Jamming and Glass Transitions: In Mean-Field Theories and Beyond

Author:   Ada Altieri
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
ISBN:  

9783030235994


Pages:   220
Publication Date:   06 September 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Jamming and Glass Transitions: In Mean-Field Theories and Beyond


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Overview

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 importantconnections among constraint satisfaction problems, jamming and critical phenomena in complex systems, and lay part of the groundwork for a complete theory of amorphous solids.

Full Product Details

Author:   Ada Altieri
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Weight:   0.535kg
ISBN:  

9783030235994


ISBN 10:   3030235998
Pages:   220
Publication Date:   06 September 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Glass and jamming transitions in mean-field models.- Supercooled liquids and the glass transition.- The Jamming Transition.- An Exactly Solvable Model: The  Perceptron.- Universality Classes: Perceptron Versus Sphere Models.- The Jamming Paradigm in Ecology.- Lattice Theories Beyond Mean-field.-  The M-layer construction.- Conclusions.- Conclusions and Perspectives.- Appendix. 

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