Ikeda HGraduate School of Arts and Sciences, The University of Tokyo Tokyo 153-8902, Japan.
Brito CInstituto de Física, UFRGS, 91501-970, Porto Alegre, Brazil.
Wyart MInstitute of Physics, EPFL, CH-1015 Lausanne, Switzerland.
Zamponi FLaboratoire de Physique de l'École Normale Supérieure, Université PSL, CNRS, Sorbonne Université, Université de Paris, 75005 Paris, France.
2020-06-06
Published in:
Physical review letters. - 2020
English
We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition point both increase upon increasing asphericity, as for ellipsoids and spherocylinders. Conversely, for a rough surface, both quantities decrease, in quantitative agreement with the behavior of frictional particles. Furthermore, in the limit corresponding to the Coulomb friction law, the model satisfies a generalized isostaticity criterion proposed in previous studies. We introduce a counting argument that justifies this criterion and interprets it geometrically. Finally, we propose a simple theory to predict the contact number at finite friction from the knowledge of the force distribution in the infinite friction limit.