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Absence of the partially ordered phase in theq-state models

✍ Scribed by L. Laanaït; M. Loulidi; N. Masaif


Book ID
112512854
Publisher
Springer
Year
1994
Tongue
English
Weight
430 KB
Volume
94
Category
Article
ISSN
1434-6036

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Phase Transitions in the Evolution of Pa
✍ Hans Jürgen Prömel; Angelika Steger; Anusch Taraz 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 331 KB

We determine the approximate number of partial orders with a fixed number of comparable pairs, give a complete description of the evolution of partial orders, and prove that infinitely many phase transitions occur. This answers questions posed by Dhar, Kleitman, and Rothschild 20 years ago.