File:Ising-tartan.png
![File:Ising-tartan.png](https://upload.wikimedia.org/wikipedia/commons/thumb/7/7d/Ising-tartan.png/600px-Ising-tartan.png?20120828092641)
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[編輯]描述Ising-tartan.png |
English: This tartan-like graph shows the Ising model probability density That is, a lattice configuration of length is understood to consist of a sequence of "spins" and The energy of a given configuration Here, The interaction potential Here, the constant The set of all possible configurations where Image detailsThe image here shows As an invariant measureThis fractal tartan is invariant under the Baker's map. The shift operator This map (up to a reflection/rotation around the 45-degree axis) is essentially the Baker's map or equivalently the Horseshoe map. As the article on the Horseshoe map explains, the invariant sets have such a tartan pattern (an appropriately deformed Sierpinski carpet). In this case, the invariance arises from the translation invariance of the Gibbs states of the Ising model: that is, the energy for all integers The naive classical treatment given here suffers from conceptual difficulties in the |
日期 | 2006年9月24號 (original upload date) |
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作者 | Linas at 英文 維基百科 |
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Original upload log
[編輯]Transferred from en.wikipedia to Commons by Liftarn using CommonsHelper.
- 2006-09-24 16:14 Linas 1024×1024× (5013 bytes) Created by Linas Vepstas [[User:Linas]] on 24 September 2006
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現時 | 2012年8月28號 (二) 09:26 | ![]() | 1,024 × 1,024(5 KB) | File Upload Bot (Magnus Manske)(傾偈 | 貢獻) | Transfered from en.wikipedia by User:liftarn using CommonsHelper |
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