Fourier Heat Diffusion 2D

∂T/∂t = α∇²T | Draw heat sources | Watch diffusion

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Spectral energy (log scale)

Simulation

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About

The 2D heat equation governs thermal diffusion, population spread, and many physical phenomena. High spatial frequencies (sharp edges) diffuse fastest — Fourier modes decay as e^(-αk²t). The spectral panel shows energy per wavenumber on a log scale, revealing exponential decay of high-k modes.