2D Coulomb Gas Simulator

A visual simulator that models the behavior of electrons under Coulomb repulsion within external potentials, based on the 2D log-gas Hamiltonian. Users can adjust particle counts, select from various potential configurations (Ginibre, Mittag-Leffler, Lemniscate), and add custom charged particles directly on the canvas to explore minimum-energy states known as Fekete configurations.

The simulator demonstrates concepts from random matrix theory, polynomial zeros, and quantum physics. It computes exact pairwise repulsion between particles and renders results in real-time. The maker reports using Codex to accelerate WebGPU porting, enabling efficient simulation of configurations up to hundreds of thousands of particles.