Date of Degree


Document Type


Degree Name





Mark D. Shattuck


Corey S. O'Hern

Subject Categories



Delaunay Triangles, Granular, Information Theory, jammed, packings, vibrations


We use simulations of soft bidisperse disks to determine the properties of jammed packings and investigate the statistical mechanics of these systems. We have created a novel method for the classification of structural subunits of a packing and to calculate relevant physical quantities. The classification scheme is based on a 20 type decomposition of the Delaunay triangles extracted from the centers of the particles. Subunit frequencies are determined from geometrical properties and used to calculate the important macroscopic system quantities co-ordination number, packing fraction, and pressure. These relationships suggest that microscopic particle geometry plays an important role in observed macroscopic behavior. In addition, we investigate the contact network evolution during elastic perturbation. We predict the fraction of time a contact will be broken from the the inter-particle potential before perturbation. We explore the energy regions, below particle rearrangement, where our prediction is valid and discuss a physical mechanism for this behavior based on the exchange of potential and kinetic energy between particles.

Included in

Physics Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.