Towards minimal models for realistic granular materials: Tomographic analysis of bidispersed assemblies of ellipsoids

Schaller, Fabian M.; Punzmann, Horst; Schröder‐Turk, Gerd E.; Saadatfar, Mohammad

doi:10.1051/epjconf/201714006030

Cited by 2 publications

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then it is followed by a plateau regime as the iteration step reaches 10 4 , where a system is developed into a hyperuniform configuration. The MSD regime of our systems can be found analogous to relaxation dynamics in glassy systems, fitted by a stretched exponential law, also known as Kohlrausch-Williams-Watts (KWW) law [15][16][17]:…”

Section: Dynamical Arrest In Lloyd Algorithmmentioning

confidence: 93%

Dynamical arrest of topological defects in 2D hyperuniform disk packings

et al. 2021

Self Cite

View full text Add to dashboard Cite

We investigate collective motions of points in 2D systems, orchestrated by Lloyd algorithm. The algorithm iteratively updates a system by minimising the total quantizer energy of the Voronoi landscape of the system. As a result of a tradeoff between energy minimisation and geometric frustration, we find that optimised systems exhibit a defective landscape along the process, where strands of 5- and 7-coordinated dislocations are embedded in the hexatic phase. In particular, dipole defects, each of which is the simplest possible pair of a pentagon and a heptagon, come into the picture of dynamical arrest, as the system freezes down to a disordered hyperuniform state. Moreover, we explore the packing fractions of 2D disk packings associated to the obtained hyperuniform systems by considering the maximum inscribed disks in their Voronoi cells.

show abstract

Section: Dynamical Arrest In Lloyd Algorithmmentioning

confidence: 93%