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Stillinger F.H., Salsburg Z.W. — Limiting polytope geometry for rigid rods, disks, and spheres
Stillinger F.H., Salsburg Z.W. — Limiting polytope geometry for rigid rods, disks, and spheres



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Название: Limiting polytope geometry for rigid rods, disks, and spheres

Авторы: Stillinger F.H., Salsburg Z.W.

Аннотация:

The available configuration space for finite systems of rigid particles separates into equivalent disconnected regions if those systems are highly compressed. This paper presents a study of the geometric properties of the limiting high-compression regions (polytopes) for rods, disks, and spheres. The molecular distribution functions represent cross sections through the convex polytopes, and for that reason they are obliged to exhibit single-peak behavior by the Brünn-Minkowski inequality. We demonstrate that increasing system dimensionality implies tendency toward nearest-neighbor particle-pair localization away from contact. The relation between the generalized Euler theorem for the limiting polytopes and cooperative jamming of groups of particles is explored. A connection is obtained between the moments of inertia of the polytopes (regarded as solid homogeneous bodies) and crystal elastic properties. Finally, we provide a list of unsolved problems in this geometrical many-body theory.


Язык: en

Рубрика: Наука/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 47

Добавлена в каталог: 24.03.2012

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