Online-Ressource
Verfasst von:	Altieri, Ada [VerfasserIn]
Titel:	Jamming and Glass Transitions
Titelzusatz:	in Mean-Field Theories and Beyond
Verf.angabe:	Ada Altieri
Verlagsort:	Cham
Verlag:	Springer
E-Jahr:	2019
Jahr:	[2019]
Umfang:	1 Online-Ressource (XXI, 220 Seiten)
Illustrationen:	Illustrationen, Diagramme
Gesamttitel/Reihe:	Springer Theses, Recognizing Outstanding Ph.D. Research
	Springer eBooks : Physics and Astronomy
	Springer eBook Collection
Hochschulschrift:	Dissertation, Sapienza University Rom
ISBN:	978-3-030-23600-7
Abstract:	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
	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
DOI:	doi:10.1007/978-3-030-23600-7
URL:	Resolving-System: https://doi.org/10.1007/978-3-030-23600-7
	Cover: http://swbplus.bsz-bw.de/bsz1676318097cov.htm
	DOI: https://doi.org/10.1007/978-3-030-23600-7
Schlagwörter:	(s)Mesoskopisches System    / (s)Phasenumwandlung    / (s)Mechanische Eigenschaft    / (s)Gefrieren    / (s)Glaszustand    / (s)Amorpher Zustand    / (s)Geometrische Frustration    / (s)Mean-Field-Theorie    / (s)Perzeptron    / (s)Störungstheorie
Datenträger:	Online-Ressource
Dokumenttyp:	Hochschulschrift
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe
K10plus-PPN:	1676318097
	Universitätsbibliothek
Lokale URL UB:	Zum Volltext