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Author: Daniel L. Stein
Publisher: Princeton University Press
Published: 2013-01-15
Total Pages: 336
ISBN-13: 0691147337
DOWNLOAD EBOOK →This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.
Author: K. H. Fischer
Publisher: Cambridge University Press
Published: 1993-05-27
Total Pages: 404
ISBN-13: 9780521447775
DOWNLOAD EBOOK →A comprehensive account of the theory, experimental work and computer modelling of spin glasses.
Author: Dmitry Panchenko
Publisher: Springer Science & Business Media
Published: 2013-02-26
Total Pages: 164
ISBN-13: 1461462894
DOWNLOAD EBOOK →The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.
Author: Daniel L Stein
Publisher: World Scientific
Published: 1992-08-11
Total Pages: 277
ISBN-13: 9814507776
DOWNLOAD EBOOK →This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.
Author: Hidetoshi Nishimori
Publisher: Clarendon Press
Published: 2001
Total Pages: 264
ISBN-13: 9780198509400
DOWNLOAD EBOOK →This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Author: Marc Mézard
Publisher: Oxford University Press
Published: 2009-01-22
Total Pages: 584
ISBN-13: 019857083X
DOWNLOAD EBOOK →A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.
Author: Giorgio Parisi
Publisher: Cambridge University Press
Published: 2020-01-09
Total Pages: 341
ISBN-13: 1108126103
DOWNLOAD EBOOK →This pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.
Author: Moshe Gitterman
Publisher: World Scientific Publishing Company
Published: 2013-09-25
Total Pages: 212
ISBN-13: 9814520624
DOWNLOAD EBOOK →This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.
Author: James Sethna
Publisher: OUP Oxford
Published: 2006-04-07
Total Pages: 374
ISBN-13: 0191566217
DOWNLOAD EBOOK →In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Author: M Mezard
Publisher: World Scientific Publishing Company
Published: 1987-11-01
Total Pages: 476
ISBN-13: 9813103914
DOWNLOAD EBOOK →This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.
