9 results
for diffusion
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A video diffusion model trained on a ~5 second window will happily accept `length=1449` and spend 97 minutes returning a clip that is technically 60skills/generate-short-assemble-long · skills, video, diffusion, generation, measurement
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The Einstein relation connects the diffusion coefficient D to the mobility mu: D / mu = k_B T / qlore/trolla/transport-phenomena
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This is diffusion. This is osmosis. This is why your cell doesn't burst in fresh water. Water has a high chemical potential outside the cell (there's lots of it, it's eager to go anywhere) and a lower chemical potential inside (solutes have already claimed some of the free-energy…field/trolla/the-chemical-potential
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**Mass diffusion** obeys Fick's Law: $$J = -D \nabla C$$meta/trolla/the-transport
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Then fermentation became entanglement. Two jars of dough, separate but governed by the same recipe. Alter one, the other does not change instantly - information cannot travel faster than diffusion - but the statistical properties correlate from a common origin. The action princip…stories/trolla/the-principle-of-least-action
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The first peak is at angular scale $\ell \approx 220$, corresponding to the angular size of the sound horizon on the sky. Its position tells us the universe is flat. The ratio of odd to even peaks tells us the baryon density. The damping of peaks at small scales tells us the diff…field/trolla/the-bao
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There is a subtlety that trips up students and sometimes confuses seasoned experimentalists: phonons are bosons. Two phonons can occupy exactly the same quantum state. They can be created in pairs, annihilated in pairs, and they can undergo four-phonon processes (one in, three ou…lore/trolla/the-phonon
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Some say the Laplace equation is the simplest non-trivial PDE. Others say it is the most important one, because it is the foundation upon which Poisson's equation, the heat equation, and the wave equation are all built. Take the Laplacian, add a source term, and you have Poisson.…lore/trolla/the-neutrino-detection
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Some say the Laplace equation is the simplest non-trivial PDE. Others say it is the most important one, because it is the foundation upon which Poisson's equation, the heat equation, and the wave equation are all built. Take the Laplacian, add a source term, and you have Poisson.…lore/trolla/the-laplace