Metastable Glassy States Under External Perturbations
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| Author | : Corrado Rainone |
| Publisher | : Springer |
| Total Pages | : 219 |
| Release | : 2017-06-27 |
| Genre | : Science |
| ISBN | : 3319604236 |
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.
| Author | : Giorgio Parisi |
| Publisher | : Cambridge University Press |
| Total Pages | : 341 |
| Release | : 2020-01-09 |
| Genre | : Science |
| ISBN | : 1107191076 |
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.
| Author | : Maxime Hardy |
| Publisher | : Scientia Rerum (academic publishers), Paris |
| Total Pages | : 215 |
| Release | : 2019-01-24 |
| Genre | : Mathematics |
| ISBN | : |
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
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 527 |
| Release | : 2011-09-22 |
| Genre | : Science |
| ISBN | : 0080550592 |
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
| Author | : Anirban Banerjee |
| Publisher | : CRC Press |
| Total Pages | : 570 |
| Release | : 2023-06-14 |
| Genre | : Technology & Engineering |
| ISBN | : 1000944042 |
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.
| Author | : Giorgio Parisi |
| Publisher | : Cambridge University Press |
| Total Pages | : 341 |
| Release | : 2020-01-09 |
| Genre | : Science |
| ISBN | : 1108126103 |
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 | : Marc Mezard |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 477 |
| Release | : 1987-11-01 |
| Genre | : Science |
| ISBN | : 9813103914 |
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.
| Author | : C. Bradley Moore |
| Publisher | : Elsevier |
| Total Pages | : 411 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323151604 |
Chemical and Biochemical Applications of Lasers aims to give a general introduction to as well as an evaluation of the successful application of lasers in various areas, especially in the fields of chemistry and biochemistry. The book begins with a basic knowledge of general laser physics and the types of lasers, then moves on to more specific topics that include the Raman spectra of biological materials; laser spectroscopy of gas phase ions; and optical analogs of magnetic spectroscopy. The text also discusses the molecular beams; the energy flow in polyatomic molecules; and the different properties of molecules in relation to electronical excitation and quasi-electric light scattering. Studies of different chemical reactions are also included. The text is recommended for chemists, biochemists, and chemical physicists who want to know more about lasers and its applications to their respective fields. The book will also be helpful for those concerned with the chemical reactions lasers can bring about and for those who want to conduct further studies regarding laser uses.
| Author | : Cirano De Dominicis |
| Publisher | : Cambridge University Press |
| Total Pages | : 5 |
| Release | : 2006-10-26 |
| Genre | : Science |
| ISBN | : 1139459910 |
Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.
| Author | : Nihon Butsuri Gakkai |
| Publisher | : |
| Total Pages | : 1014 |
| Release | : 2000 |
| Genre | : Electronic journals |
| ISBN | : |
