國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Jamming and Glass Transitions/ by Ada Altieri.
Reminder of title:	In Mean-Field Theories and Beyond /
Author:	Altieri, Ada.
Description:	XXI, 220 p. 39 illus., 28 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Phase transitions (Statistical physics). -
Online resource:	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. - 1st ed. 2019. - XXI, 220 p. 39 illus., 28 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

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.

ISBN: 9783030236007

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

1254301
Phase transitions (Statistical physics).

LC Class. No.: QC173.45-173.458

Dewey Class. No.: 530.474

Jamming and Glass Transitions = In Mean-Field Theories and Beyond /
LDR:03011nam a22004095i 4500 001 1007833
003 DE-He213
005 20200702083520.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030236007 $9 978-3-030-23600-7
024 7 $a 10.1007/978-3-030-23600-7 $2 doi
035 $a 978-3-030-23600-7
050 4 $a QC173.45-173.458
072 7 $a PHFC $2 bicssc
072 7 $a SCI077000 $2 bisacsh
072 7 $a PHFC $2 thema
082 0 4 $a 530.474 $2 23
100 1 $a Altieri, Ada. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1301640
245 1 0 $a Jamming and Glass Transitions $h [electronic resource] : $b In Mean-Field Theories and Beyond / $c by Ada Altieri.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXI, 220 p. 39 illus., 28 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Theses, Recognizing Outstanding Ph.D. Research, $x 2190-5053
505 0 $a 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. .
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.
650 0 $a Phase transitions (Statistical physics). $3 1254301
650 0 $a Ceramics. $3 673527
650 0 $a Glass. $3 681282
650 0 $a Composites (Materials). $3 1253658
650 0 $a Composite materials. $3 561730
650 0 $a Low temperature physics. $3 1193206
650 0 $a Low temperatures. $3 639781
650 1 4 $a Phase Transitions and Multiphase Systems. $3 782552
650 2 4 $a Ceramics, Glass, Composites, Natural Materials. $3 1116204
650 2 4 $a Low Temperature Physics. $3 787620
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030235994
776 0 8 $i Printed edition: $z 9783030236014
776 0 8 $i Printed edition: $z 9783030236021
830 0 $a Springer Theses, Recognizing Outstanding Ph.D. Research, $x 2190-5053 $3 1253569
856 4 0 $u https://doi.org/10.1007/978-3-030-23600-7
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)