Metastable Glassy States Under External Perturbations

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Metastable Glassy States Under External Perturbations

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Author : Corrado Rainone
language : en
Publisher: Springer
Release Date : 2017-06-27

Metastable Glassy States Under External Perturbations written by Corrado Rainone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-27 with Science categories.

This thesis presents a theoretical analysis of the behavior of glasses under external perturbations, i.e. compression and shear straining. Written in a pedagogical style, it explains every facet of the problem in detail, including many crucial steps that cannot be found in the existing literature—making it particularly useful for students and as an introduction to the subject of glassy physics. In glassy systems the behavior under external compression and shear-strain is quite peculiar. Many complex phenomena are observed and grasping them fully would be a major step toward a complete theory of the glass transition. This thesis makes important advances in this direction, analyzing the behavior of glassy states in painstaking detail and reproducing it in the framework of a recently developed mean field theory for glasses that has proven extremely successful for jamming, demonstrating its predictive power in the context of metastable glassy states obtained through nonequilibrium protocols.

Convexity And Connectivity Of The Solution Space In Machine Learning Problems

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Author : Maxime Hardy
language : en
Publisher: Scientia Rerum (academic publishers), Paris
Release Date : 2019-01-24

Convexity And Connectivity Of The Solution Space In Machine Learning Problems written by Maxime Hardy and has been published by Scientia Rerum (academic publishers), Paris this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Mathematics categories.

ScientiaRerum Thesis — 2018. This thesis investigates properties of the solution space of the machine-learning problem of random pattern classification. Such properties as convexity of the space of solutions, its connectivity and clusterization are studied. Evidence has been provided recently that there exists a universality class for random pattern classification models, making it possible to study the properties of the whole set of constraint satisfaction problems using the most simple model, the perceptron with spherical constraint: it is exactly solvable and exhibits the full stack of charactetistic properties of that class. In order to obtain statistically representative treatment of the model (as opposed to the best/worst-case scenarios), we used the well established methods of theoretical physics of disordered systems (a.k.a. spin glasses). In terms of that science, this model can be interpreted as a random packing problem and demonstrates the phenomenology of slow glassy relaxation and a jamming transition. The specific property of that model is that the corresponding constraint satisfaction problems ceases to be convex. The non-convex domain is exproled in detail in this thesis and its structure is presented on a phase diagram.Publisher : Scientia Rerum (academic publishers), Paris

Complex Systems

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Author :
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Complex Systems written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.

There has been recently some interdisciplinary convergence on a number of precise topics which can be considered as prototypes of complex systems. This convergence is best appreciated at the level of the techniques needed to deal with these systems, which include: 1) A domain of research around a multiple point where statistical physics, information theory, algorithmic computer science, and more theoretical (probabilistic) computer science meet: this covers some aspects of error correcting codes, stochastic optimization algorithms, typical case complexity and phase transitions, constraint satisfaction problems. 2) The study of collective behavior of interacting agents, its impact on understanding some types of economical and financial problems, their link to population and epidemics dynamics, game theory, social, biological and computer networks and evolution.The present book is the written version of the lectures given during the Les Houches summer school session on "Complex Systems", devoted to these emerging interdisciplinary fields. The lectures consist both in a number of long methodological courses (probability theory, statistical physics of disordered systems, information theory, network structure and evolution, agent-based economics and numerical methods) and more specific, 'problem oriented' courses. Lecturers are all leading experts in their field; they have summarized recent results in a clear and authoritative manner. The "Les Houches lecture notes" have a long tradition of excellence and are often found to be useful for a number of years after they were written. The book is of interest to students and researchers with various backgrounds: probability theory, computer science, information theory, physics, finance, biology, etc.·Topical and comprehensive survey of the emerging, interdisciplinary field of "Complex Systems", covered by recognized world experts·"Les Houches lectures notes": a long tradition of excellence and long-lasting impact ·Of interest to a broad audience (mathematics, physics, biology, informatics, finance, geology, etc.)·Some applications may have concrete impact·Selected topics in complex systems: forefront of research in the field

Theory Of Simple Glasses

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Author : Giorgio Parisi
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-09

Theory Of Simple Glasses written by Giorgio Parisi 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 2020-01-09 with Science categories.

This self-contained text describes the modern mean field theory of simple structural glasses using a quantum statistical mechanical approach. Describing the theory in clear and simple terms, this is a valuable resource for graduate students and researchers working in condensed matter physics and statistical mechanics.

Advances In Physical Metallurgy

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Author : Anirban Banerjee
language : en
Publisher: CRC Press
Release Date : 2023-06-14

Advances In Physical Metallurgy written by Anirban Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Technology & Engineering categories.

This volume focuses on the wealth of existing literature on physical metallurgy, and deals with materials in different states of order and the process of order evolution. It is a valuable reference by students and researchers in the field of materials science and metallurgy.

Spin Glass Theory And Beyond An Introduction To The Replica Method And Its Applications

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Author : Marc Mezard
language : en
Publisher: World Scientific Publishing Company
Release Date : 1987-11-01

Spin Glass Theory And Beyond An Introduction To The Replica Method And Its Applications written by Marc Mezard and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11-01 with Science categories.

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.

Strongly Correlated Electrons In Two Dimensions

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Author : Sergey Kravchenko
language : en
Publisher: CRC Press
Release Date : 2017-05-25

Strongly Correlated Electrons In Two Dimensions written by Sergey Kravchenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.

The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.

Spin Glasses And Related Problems

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Author : V. S. Dotsenko
language : en
Publisher: CRC Press
Release Date : 1990

Spin Glasses And Related Problems written by V. S. Dotsenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.

Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR

Disorder Effects On Relaxational Processes

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Author : Ranko Richert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Disorder Effects On Relaxational Processes written by Ranko Richert 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.

The field of non-crystalline materials has seen the emergence of many challeng ing problems during its long history. In recent years, the interest in polymeric and biological disordered matter has stimulated new activities which in turn have enlarged the organic and inorganic glass community. The current research fields and recent progress have extended our knowledge of the rich phenomenol ogy of glassy systems, where the role of disorder is fundamental for the underlying microscopic dynamics. In addition, despite the lack of a unified theory, many interesting theoretical models have recently evolved. The present volume offers the reader a collection of topics representing the current state in the understanding of disorder effects as well as a survey of the basic problems and phenomena involved. The task of compiling a book devoted to disordered systems has benefited much from a seminar organized by the W.-E. Heraeus Foundation in Bad Honnef in April 1992, where we had the opportunity to discuss the project with most of the authors. Here we wish to thank the Heraeus Foundation for their support, and the authors and Springer-Verlag, especially Dr. Marion Hertel, for the pleasant cooperation.

Fundamentals Of The Physics Of Solids

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Author : Jenö Sólyom
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-09

Fundamentals Of The Physics Of Solids written by Jenö Sólyom 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 2010-12-09 with Science categories.

This book is the third of a three-volume series written by the same author. It aims to deliver a comprehensive and self-contained account of the fundamentals of the physics of solids. In the presentation of the properties and experimentally observed phenomena together with the basic concepts and theoretical methods, it goes far beyond most classic texts. The essential features of various experimental techniques are also explained. This volume is devoted mostly to the discussion of the effects of electron—electron interaction beyond the one-electron approximation. The density-functional theory is introduced to account for correlation effects. The response to external perturbations is discussed in the framework of linear response theory. Landau’s Fermi-liquid theory is followed by the theory of Luttinger liquids. The subsequent chapters are devoted to electronic phases with broken symmetry: to itinerant magnetism, to spin- and charge-density waves and their realizations in quasi-one-dimensional materials, as well as to the microscopic theory of superconductivity. An overview is given of the physics of strongly correlated systems. The last chapter covers selected problems in the physics of disordered systems.