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Nonperiodic Long-Range Order for Fast-Decaying Interactions at Positive Temperatures |
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| Authors: | Aernout C D van Enter Jacek Miekisz Miloš Zahradník |
| Institution: | (1) Institute for Theoretical Physics, Rijksuniversiteit Groningen, 9747 AG Groningen, The Netherlands;;(2) Institute of Applied Mathematics and Mechanics, Warsaw University, 02-097 Warsaw, Poland;;(3) Faculty of Mathematics and Physics, Charles University Prague, 18600 Prague, Czech Republic; |
| Abstract: | We present the first example of an exponentially decaying interaction which gives rise to nonperiodic long-range order at positive temperatures. |
| Keywords: | Classical lattice-gas models nonperiodic ground and Gibbs states long-range order Thue– Morse sequences stratified Gibbs states quasi-crystals |
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