Two typical structure patterns in jammed monodisperse disk packings at high densities

Ye Yuan, Weiwei Jin, Lufeng Liu and Shuixiang Li

Physica A: Statistical Mechanics and its Applications, 2016, vol. 461, issue C, 747-755

Abstract: We generate a large number of monodisperse disk packings in two dimensions via geometric-based packing algorithms including the relaxation algorithm and the Torquato–Jiao algorithm. Using the geometric-structure approach, a clear boundary of the geometrical feasible region in the order map is found which quite differs from that of the jammed region. For a certain packing density higher than 0.83, the crystalline degree varies in different packing samples. We find that the local hexatic order may increase in two fairly different ways as the system densifies. Therefore, two typical non-equilibrium jammed patterns, termed polycrystal and distorted crystal, are defined at high packing densities. Furthermore, their responses to isotropic compression are investigated using a compression–relaxation molecular dynamic protocol. The distorted crystal pattern is more stable than the polycrystal one with smaller displacements despite its low occurrence frequency. The results are helpful in understanding the structure and phase transition of disk packings.

Keywords: Monodisperse disk packing; Order map; Structure patterns; Isotropic compression (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:461:y:2016:i:c:p:747-755

DOI: 10.1016/j.physa.2016.06.037

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