Physics

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De Rerum Stochástica: Lucretius’s Random Swerve and the Birth of SDEs

Epicurus added the clinamen — a random, uncaused swerve — to save atomism from determinism. Two thousand years later, it became the diffusion term in every SDE ever written.

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Heat Diffusion in an Iron Sphere — A FEniCSx Simulation

A 3D FEniCSx simulation of heat diffusing through an iron sphere with a hot core. Full PDE, boundary conditions, weak form, and DOLFINx code.

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Solar Magnetohydrodynamics: Solving Magnetic Diffusion in a Sphere

Solving the MHD induction equation in spherical geometry with Dedalus — magnetic diffusion on the 2D sphere surface and inside a 3D conducting ball, with animated GIF simulations.

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