Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. II. Transition from dense random packing

被引:16
作者
Bargiel, M
Tory, EM
机构
[1] Akad Gorniczo Hutnicza, Katedra Informat, PL-30059 Krakow, Poland
[2] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
关键词
random close packing (r.c.p.); global measures of disorder; local measures of disorder; packing density; phase transition in r.c.p;
D O I
10.1163/15685520152756660
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Close packings of equal spheres with densities, phi, from 0.65 to 0.7405 were obtained from perturbed hexagonal close packing (h.c.p.) using the force-biased algorithm (FBA). Similarly, densities from 0.65 to 0.72 were obtained from face-centered cubic (f.c.c.) packing, completing our earlier study (0.70-0.7405). The disorder of these packings was measured using several transportation metrics, mu, and the average local angular disorder, theta. For slight or moderate perturbations of either lattice, both mu and theta were approximately constant for almost the whole range of phi, but order was re-established much more easily from slightly perturbed h.c.p. Densities from 0.62 to 0.71 were obtained from sets of random points. The disorder, theta, for these packings decreased steadily with phi. The transition from random to ordered packing is frustrated by the occurrence of both f.c.c. and (preferentially) h.c.p. fragments and by the varied orientation of these fragments. Transportation metrics have limited utility as measures of disorder, but theta is versatile and useful.
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页码:533 / 557
页数:25
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