scholarly journals Thomson problem in one dimension: Minimal energy configurations of N charges on a curve

2019 ◽  
Vol 519 ◽  
pp. 256-266
Author(s):  
Paolo Amore ◽  
Martin Jacobo
Keyword(s):  
One Dimension ◽  
Minimal Energy ◽  
Thomson Problem ◽  
Energy Configurations

scholarly journals LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres

2010 ◽  
Vol 162 (6) ◽  
pp. 1256-1278 ◽  
Author(s):  
F.J. Narcowich ◽  
X. Sun ◽  
J.D. Ward ◽  
Z. Wu
Keyword(s):  
Minimal Energy ◽  
Energy Configurations

Stability and Reconstruction of, β-SiC (100) Surfaces

1996 ◽  
Vol 423 ◽  
Author(s):  
R. Gutierrez ◽  
Th. Frauenheim
Keyword(s):  
Molecular Dynamics ◽  
Density Functional ◽  
Molecular Dynamics Method ◽  
Minimal Energy ◽  
Surface Reconstructions ◽  
Energy Configurations ◽  
Dynamics Method

AbstractWe present a detailed investigation of β-SiC (100) surface reconstructions. Minimal energy configurations at both C- and Si-terminations are determined by using a density-functional based molecular-dynamics method. We provide information on the energetic order of various metastable surfaces and describe the geometrical details. In addition, we also study Si- and C-enriched configurations.

METHODS FOR STUDYING 3 + 1 LOCALIZED STRUCTURES: THE SKYRMION AS THE ABSOLUTE MINIMIZER OF ENERGY

1992 ◽  
Vol 07 (14) ◽  
pp. 3235-3264 ◽  
Author(s):  
YU. P. RYBAKOV ◽  
V. I. SANYUK
Keyword(s):  
Nonlinear Models ◽  
Spherically Symmetric ◽  
Minimal Energy ◽  
Absolute Minimum ◽  
Homotopy Classes ◽  
Localized Structures ◽  
Good Guide ◽  
The Absolute ◽  
Energy Configurations ◽  
Stable Structures

General methods in search of stable structures in (3 + 1)-dimensional models are presented. Using the Skyrme model as an example, we exhibit the methods and demonstrate their ability to pick out the minimal-energy configurations. In the class of fields with unit topological charge these are the well-known Skyrmions (the spherically symmetric configurations), which realize the absolute minimum of the energy. In the second and higher homotopy classes the minimal-energy configurations are, however, of the axisymmetric type. We argue that these methods provide a good guide and support to numerical analysis of multidimensional structures in essentially nonlinear models for liquid crystals, cosmology, ferromagnets, nonlinear elasticity, and so on.

scholarly journals Mesh ratios for best-packing and limits of minimal energy configurations

2013 ◽  
Vol 142 (1) ◽  
pp. 118-131 ◽  
Author(s):  
A. V. Bondarenko ◽  
D. P. Hardin ◽  
E. B. Saff
Keyword(s):  
Minimal Energy ◽  
Energy Configurations
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