Aperiodicity and Disorder - Does it Matter?

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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.
Contribution to the lecture notes of the Heraeus summer school on Statistical Physics, Chemnitz, September 2000 (will be published by Springer), 20 pages, 5 eps figures, requires svmult.cls and physprbb.sty (included)

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Statistical Mechanics, Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/16933

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0010392
 http://arxiv.org/abs/cond-mat/0010392
 published as "Aperiodicity and Disorder - Do They Play a Role?" in: Computational Statistical Physics: From Billiards to Monte Carlo, eds. K.H. Hoffmann and M. Schreiber (Springer, Berlin, 2002), pp. 191-210

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arXiv