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The Theoretical Minimum: What You Need to Know to Start Doing Physics by George Hrabovsky, Leonard Susskind

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Lecture 9: The Phase Space Fluid and the Gibbs-Liouville Theorem

Lenny loved watching the river, especially watching little bits of floating debris making their way downstream. He tried to guess how they would move between the rocks or get caught in eddys. But the river as a whole—the large-scale current, the volume of water, the shear, and the divergence and convergence of the flow were beyond him.

The Phase Space Fluid

Focusing on a particular initial condition and following it along its specific trajectory through phase space are very natural things to do in classical mechanics. But there is also a bigger picture that emphasizes the entire collection of trajectories. The bigger picture involves visualizing all possible starting points and ...

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