Academic Journal
CENTRAL CONFIGURATIONS IN THREE DIMENSIONS
| العنوان: | CENTRAL CONFIGURATIONS IN THREE DIMENSIONS |
|---|---|
| المؤلفون: | Richard A. Battye, Gary W. Gibbons, Paul M. Sutcliffe, Jodrell Bank Observatory, Cheshire Sk Dl U. K |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/hep-th/0201101v2.pdf. |
| سنة النشر: | 2002 |
| المجموعة: | CiteSeerX |
| الوصف: | We consider the equilibria of point particles under the action of two body central forces in which there are both repulsive and attractive interactions, often known as central configurations, with diverse applications in physics, in particular as homothetic time-dependent solutions to Newton’s equations of motion and as stationary states in the One Component Plasma model. Concentrating mainly on the case of an inverse square law balanced by a linear force, we compute numerically equilibria and their statistical properties. When all the masses (or charges) of the particles are equal, for small numbers of points they are regular convex deltahedra, which on increasing the number of points give way to a multi-shell structure. In the limit of a large number of points we argue using an analytic model that they form a homogeneous spherical distribution of points, whose spatial distribution appears, from our preliminary investigation, to be similar to that of a Bernal hard-sphere liquid. 1 1 Introduction and summary of results This is one of a series of papers about central configurations and related problems involving |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.263.9623; http://arxiv.org/pdf/hep-th/0201101v2.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.263.9623 http://arxiv.org/pdf/hep-th/0201101v2.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.DA9FA80F |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |