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ThomsonProblemSolver. This repo is a simple solver for n (n>=2) dimension Thomson Problem. Requirements. GLOG (depends on GFlags) OpenBLAS/Intel MKL. optional: CUDA/cuBLAS. Update. We optimized the implementation on CPU and fixed bugs on GPU. It works 20 times faster than the code before. Usage. This solver is very easy to use.
5 days ago · 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 each other by an inverse square law. Exact solutions for n=2 to 8 are known, but n=9 and 11 are still unknown.
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The solution of the Thomson problem for two electrons is obtained when both electrons are as far apart as possible on opposite sides of the origin, = =, or =. Known exact solutions Schematic geometric solutions of the mathematical Thomson Problem for up to N = 5 electrons.
The Thomson problem concerns the equilibrium positions of identical point charges constrained to move without friction on the surface of a sphere Instead of motion constrained to a sphere we consider motion in a central field with varying exponents produced by a spherically symmetric charge density inside the sphere with a total charge opposite ...
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Jan 21, 2013 · The Thomson Problem is a famous unsolved problem that has several applications in math, chemistry, and physics. The problem is to find the optimal distribution of point charges on a spherical shell so that the total energy of the system is minimized.
