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Image: Hamiltonian flow classical

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Hamiltonian_flow_classical.gif ‎(195 × 390 pixels, file size: 172 KB, MIME type: image/gif, looped, 86 frames, 26 s)

Description: Flow of a statistical ensemble in the potential x**6 + 4*x**3 - 5*x**2 - 4*x. Over long times it becomes swirled up, and appears to become a smooth and stable distribution. However, this stability is an artifact of the pixelization (the actual structure is too fine to perceive). This animation is inspired by a discussion of Gibbs in his 1902 wikisource:Elementary Principles in Statistical Mechanics, Chapter XII, p. 143: "Tendency in an ensemble of isolated systems toward a state of statistical equilibrium". A quantum version of this can be found at File:Hamiltonian flow quantum.webm
Title: Hamiltonian flow classical
Credit: Own work
Author: Nanite
Usage Terms: Creative Commons Zero, Public Domain Dedication
License: CC0
License Link: http://creativecommons.org/publicdomain/zero/1.0/deed.en
Attribution Required?: No

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