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Signatures of glass transition in partially ordered phases

✍ Scribed by Jasiurkowska-Delaporte, Małgorzata; Juszyńska, Ewa; Kolek, Łukasz; Krawczyk, Jan; Massalska-Arodź, Maria; Osiecka, Natalia; Rozwadowski, Tomasz

Book ID
121227845
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
406 KB
Volume
40
Category
Article
ISSN
0267-8292

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Phase Transitions in the Evolution of Pa
Phase Transitions in the Evolution of Partial Orders
✍ 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.