Jamming and Glass Transitions : In Mean-Field Theories and Beyond / by Ada Altieri.

Format:

Book

Author/Creator:

Altieri, Ada, author.

Contributor:

SpringerLink (Online service)

Series:

Physics and Astronomy (Springer-11651)

Springer Theses, Recognizing Outstanding Ph.D. Research,. 2190-5053

Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053

Language:

English

Subjects (All):

Phase transformations (Statistical physics).

Ceramics.

Glass.

Composite materials.

Low temperatures.

Phase Transitions and Multiphase Systems.

Ceramics, Glass, Composites, Natural Materials.

Low Temperature Physics.

Local Subjects:

Phase Transitions and Multiphase Systems.

Ceramics, Glass, Composites, Natural Materials.

Low Temperature Physics.

Physical Description:

1 online resource (XXI, 220 pages) : 39 illustrations, 28 illustrations in color.

Edition:

First edition 2019.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

System Details:

text file PDF

Summary:

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.

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. .

Other Format:

Printed edition:

ISBN:

978-3-030-23600-7

9783030236007

Access Restriction:

Restricted for use by site license.