Distributing Many Electrons on the Unit Sphere for Minimizing of the Potential Energy
Publish place: 2nd National Electrical Engineering
Publish Year: 1388
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
NEEC02_122
تاریخ نمایه سازی: 7 بهمن 1388
Abstract:
The problem of distributing of points on a sphere has a long history. In fact, the problem is how should one place
np electrons on a sphere so as to minimize the potential energy, i.e., given p n electrons, find the equilibrium state distribution of minimal Coulomb potential of the electrons positioned on a conducting sphere. This problem, known as the Thomson problem of finding the lowest energy configuration of np point charges on a conducting sphere, originated with Thomson’s plum pudding model of the atomic nucleus.
Keywords:
Distributing points on a sphere , numerical methods , Columb potential , Riesz energy , quasi Newton method
Authors
Alireza Mohebi Ashtiani
Faculty of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil
Seyed Mansour Saeidi
Department of Basic Sciences, Islamic Azad University of Mahshahr, Mahshahr, Khuzestan, Iran