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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
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Jamming and Glass Transitions - In Mean-Field Theories and Beyond (Paperback, 1st ed. 2019)
Loot Price: R2,833
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Jamming and Glass Transitions - In Mean-Field Theories and Beyond (Paperback, 1st ed. 2019)
Series: Springer Theses
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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.
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