Download or read book Frustration and Disorder in Discrete Lattice Models written by Jesper Lykke Jacobsen and published by . This book was released on 1998 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Disorder and Competition in Soluble Lattice Models written by Walter F. Wreszinski and published by World Scientific. This book was released on 1993 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, existing literature on this subject matter can only be said to relate in minor areas to this work. Important concepts in statistical mechanics, such as frustration, localization, Lifshitz and Griffiths singularities, multicritical points, modulated phases, superselection sectors, spontaneous symmetry breaking and the Haldane phase, strange attractors and the Hausdorff dimension, and many others, are illustrated by exactly soluble lattice models. There are examples of simple lattice models which are shown to give rise to spectacular phase diagrams, with multicritical points and sequences of modulated phases. The models are chosen to enable a concise exposition as well as a connection with real physical systems (as dilute antiferromagnets, spin glasses and modulated magnets). A brief introduction to the properties of dynamical systems, an overview of conformal invariance and the Bethe Ansatz and a discussion of some general methods of statistical mechanics related to spontaneous symmetry breaking, are included in the appendices. A number of exercises are included in the text to help the comprehension of the most representative issues.
Download or read book Order Disorder and Criticality written by Yurij Holovatch and published by World Scientific. This book was released on 2004 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its ''golden age'' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the OC Ising lecturesOCO OCo a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject."
Download or read book Spin Glasses and Other Frustrated Systems written by Debashish Chowdhury and published by Princeton University Press. This book was released on 2014-07-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also explains the physical concepts and the mathematical formalisms that have been used successfully in solving the infiniterange model. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
Download or read book Nonequilibrium Phase Transitions in Lattice Models written by Joaquin Marro and published by Cambridge University Press. This book was released on 1999-05-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to nonequilibrium statistical physics via lattice models. Beginning with an introduction to the basic driven lattice gas, the early chapters discuss the relevance of this lattice model to certain natural phenomena and examine simulation results in detail. Several possible theoretical approaches to the driven lattice gas are presented. In the next two chapters, absorbing-state transitions are discussed in detail. The later chapters examine a variety of systems subject to dynamic disorder before returning to look at the more surprising effects of multiparticle rules, nonunique absorbing-states and conservation laws. Examples are given throughout the book, the emphasis being on using simple representations of nature to describe ordering in real systems. The use of methods such as mean-field theory, Monte Carlo simulation, and the concept of universality to study and interpret these models is described. Detailed references are included.
Download or read book Computational Studies of Frustration and Disorder written by Sounak Biswas and published by A.K. Publications. This book was released on 2022-12-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transverse field Ising antiferromagnets on frustrated lattices (and closely related quantum dimer, quantum link models and anisotropic spin models) have served as paradigmatic examples of the interplay between quantum fluctuations, thermal fluctuations, and the entropic effects associated with a large degeneracy of configurations with low exchange energy. They have been used to study a host of interesting phenomena associated with this interplay. Although ground state methods such as diffusion Monte Carlo and exact diagonalization have been used to study the quantum phases of of such model Hamiltonians and related quantum dimer and link models, efficient cluster algorithms for completely unbiased Monte Carlo studies of the T >= 0 quantum statistical mechanics of these systems have been largely unavailable in spite of the important role played by such models in the theory of frustrated quantum systems. Continuous-time cluster algorithms have been formulated for transverse field Ising models previously. However, these methods typically construct clusters based on a "link-decomposition" of the Hamiltonian into terms living on the links of the spatial lattice. While these cluster algorithms work well for ferromagnetic systems, they are rather inadequate for frustrated systems, since clusters formed by them percolate and freeze. Studies of models with frustration have mostly relied on growing one-dimensional clusters in the imaginary time direction. The bulk of this book addresses this problem and describes our attempts to alleviate it. Our approach uses a plaquette decomposition of the Hamiltonian within the Stochastic Series Expansion (SSE) framework of Sandvik to construct clusters based on a plaquette percolation process. Flipping these clusters does not change the weight of a configuration. In the case of frustrated bosonic systems with a conserved charge (and equivalent XXZ spin models), merely working with an appropriate plaquette decomposition of the Hamiltonian suffices to dramatically improve the efficiency of directed loop updates within the SSE framework. As we will see, this does not suffice for SSE simulations of frustrated transverse field Ising models. The key ingredient needed in such systems which have no conserved charge is the notion of premarked motifs that are imprinted on each spatial plaquette at the start of the cluster construction process.
Download or read book Frustrated Materials and Ferroic Glasses written by Turab Lookman and published by Springer. This book was released on 2018-11-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to ferroics and frustrated materials. Ferroics comprise a range of materials classes with functionalities such as magnetism, polarization, and orbital degrees of freedom and strain. Frustration, due to geometrical constraints, and disorder, due to chemical and/or structural inhomogeneities, can lead to glassy behavior, which has either been directly observed or inferred in a range of materials classes from model systems such as artificial spin ice, shape memory alloys, and ferroelectrics to electronically functional materials such as manganites. Interesting and unusual properties are found to be associated with these glasses and have potential for novel applications. Just as in prototypical spin glass and structural glasses, the elements of frustration and disorder lead to non-ergodocity, history dependence, frequency dependent relaxation behavior, and the presence of inhomogeneous nano clusters or domains. In addition, there are new states of matter, such as spin ice; however, it is still an open question as to whether these systems belong to the same family or universality class. The purpose of this work is to collect in a single volume the range of materials systems with differing functionalities that show many of the common characteristics of geometrical frustration, where interacting degrees of freedom do not fit in a lattice or medium, and glassy behavior is accompanied by additional presence of disorder. The chapters are written by experts in their fields and span experiment and theory, as well as simulations. Frustrated Materials and Ferroic Glasses will be of interest to a wide range of readers in condensed matter physics and materials science.
Download or read book Computational Complexity and Statistical Physics written by Allon Percus and published by OUP USA. This book was released on 2006-02-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.
Download or read book Frustrated Spin Systems written by H. T. Diep and published by World Scientific. This book was released on 2013 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."
Download or read book Monte Carlo Simulations of Disordered Systems written by S. Jain and published by World Scientific. This book was released on 1992-04-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling.
Download or read book The Physics of Complex Systems written by Franco Mallamace and published by IOS Press. This book was released on 2004 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely known that complex systems and complex materials comprise a major interdisciplinary scientific field that draws on mathematics, physics, chemistry, biology, and medicine as well as such social sciences as economics. The role of statistical physics in this new field has been expanding. Statistical physics has shown how phenomena and processes in different research areas that have long been assumed to be unrelated can have a common description. Through the application of statistical physics, methods developed for studying order phenomena in simple systems and processes have been generalized to more complex systems. This volume focuses on recent advances and perspectives in the physics of complex systems and provides both an overview of the field and a more detailed examination of the new ideas and unsolved problems that are currently attracting the attention of researchers. This book should be a useful reference work for anyone interested in this area, whether beginning graduate student or advanced research professional. It provides up-to-date reviews on cutting-edge topics compiled by leading authorities and is designed to both broaden the reader's competence within their own field and encourage the exploration of new problems in related fields.
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Download or read book Critical Currents In Superconductors Proceedings Of The 8th International Workshop written by Teruo Matsushita and published by World Scientific. This book was released on 1996-11-26 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop includes about 110 papers describing the flux pinning and related electromagnetic phenomena in superconductors. Various problems are argued on exotic properties of flux lines, flux dynamics, flux pinning mechanisms, critical current density and critical state phenomena in both high- and low-temperature superconductors.
Download or read book Progress in Statistical Mechanics written by Chin-Kun Hu and published by World Scientific. This book was released on 1988 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Materials Science written by Kaoru Ohno and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Powerful computers now enable scientists to model the physical and chemical properties and behavior of complex materials using first principles. This book introduces dramatically new computational techniques in materials research, specifically for understanding molecular dynamics.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1983 with total page 1408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
