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arXiv · 1904.06549

Structural Evolution of Granular Systems: Theory

Clara C. Wanjura·Paula Gago·Takashi Matsushima·Raphael Blumenfeld
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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$\,\leq 6$. 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.

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Clara C. Wanjura, Paula Gago, Takashi Matsushima, Raphael Blumenfeld. 2019-04-13. Structural Evolution of Granular Systems: Theory. https://arxiv.org/abs/1904.06549

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