Structural Evolution of Granular Systems: Theory
Abstract
A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very dense systems; and the general approach to steady state. We find that all the steady states are stable and that they satisfy detailed balance-like condition when the CO. Illustrative numerical solutions of the evolution are shown. Our theoretical results are validated against an extensive simulation of a sheared system. The formalism can be readily extended to other structural characteristics, paving the way to a general theory of structural organisation of granular systems.
Cite
@article{arxiv.1904.06549,
title = {Structural Evolution of Granular Systems: Theory},
author = {Clara C. Wanjura and Paula Gago and Takashi Matsushima and Raphael Blumenfeld},
journal= {arXiv preprint arXiv:1904.06549},
year = {2019}
}
Comments
main text: 5 pages, 5 figures; supplementary material: 4 pages, 4 figures