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OverviewThe 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 DetailsAuthor: Ada AltieriPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2019 Weight: 0.535kg ISBN: 9783030235994ISBN 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 ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |