The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of N electrons constrained to the surface of a ...

4 мая 2023 г. · The basic Thomson problem is simple to state but difficult to solve constrained non-linear global optimization; find the equilibrium ...

26 июл. 2017 г. · The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of N electrons constrained to the ... Doubt understanding an answer about the Thomson Problem. Thomson's charge packing problem on a circle (in 2 dimensions) Do solutions to the Thomson problem maximize volume for the ... Другие результаты с сайта math.stackexchange.com

1904: J.J. Thomson's attempt. (Phil. Mag. 7, 237) to explain the periodic table in terms of rigid electron shells fails…

In the Thomson problem, n point charges are placed on the surface of a unit sphere in such a way as to minimize the total energy of the system.

13 сент. 2019 г. · Thomson problem is a classical problem in physics to study how n number of charged particles distribute themselves on the surface of a sphere of ...

The Thomson problem is to determine the stable equilibrium positions of n classical electrons constrained to move on the surface of a sphere and repelling ...

We study Thomson problem in one dimension for N charges for different geometries. We show that multiple minima of the total electrostatic energy are present.

5 окт. 2023 г. · In this work, we numerically solve the Thomson problem on a square Clifford torus. To illustrate the usefulness of our approach, we apply it to Wigner crystals.