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Topics In Disordered Systems


Topics In Disordered Systems
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Topics In Disordered Systems


Topics In Disordered Systems
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Author : Charles M Newman
language : en
Publisher:
Release Date : 1997-09-23

Topics In Disordered Systems written by Charles M Newman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-23 with categories.




Topics In Disordered Systems


Topics In Disordered Systems
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Author : Charles M. Newman
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-09-23

Topics In Disordered Systems written by Charles M. Newman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-23 with Mathematics categories.


Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)



The Physics Of Disordered Systems


The Physics Of Disordered Systems
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Author : Gautam I Menon
language : en
Publisher: Hindustan Book Agency
Release Date : 2012-03-15

The Physics Of Disordered Systems written by Gautam I Menon and has been published by Hindustan Book Agency this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Science categories.


Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.



Statistical Mechanics Of Disordered Systems


Statistical Mechanics Of Disordered Systems
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Author : Anton Bovier
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-08

Statistical Mechanics Of Disordered Systems written by Anton Bovier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-08 with Mathematics categories.


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Fractals And Disordered Systems


Fractals And Disordered Systems
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Author : Armin Bunde
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fractals And Disordered Systems written by Armin Bunde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.



Models Of Disorder


Models Of Disorder
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Author : J. M. Ziman
language : en
Publisher: Cambridge University Press
Release Date : 1979-09-06

Models Of Disorder written by J. M. Ziman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-09-06 with Science categories.


Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.



Disordered Materials


Disordered Materials
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Author : Paolo M. Ossi
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

Disordered Materials written by Paolo M. Ossi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.


This self-contained textbook aims to introduce the physics of structurally disordered condensed systems at the level of advanced undergraduate and graduate students. The topics discussed include the geometry and symmetries of the building blocks commonly used to obtain atomic structures, the various kinds of disorder, the phenomenology and the main theories of the glass transition, investigation of the structure of amorphous systems, the dependence of system structure on its dimensions (clusters), and the case of positional order in the absence of translational order (quasicrystals).



Supersymmetry In Disorder And Chaos


Supersymmetry In Disorder And Chaos
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Author : Konstantin Efetov
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-13

Supersymmetry In Disorder And Chaos written by Konstantin Efetov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-13 with Mathematics categories.


This book provides a comprehensive treatment of the ideas and applications of supersymmetry.



Introduction To The Replica Theory Of Disordered Statistical Systems


Introduction To The Replica Theory Of Disordered Statistical Systems
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Author : Viktor Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2001

Introduction To The Replica Theory Of Disordered Statistical Systems written by Viktor Dotsenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.


An introductory book on the statistical mechanics of disordered systems, ideal for graduates and researchers.



Field Theory Disorder And Simulations


Field Theory Disorder And Simulations
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Author : Giorgio Parisi
language : en
Publisher: World Scientific
Release Date : 1992-10-09

Field Theory Disorder And Simulations written by Giorgio Parisi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-09 with Science categories.


This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).The basic problems discussed in the Field Theory section concern the interplay between perturbation theory and nonperturbative phenomena which are present when one deals with infrared or ultraviolet divergences or with nonconvergent perturbative expansions. The section on Disordered Systems contains a complete discussion about the replica method and its probabilistic interpretation, and also includes a short paper on multifractals. In the Simulations section, there is a series of lectures devoted to the study of quantum chromodynamics and a review paper on simulations in complex systems.The works of Giorgio Parisi have repeatedly displayed a remarkable depth of originality and innovation, and have paved the way for new research in many areas. This personal selection of his lectures and papers, complete with an original introduction by him, undoubtedly serves as a vital reference book for physicists and mathematicians working in these fields.