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Jamming and glass transitions = in m...

Altieri, Ada.

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Jamming and glass transitions = in mean-field theories and beyond /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Jamming and glass transitions/ by Ada Altieri.
其他題名:	in mean-field theories and beyond /
作者:	Altieri, Ada.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xxi, 220 p. :ill. (some col.), digital ;24 cm.
內容註:	Introduction -- Glass and jamming transitions in mean-?eld 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-?eld -- The M-layer construction -- Conclusions -- Conclusions and Perspectives -- Appendix.
Contained By:	Springer Nature eBook
標題:	Phase transformations (Statistical physics) -
電子資源:	https://doi.org/10.1007/978-3-030-23600-7
ISBN:	9783030236007

Jamming and glass transitions = in mean-field theories and beyond /
Altieri, Ada.

Jamming and glass transitionsin mean-field theories and beyond /[electronic resource] :by Ada Altieri. - Cham :Springer International Publishing :2019. - xxi, 220 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Glass and jamming transitions in mean-?eld 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-?eld -- 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.

ISBN: 9783030236007

Standard No.: 10.1007/978-3-030-23600-7doiSubjects--Topical Terms:

536285
Phase transformations (Statistical physics)

LC Class. No.: QC175.16.P5 / A48 2019

Dewey Class. No.: 530.474

Jamming and glass transitions = in mean-field theories and beyond /
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520 $a 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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