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Aperiodicity and Disorder - Do They Play a Role?

Grimm, Uwe (2002). Aperiodicity and Disorder - Do They Play a Role? In: Hoffmann, K.-H. and Schreiber, Michael eds. Computational Statistical Physics: From Billiards to Monte-Carlo. Berlin: Springer-Verlag, pp. 191–210.

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The effects of an aperiodic order or a random disorder on phase transitions in statistical mechanics are discussed. A heuristic relevance criterion based on scaling arguments as well as specific results for Ising models with random disorder or certain kinds of aperiodic order are reviewed. In particular, this includes an exact real-space renormalization treatment of the Ising quantum chains with coupling constants modulated according to substitution sequences, related to a two-dimensional classical Ising model with layered disorder.

Item Type: Book Chapter
ISBN: 3-540-42160-2, 978-3-540-42160-3
Extra Information: Preprint version available at
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 12351
Depositing User: Uwe Grimm
Date Deposited: 27 Nov 2008 17:33
Last Modified: 02 Dec 2010 20:15
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