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Information, Physics, and Computation$
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Marc Mézard and Andrea Montanari

Print publication date: 2009

Print ISBN-13: 9780198570837

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780198570837.001.0001

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The random energy model

The random energy model

(p.93) 5 The random energy model
Information, Physics, and Computation

Marc Mézard

Andrea Montanari

Oxford University Press

The random energy model is probably the simplest statistical physics model of a disordered system which exhibits a phase transition. This chapter studies its thermodynamic properties and its phase transition, and describes in detail the condensation phenomenon at work in the low temperature phase. The same mathematical structure and techniques appear in a large number of contexts. This is witnessed by the examples from information theory and combinatorial optimization presented in the next two chapters.

Keywords:   random energy model, phase transition, condensation, thermodynamic properties, low temperature phase

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