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In this variant of the video • Mixing charged particles , the strength of the Coulomb interaction increases over time, up to a factor 100, which is equivalent to increasing the charges of the particles by the same factor. While this is not really physical, it gives an indication of how the charge/force constant influences the dynamics. The initial state consists in positively charged particles in the lower half of a box, and negatively charged particles in the upper half. The particles are symmetrically disposed in a regular arrangement. They interact via a Coulomb interaction, which is complemented by a Lennard-Jones interaction for particles of opposite charge, to avoid that they collapse on a single point. One can see the formation of anion-cation pairs that resemble basic atoms. One should keep in mind, however, that this simulation is purely classical, while one would need quantum mechanics to describe actual atoms. This video has two parts, showing the same simulation with two different color gradients: Particle charge: 0:00 Charge density: 1:44 In both parts, the color of the particles depends on their charge. n the second part, the color of the background depends on the local charge. To save on computation time, particles are placed into a "hash grid", each cell of which contains between 3 and 10 particles. Then only the influence of other particles in the same or neighboring cells is taken into account for each particle. Render time: 43 minutes 10 seconds Compression: crf 23 Color scheme: Twilight by Bastian Bechtold https://github.com/bastibe/twilight Music: "Sunday Skate in golden Gate" by Otis McDonald@OtisMacMusic Current version of the C code used to make these animations: https://github.com/nilsberglund-orlea... https://www.idpoisson.fr/berglund/sof... Some outreach articles on mathematics: https://images.math.cnrs.fr/auteurs/n... (in French, some with a Spanish translation) #ions #particles