Overview
- Nominated as an outstanding Ph.D. thesis by the Sapienza University, Rome, Italy
- Offers a detailed overview of supercooled liquids and glassy systems
- Explains every facet of the jamming paradigm and its connections with an archetype model of learning, the perceptron
- Provides advanced analytical techniques both in high-dimensional systems and in lattice models
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
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Front Matter
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Glass and Jamming Transitions in Mean-Field Models
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Front Matter
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Lattice Theories Beyond Mean-Field
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Front Matter
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Conclusions
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Jamming and Glass Transitions
Book Subtitle: In Mean-Field Theories and Beyond
Authors: Ada Altieri
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-23600-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23599-4Published: 06 September 2019
Softcover ISBN: 978-3-030-23602-1Published: 06 September 2020
eBook ISBN: 978-3-030-23600-7Published: 28 August 2019
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XXI, 220
Number of Illustrations: 11 b/w illustrations, 28 illustrations in colour
Topics: Phase Transitions and Multiphase Systems, Ceramics, Glass, Composites, Natural Materials, Low Temperature Physics