LEADER 03912nam 22006375 450 001 9910349512603321 005 20200702083520.0 010 $a3-030-23600-5 024 7 $a10.1007/978-3-030-23600-7 035 $a(CKB)4100000009152649 035 $a(MiAaPQ)EBC5887747 035 $a(DE-He213)978-3-030-23600-7 035 $a(PPN)25830460X 035 $a(EXLCZ)994100000009152649 100 $a20190828d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aJamming and Glass Transitions $eIn Mean-Field Theories and Beyond /$fby Ada Altieri 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (229 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a3-030-23599-8 327 $aIntroduction -- 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. . 330 $aThe work described in this book originates from a major effort to develop a fundamental theory of the glass and the jamming transitions. The first chapters guide the reader through the phenomenology of supercooled liquids and structural glasses and provide the tools to analyze the most frequently used models able to predict the complex behavior of such systems. A fundamental outcome is a detailed theoretical derivation of an effective thermodynamic potential, along with the study of anomalous vibrational properties of sphere systems. The interested reader can find in these pages a clear and deep analysis of mean-field models as well as the description of advanced beyond-mean-field perturbative expansions. To investigate important second-order phase transitions in lattice models, the last part of the book proposes an innovative theoretical approach, based on a multi-layer construction. The different methods developed in this thesis shed new light on important connections among constraint satisfaction problems, jamming and critical phenomena in complex systems, and lay part of the groundwork for a complete theory of amorphous solids. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aPhase transitions (Statistical physics) 606 $aCeramics 606 $aGlass 606 $aComposites (Materials) 606 $aComposite materials 606 $aLow temperature physics 606 $aLow temperatures 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 606 $aCeramics, Glass, Composites, Natural Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z18000 606 $aLow Temperature Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25130 615 0$aPhase transitions (Statistical physics). 615 0$aCeramics. 615 0$aGlass. 615 0$aComposites (Materials). 615 0$aComposite materials. 615 0$aLow temperature physics. 615 0$aLow temperatures. 615 14$aPhase Transitions and Multiphase Systems. 615 24$aCeramics, Glass, Composites, Natural Materials. 615 24$aLow Temperature Physics. 676 $a530.474 676 $a530.474 700 $aAltieri$b Ada$4aut$4http://id.loc.gov/vocabulary/relators/aut$0837320 906 $aBOOK 912 $a9910349512603321 996 $aJamming and Glass Transitions$92517787 997 $aUNINA