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Rothschild Public Lecture: On Archimedes' Principle

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SSD - Stochastic systems for anomalous diffusion

Archimedes’ principle says that the upward buoyant force that is exerted on a body submerged in a fluid is equal to the weight of the displaced fluid. There is no mathematical literature on Archimedes’ principle exceptfor two articles co-authored by the speaker. This is because the principle can be easily derived from standard macroscopic laws of physics regarding pressure. I will show how the principle can be derivedfrom Newtonian mechanics applied to “ideal gas” consisting of point particles. Besides the derivation from a “lower level” theory, the main  novelty is that the macroscopic floating object is allowed to move, unlike in the traditional proof. The talk is based on joint research with Jacek Małecki

This talk is part of the Isaac Newton Institute Seminar Series series.

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