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Spin Glasses: Statics and Dynamics [electronic resource] :Summer School, Paris 2007 / edited by Anne Boutet Monvel, Anton Bovier.

by Monvel, Anne Boutet [editor.]; Bovier, Anton [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Progress in Probability: 62Publisher: Basel : Birkhäuser Basel, 2009.Description: online resource.ISBN: 9783764398910.Subject(s): Mathematics | Distribution (Probability theory) | Mathematical physics | Mathematics | Probability Theory and Stochastic Processes | Mathematical Methods in PhysicsDDC classification: 519.2 Online resources: Click here to access online
Contents:
Mean Field -- A Short Course on Mean Field Spin Glasses -- REM Universality for Random Hamiltonians -- Another View on Aging in the REM -- Spin Glass Identities and the Nishimori Line -- Self-averaging Identities for Random Spin Systems -- Chaos in Mean-field Spin-glass Models -- A non Gaussian Limit Law for the Covariances of Spins in a SK Model with an External Field -- A Limit Theorem for Mean Magnetisation in the Sherrington-Kirkpatrick Model with an External Field -- Non-mean Field -- A Percolation-theoretic Approach to Spin Glass Phase Transitions -- Fluctuations in Finite-dimensional Spin-glass Dynamics -- Disordered Pinning Models -- Renewal Sequences, Disordered Potentials, and Pinning Phenomena -- A Smoothing Inequality for Hierarchical Pinning Models.
In: Springer eBooksSummary: This book contains a collection of texts ranging from a basic introduction to the mathematical theory of spin glasses to state-of-the-art reports on current research, written by leading experts in the field. It provides a unique single reference volume that will guide the novice into the field and present an overview of recent result to the experts. The subject matter covers mean field theory of spin glasses, short range spin glasses as well as other models of statistical mechanics in random media, such as polymers in disordered potentials. Besides equilibrium statistical mechanics, nonequilibrium properties such as ageing are addressed. The focus of the book is on mathematically rigorous aspects of these topics. The book is intended for graduate students and researchers.
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Long Loan MAIN LIBRARY
QA273.A1-274.9 (Browse shelf) Available

Mean Field -- A Short Course on Mean Field Spin Glasses -- REM Universality for Random Hamiltonians -- Another View on Aging in the REM -- Spin Glass Identities and the Nishimori Line -- Self-averaging Identities for Random Spin Systems -- Chaos in Mean-field Spin-glass Models -- A non Gaussian Limit Law for the Covariances of Spins in a SK Model with an External Field -- A Limit Theorem for Mean Magnetisation in the Sherrington-Kirkpatrick Model with an External Field -- Non-mean Field -- A Percolation-theoretic Approach to Spin Glass Phase Transitions -- Fluctuations in Finite-dimensional Spin-glass Dynamics -- Disordered Pinning Models -- Renewal Sequences, Disordered Potentials, and Pinning Phenomena -- A Smoothing Inequality for Hierarchical Pinning Models.

This book contains a collection of texts ranging from a basic introduction to the mathematical theory of spin glasses to state-of-the-art reports on current research, written by leading experts in the field. It provides a unique single reference volume that will guide the novice into the field and present an overview of recent result to the experts. The subject matter covers mean field theory of spin glasses, short range spin glasses as well as other models of statistical mechanics in random media, such as polymers in disordered potentials. Besides equilibrium statistical mechanics, nonequilibrium properties such as ageing are addressed. The focus of the book is on mathematically rigorous aspects of these topics. The book is intended for graduate students and researchers.

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