Entropy of jammed matter
Soft Condensed Matter
2014-09-15 v2 Disordered Systems and Neural Networks
Abstract
We investigate the nature of randomness in disordered packings of frictional spheres. We calculate the entropy of 3D packings through the force and volume ensemble of jammed matter, a mesoscopic ensemble and numerical simulations using volume fluctuation analysis and graph theoretical methods. Equations of state are obtained relating entropy, volume fraction and compactivity characterizing the different states of jammed matter. At the mesoscopic level the entropy vanishes at random close packing. The entropy of the jammed system reveals that the random loose packings are more disordered than random close packings, allowing for an unambiguous interpretation of both limits.
Keywords
Cite
@article{arxiv.0808.2190,
title = {Entropy of jammed matter},
author = {Christopher Briscoe and Chaoming Song and Ping Wang and Hernan A. Makse},
journal= {arXiv preprint arXiv:0808.2190},
year = {2014}
}
Comments
5 pages, 1 figure