Show HN: 2D Coulomb Gas Simulator
3 hours ago
- #Fekete configuration
- #2D Coulomb gas
- #Hamiltonian
- The energy of a configuration in a 2D log-gas is given by a Hamiltonian involving Coulomb repulsion and an external potential.
- The 2D Coulomb gas Hamiltonian appears in various areas: random matrix eigenvalues, polynomial zeroes, quantum Hall effect, Laplacian growth, and superconductors.
- Research has shown properties like particle density near boundaries following an erfc distribution.
- The simulator minimizes the Hamiltonian to approximate the minimum-energy state, known as Fekete configuration.
- Additional background can be found in the author's bachelor thesis or a linked blog post.