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商品詳細
Jamming and Glass Transitions: In Mean-Field Theories and Beyond. 2019 ed.
・ISBN 978-3-030-23602-1 paper EUR 99.99
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| 著者・編者 | Altieri, Ada, |
|---|---|
| シリーズ | (Springer Theses) |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 220 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-77330＞ |
解説
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.