Fr. 134.00

Jamming and Glass Transitions - In Mean-Field Theories and Beyond

Inglese · Tascabile

Spedizione di solito entro 1 a 2 settimane (il titolo viene stampato sull'ordine)

Descrizione

Ulteriori informazioni

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.

Sommario

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. 

Dettagli sul prodotto

Autori Ada Altieri
Editore Springer, Berlin
 
Lingue Inglese
Formato Tascabile
Pubblicazione 01.09.2020
 
EAN 9783030236021
ISBN 978-3-0-3023602-1
Pagine 220
Dimensioni 169 mm x 14 mm x 240 mm
Illustrazioni XXI, 220 p. 39 illus., 28 illus. in color.
Serie Springer Theses
Categoria Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Elettricità, magnetismo, ottica

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