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Replica symmetry breaking in the `small world' spin glass

This video was recorded at Workshop on Optimization and Inference in Machine Learning and Physics, Lavin 2005. We apply the cavity method to an Ising spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. Using the scheme developed by Mézard & Parisi for the Bethe lattice, we evaluate observables for a model with fixed connectivity and +/- J long range bonds. Furthermore, we determine the stability of the RS solution by making an ansatz on the form of the functional 1RSB order parameters.

Keywords:: videolectures, ocwc, oec

Disciplines:

Mathematics and Statistics / Mathematics / Discrete Mathematics / Graph Theory

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Material Type:: Presentation
Date Added to MERLOT:: February 10, 2015
Date Modified in MERLOT:: February 10, 2015
Author:: Bastian Wemmenhove, Radboud University Nijmegen
Submitter:: The Open Education Consortium
Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: Video

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-NoDerivs 3.0 United States