Dynamics of Random Spin Systems
نویسندگان
چکیده
منابع مشابه
Critical behavior of random spin systems
We provide a strategy to find in few elementary calculations the critical exponents of the overlaps for dilute spin glasses, in absence of external field. Such a strategy is based on the expansion of a suitably perturbed average of the overlaps, which is used in the formulation of the free energy as the difference between a cavity part and the derivative of the free energy itself, considered as...
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A general model in which the nearest-neighbor exchange interactions J(x⃗ ,x⃗ ′) are of the form J(x⃗ ,x⃗ ′)=J1+J2ε(x⃗ )ε(x⃗ ′)+J3[ε(x⃗ )+ε(x⃗ ′)]+J4μ(x⃗ ,x⃗ ′) is considered. Here ε(x⃗ ) is a random site variable and μ(x⃗ ,x⃗ ′) is a random bond variable. It is argued that J4 tends to produce the Edwards-Anderson-type spin glass, whereas J2 produces a different type of phase which is like an alloy of up and...
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We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a special case recovers the Ghirlanda-Guerra and Aizenman-Contucci identities, which are therefore proven, together with their extension, to be valid in a vaste class of spin models. We use the dilute spin glass as a guidi...
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J P L Hatchett, B Wemmenhove, I Pérez Castillo, T Nikoletopoulos, N S Skantzos and A C C Coolen † Department of Mathematics, King’s College London, The Strand, London WC2R 2LS, United Kingdom ¶ Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands ‡ Institute for Theoretical Physics, Katholieke Universiteit Leuven, Celestijnenlaan 20...
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Nikolay Klinduhov,1 Dmitry Chernyshov,2 and Kamel Boukheddaden3 1St.-Petersburg State University, 199034 St. Petersburg, Russia 2Swiss-Norwegian Beam Lines at ESRF, 6 rue Jules Horowitz, BP 220, 38043 Grenoble, France 3Groupe d’Etudes de la Matière Condensée, UMR-CNRS 8635, Université de Versailles St-Quentin, 45 Av. des Etats Unis, 78035 Versailles, France Received 25 November 2009; revised ma...
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ژورنال
عنوان ژورنال: Physica B+C
سال: 1986
ISSN: 0378-4363
DOI: 10.1016/s0378-4363(86)80078-x