examine the role of boundary conditions and interparticle friction μ on this relationship for a dense granular material of bidisperse particles driven under either constant volume or constant pressure.Using a radicalVorono¨ı tessellation, we find the variance of the local volume fraction φ monotonically decreases as the system becomes more dense, independent of boundary condition and μ. We examine the universality and origins of this trend using experiments and the recent granocentric model, modified to draw particle locations from an arbitrary distribution P(s) of neighbor distances s. The mean and variance of the observed P(s) are described by a single length scale controlled by ¯φ. Through the granocentric model, we observe that diverse functional forms of P(s) all produce the trend of decreasing fluctuations, but only the experimentally observed P(s) provides quantitative agreement with the measured φ fluctuations. Thus, we find that both P(s) and P(φ) encode similar information about the ensemble of observed packings and are connected to each other by the local granocentric model.
Copyright Note
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
DOI
10.1103/PhysRevE.83.041301
Recommended Citation
Puckett, James G., Frederic Lechenault, Karen E. Daniels. "Local origins of volume fraction fluctuations in dense granular materials." Physical Review E 83, 041301 (April 2011).
Required Publisher's Statement
Original version is available from the publisher at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.041301