Some aspects of infinite range models of spin glasses: theory and numerical simulations

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dc.creatorBilloire, Alain
dc.date2007-09-11
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:36:46Z
dc.date.available2026-07-07T08:36:46Z
dc.descriptionThese notes give an introduction to the physics of the infinite range version of the Edwards--Anderson model, the so-called Sherrington--Kirkpatrick model. In a first part, I motivate and introduce the Edwards--Anderson and Sherrington--Kirkpatrick models. In the second part, I explain the analytical solution of the Sherrington--Kirkpatrick model, following Giorgio Parisi. I next give the physical interpretation of this solution. This is a vast subject, and I concentrate on the major points and give references for more details. The third part presents the simulation approach and compare its results to theoretical expectations: thermodynamics, finite size scaling, determination of the critical temperature using "parameters" like the "Binder parameter", and fluctuations. The last part gives a summary of our current understanding of finite size effects for the free energy and internal energy of the Sherrington--Kirkpatrick model
dc.descriptionTo appear in Rugged Free-Energy Landscapes - An Introduction, Springer Lecture Notes in Physics, 736, ed. W. Janke, (2008)
dc.identifierhttps://arxiv.org/abs/0709.1552
dc.identifierhttp://arxiv.org/abs/0709.1552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140175
dc.subjectDisordered Systems and Neural Networks
dc.titleSome aspects of infinite range models of spin glasses: theory and numerical simulations
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