Mechanical Characterization of Partially Crystallized Sphere Packings
نویسندگان
چکیده
منابع مشابه
Geometrical frustration in amorphous and partially crystallized packings of spheres.
We study the persistence of a geometrically frustrated local order inside partially crystallized packings of equal-sized spheres. Measurements by x-ray tomography reveal previously unseen grain scale rearrangements occurring inside large three-dimensional packings as they crystallize. Three successive structural transitions are detected by a statistical description of the local volume fluctuati...
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This paper is a continuation of the first two parts of this series ([I],[II]). It relies on the formulation of the Kepler conjecture in [F]. The terminology and notation of this paper are consistent with these earlier papers, and we refer to results from them by prefixing the relevant section numbers with I, II, or F. Around each vertex is a modification of the Voronoi cell, called the V -cell ...
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We characterize the structure of maximally random jammed (MRJ) sphere packings by computing the Minkowski functionals (volume, surface area, and integrated mean curvature) of their associated Voronoi cells. The probability distribution functions of these functionals of Voronoi cells in MRJ sphere packings are qualitatively similar to those of an equilibrium hard-sphere liquid and partly even to...
متن کاملSphere Packings Iii
Thus in the closest pack in three dimensions, the triangular pattern cannot exist without the square, and vice versa. Abstract: An earlier paper describes a program to prove the Kepler conjecture. This paper reduces the third step of that program to a system of inequalities and one exceptional connguration of spheres. Although these inequalities have not yet been rigorously established, they se...
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A collection of non-overlapping spheres in the space is called a packing. Two spheres are said to be neighbours if they have a boundary point in common. A packing is called k-regular if each sphere has exactly k neighbours. We are concerned with the following question. What is the minimum number of not necessarily congruent spheres which may form a k-regular packing? In general, for which natur...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2014
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.113.148001