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Summary
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English: In any linear system energy in a mode stays in that mode. As such a linear system can never thermalize. The presence of a nonlinearity allows for the energy to move from mode to mode, but it was realized in the mid '50s that this is not enough to guarantee thermalization. In fact an elastic chain (which is a crude but effective model of a crystal) with a small quadratic extra term initially distributes the energy among its modes, but if you wait long enough you will see all the energy going back to the original mode, showing that the system is not ergodic and can not thermalize. |
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This file was derived from: Fermi–Pasta–Ulam–Tsingou recurrence.gif:  |
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Resized to fit 100 MP limit. The original can be viewed here: Fermi–Pasta–Ulam–Tsingou recurrence.gif: . Modifications made by Bürgerentscheid.
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Licensing
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
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Original upload log
This image is a derivative work of the following images:
- File:Fermi–Pasta–Ulam–Tsingou recurrence.gif licensed with Cc-zero
- 2020-03-21T19:52:43Z Bürgerentscheid 317x419 (10245638 Bytes) delay between frames specified, slightly cropped but still 299 MP > 100 MP
- 2018-09-14T11:24:17Z Berto 360x424 (10080873 Bytes) User created page with UploadWizard
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:08, 21 March 2020 | | 183 × 242 (6.62 MB) | Bürgerentscheid | == {{int:filedesc}} == {{Information |Description={{en|1=In any linear system energy in a mode stays in that mode. As such a linear system can never thermalize. The presence of a nonlinearity allows for the energy to move from mode to mode, but it was realized in the mid '50s that this is not enough to guarantee thermalization. In fact an elastic chain (which is a crude but effective model of a crystal) with a small quadratic extra term initially distributes the energy among its modes, but if... |
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