Jamming And Glass Transitions PDF Download
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Author | : Ada Altieri |
Publisher | : Springer Nature |
Total Pages | : 220 |
Release | : 2019-08-28 |
Genre | : Science |
ISBN | : 3030236005 |
Download Jamming and Glass Transitions Book in PDF, ePub and Kindle
The work described in this book originates from a major effort to develop a fundamental theory of the glass and the jamming transitions. The first chapters guide the reader through the phenomenology of supercooled liquids and structural glasses and provide the tools to analyze the most frequently used models able to predict the complex behavior of such systems. A fundamental outcome is a detailed theoretical derivation of an effective thermodynamic potential, along with the study of anomalous vibrational properties of sphere systems. The interested reader can find in these pages a clear and deep analysis of mean-field models as well as the description of advanced beyond-mean-field perturbative expansions. To investigate important second-order phase transitions in lattice models, the last part of the book proposes an innovative theoretical approach, based on a multi-layer construction. The different methods developed in this thesis shed new light on important connections among constraint satisfaction problems, jamming and critical phenomena in complex systems, and lay part of the groundwork for a complete theory of amorphous solids.
Author | : Andrea J. Liu |
Publisher | : CRC Press |
Total Pages | : 584 |
Release | : 2001-02-22 |
Genre | : Science |
ISBN | : 9780748408795 |
Download Jamming and Rheology Book in PDF, ePub and Kindle
The subject of jamming and rheology is a broad and interdisciplinary one that is generating increasing interest. This book deals with one of the oldest unsolved problems in condensed matter physics - that of the nature of glass transition in supercooled liquids. Jamming and Rheology is a collection of reprinted articles from several fields, ranging from structural glasses to foams and granular materials. Glassy relaxation and constrained dynamics (jamming) occur at all scales, from microscopic to macroscopic - in the glass transition of supercooled liquids, in fluids confined to thin films, in the structural arrest of particles such as granular materials, and in foams which must be driven by an applied stress in order to flow. Because jamming occurs at the transition between where a flow occurs and where motion stops, it is hoped that there may be a universal feature that describes this transition in all systems. This volume shows that the systems described above share many common phenomenological features, and covers work done by a wide range of scientists and technologists working in areas from physics to chemistry to chemical and mechanical engineering.
Author | : Ada Altieri |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : |
ISBN | : |
Download Jamming and Glass Transition in Mean-field Theories and Beyond Book in PDF, ePub and Kindle
The detailed description of disordered and glassy systems represents an open problem in statistical physics and condensed matter. As yet, there is no single, well-established theory allowing to understand such systems. The research presented in this thesis is related in particular to the study of glassy materials in the low-temperature regime. More precisely, considering systems formed by athermal particles subject to repulsive short-range interactions, upon progressively increasing the density, a so-called jamming transition can be detected. It entails a freezing of the degrees of freedom and hence a huge increase of the material rigidity.We shall study this problem in view of a formal analogy between sphere models and the perceptron, a theoretical model undergoing a jamming transition and frustration phenomena typical of disordered systems. Being a mean-field model, it allows to obtain exact analytical results, which are generalizable to more complex high-dimensional settings.The main aim is to reconstruct the vibrational spectrum and all the relevant properties of a specific phase of the perceptron, corresponding to the hard-sphere regime.In this framework, we will derive the effective potential as a function of the gaps between and forces among the particles, and we will show that it is dominated by a non-trivial logarithmic interaction near the jamming point. This interaction in turn will clarify the relations existing between the relevant variables of the system, in the critical jamming region and beyond.Understanding the jamming transition and the perceptron properties will allow us to make progress in several related fields. First, this study could lay part of the groundwork towards a complete theory of amorphous systems, in both infinite and finite dimensions. Furthermore, the perceptron model seems to a have a close connection with the so-called Von Neumann problems. Indeed, biological and ecological systems often develop pseudo-critical properties and give rise to general mechanisms of resource-consumption optimisation.Is the identification of a broken symmetry regime possible? What would it yield in terms of the spectrum of the energy fluctuations?These are just a few questions we shall attempt to answer in this context.However, the mean-field approximation can sometimes provide wrong or misleading information, especially in studying certain phase transitions and determining the exact lower and upper critical dimensions. To have a broad perspective and correctly deal with finite-dimensional systems, in the second part of the thesis we will discuss obtaining a systematic perturbative expansion which can be applied to any model, as long as defined on a lattice or a bipartite graph.Our motivation is in particular due to the possibility of studying relevant second-order phase transitions which exist on the Bethe lattice -- a lattice with a locally tree-like structure and fixed connectivity for each node -- but which are qualitatively different or absent in the corresponding fully-connected version.
Author | : Maxime Sevelev |
Publisher | : |
Total Pages | : 208 |
Release | : |
Genre | : |
ISBN | : |
Download Phase Diagram, Jamming and Glass Transitions Book in PDF, ePub and Kindle
Author | : Vasili Baranau |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download Jamming, Glass Transition, and Entropy in Monodisperse and Polydisperse Hard-sphere Packings Book in PDF, ePub and Kindle
Author | : E. Donth |
Publisher | : Springer Science & Business Media |
Total Pages | : 433 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 3662043653 |
Download The Glass Transition Book in PDF, ePub and Kindle
Describes and interrelates the following processes: cooperative alpha processes in a cold liquid, structural relaxation in the glass near Tg, the Johari-Goldstein beta process, the Williams-Götze process in a warm liquid, fast nonactivated cage rattling and boson peak, and ultraslow Fischer modes.
Author | : Giorgio Parisi |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2020-01-09 |
Genre | : Science |
ISBN | : 1108126103 |
Download Theory of Simple Glasses Book in PDF, ePub and Kindle
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 | : Bertrand Duplantier |
Publisher | : Springer Science & Business Media |
Total Pages | : 165 |
Release | : 2011-04-29 |
Genre | : Mathematics |
ISBN | : 3034800843 |
Download Glasses and Grains Book in PDF, ePub and Kindle
This tenth volume in the Poincaré Seminar Series describes recent developments at one of the most challenging frontiers in statistical physics - the deeply related fields of glassy dynamics, especially near the glass transition, and of the statics and dynamics of granular systems. These fields are marked by a vigorous interchange between experiment, theory, and numerical studies, all of which are well represented by the leading experts who have contributed articles to this volume. These articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a Galilean dialogue on the mean field and competing theories of the glass transition, a wide-ranging survey of colloidal glasses, and experimental as well as theoretical treatments of the relatively new field of dense granular flows. This book should be of broad general interest to both physicists and mathematicians.
Author | : Ivan S. Gutzow |
Publisher | : John Wiley & Sons |
Total Pages | : 360 |
Release | : 2011-04-27 |
Genre | : Technology & Engineering |
ISBN | : 3527636544 |
Download Glasses and the Glass Transition Book in PDF, ePub and Kindle
Written by renowned researchers in the field, this up-to-date treatise fills the gap for a high-level work discussing current materials and processes. It covers all the steps involved, from vitrification, relaxation and viscosity, right up to the prediction of glass properties, paving the way for improved methods and applications. For solid state physicists and chemists, materials scientists, and those working in the ceramics industry. With a preface by L. David Pye and a foreword by Edgar D. Zanotto
Author | : Raphaël Candelier |
Publisher | : |
Total Pages | : 195 |
Release | : 2009 |
Genre | : |
ISBN | : |
Download Dynamics and Structure Close to the Glass and Jamming Transitions Book in PDF, ePub and Kindle
Au-delà des liquides moléculaires, une grande classe de systèmes amorphes présente les caractéristiques d'un transition vitreuse lorsque leur densité augmente: ralentissement de la dynamique et passage hors équilibre. Par ailleurs, un autre phénomène proche lui a souvent été associé : la transition de blocage (Jamming), qui intervient par exemple dans une assemblée amorphe et confinée de grains que l'on fait gonfler. A une valeur critique de la densité, la pression à l'intérieur de la boîte diverge et le matériau devient rigide.L'objectif de cette thèse est double : mieux comprendre la dynamique des particules au voisinage de la transition vitreuse d'une part, et au voisinage de la transition de blocage d'autre part.Dans une première partie, nous montrons que la transition de blocage dans un matériau granulaire dense vibré horizontalement a un comportement critique. Nous utilisons pour cela un protocole original dans lequel un intrus est tiré à force constante parmi des grains excités mécaniquement. Ce travail ouvre la voie vers des expériences de rhéologie en milieu granulaire dense.Dans une seconde partie, nous étudions comment se forment les hétérogénéités dynamiques. Pour cela, nous disposons des données de deux dispositifs expérimentaux de grains et d'une simulation d'un liquide de Lennard-Jones bidisperse répulsif, couvrant une large plage de systèmes vitreux. Malgré les apparentes différences, nous montrons que la dynamique des particules est pilotée par les mêmes mécanismes sous-jacents et mettons en évidence différentes échelles de temps ainsi qu'un mécanisme de facilitation dynamique.