File:Hamiltonian flow classical.gif
Summary
Flow of a statistical ensemble in the potential x**6 + 4*x**3 - 5*x**2 - 4*x. Over long times 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 <a href="https://en.wikisource.org/wiki/Elementary_Principles_in_Statistical_Mechanics" class="extiw" title="wikisource:Elementary Principles in Statistical Mechanics">wikisource:Elementary Principles in Statistical Mechanics</a>, Chapter XII, p. 143: "Tendency in an ensemble of isolated systems toward a state of statistical equilibrium".
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:38, 4 January 2017 | | 195 × 390 (172 KB) | 127.0.0.1 (talk) | Flow of a statistical ensemble in the potential x**6 + 4*x**3 - 5*x**2 - 4*x. Over long times 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).<br>This animation is inspired by a discussion of Gibbs in his 1902 <a href="https://en.wikisource.org/wiki/Elementary_Principles_in_Statistical_Mechanics" class="extiw" title="wikisource:Elementary Principles in Statistical Mechanics">wikisource:Elementary Principles in Statistical Mechanics</a>, Chapter XII, p. 143: "Tendency in an ensemble of isolated systems toward a state of statistical equilibrium". |
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