LEADER 05787nam 2200781Ia 450 001 9910465116403321 005 20200520144314.0 010 $a0-19-965614-2 010 $a9786611975722 010 $a1-281-97572-9 010 $a0-19-155304-2 035 $a(CKB)2560000000298369 035 $a(EBL)415183 035 $a(OCoLC)476240713 035 $a(SSID)ssj0000085966 035 $a(PQKBManifestationID)11123865 035 $a(PQKBTitleCode)TC0000085966 035 $a(PQKBWorkID)10025449 035 $a(PQKB)11120620 035 $a(StDuBDS)EDZ0000073512 035 $a(MiAaPQ)EBC415183 035 $a(Au-PeEL)EBL415183 035 $a(CaPaEBR)ebr10279272 035 $a(CaONFJC)MIL197572 035 $a(EXLCZ)992560000000298369 100 $a20080717d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aComplex dynamics of glass-forming liquids$b[electronic resource] $ea mode-coupling theory /$fWolfgang Go?tze 210 $aOxford ;$aNew York $cOxford University Press$d2009 215 $a1 online resource (654 p.) 225 1 $aInternational series of monographs on physics ;$v143 300 $aDescription based upon print version of record. 311 $a0-19-923534-1 311 $a0-19-171560-3 320 $aIncludes bibliographical references (p. [621]-633) and index. 327 $aContents; Preface; 1 Glassy dynamics of liquids-facets of the phenomenon; 1.1 Stretching of the dynamics; 1.2 Power-law relaxation; 1.3 Superposition principles; 1.4 Two-step relaxation through a plateau; 1.5 The cage effect; 1.6 Crossover phenomena; 1.7 Hard-sphere systems: the paradigms; 1.8 Hard-sphere systems with short-range attraction; 2 Correlation functions; 2.1 The evolution of dynamical variables; 2.2 Correlation-function description of the dynamics; 2.3 Spectral representations; 2.4 Memory-kernel descriptions of correlators; 2.4.1 Zwanzig-Mori equations 327 $a2.4.2 Models for correlation functions2.5 Linear-response theory; 2.6 The arrested parts of correlation functions; 3 Elements of liquid dynamics; 3.1 Preliminaries; 3.1.1 Homogeneous isotropic systems without chirality; 3.1.2 Densities and density fluctuations; 3.2 Tagged-particle dynamics; 3.2.1 Basic concepts and general equations; 3.2.2 Tagged-particle diffusion; 3.2.3 The friction coefficient; 3.2.4 The cage effect and glassy-dynamics precursors of the velocity correlations; 3.3 Densities and currents in simple liquids; 3.3.1 Definitions and general equations 327 $a3.3.2 Transverse-current diffusion3.3.3 The generalized-hydrodynamics description of transverse-current correlations; 3.3.4 Visco-elastic features and glassy-dynamics precursors of the transverse-current correlators; 3.3.5 Representations of the density correlators in terms of relaxation kernels; 3.3.6 Sound waves and heat diffusion; 3.3.7 Visco-elastic features and glassy-dynamics precursors of the density-fluctuation correlators; 4 Foundations of the mode-coupling theory for the evolution of glassy dynamics in liquids; 4.1 Self-consistent-current-relaxation approaches 327 $a4.1.1 The factorization ansatz4.1.2 Self-consistency equations for density correlators; 4.2 A mode-coupling theory; 4.2.1 Equations of motion and fixed-point equations; 4.2.2 Mode-coupling-theory models; 4.2.3 The basic version of microscopic mode-coupling theories; 4.2.4 An elementary mode-coupling-theory model; 4.3 Glass-transition singularities; 4.3.1 Regular and critical states; 4.3.2 Examples for bifurcation diagrams; 4.3.3 Classification of the critical states; 4.3.4 Correlation arrest near A[sub(2)] singularities; 4.3.5 Density-fluctuation arrest in hard-sphere-like systems 327 $a4.3.6 Arrest in systems with short-ranged-attraction4.4 Dynamics near glass-transition singularities; 4.4.1 Relaxation through plateaus; 4.4.2 Below-plateau relaxation; 4.4.3 Structure and structure relaxation; 4.4.4 Descriptions of some glassy-dynamics data; 5 Extensions of the mode-coupling theory for the evolution of glassy dynamics of liquids; 5.1 Extensions of the MCT for simple systems; 5.1.1 MCT equations for the glassy shear dynamics; 5.1.2 Glassy-relaxation features of shear correlations; 5.1.3 MCT equations for the tagged-particle dynamics 327 $a5.1.4 Idealized transitions from diffusion to localization 330 $aAmorphous condensed matter can exhibit complex motions on time scales which extend up to those relevant for the functioning of biomaterials. The book presents the derivation of a microscopic theory for amorphous matter, which exhibits the evolution of such complex motions as a new paradigm of strongly interacting particle systems. e - ;The book contains the only available complete presentation of the mode-coupling theory (MCT) of complex dynamics of glass-forming liquids, dense polymer melts, and colloidal suspensions. It describes in a self-contained manner the derivation of the MCT equation 410 0$aInternational series of monographs on physics (Oxford, England) ;$v143. 606 $aViscosity 606 $aMode-coupling theory 606 $aEquations of motion 606 $aComplex fluids 606 $aMolecular dynamics 608 $aElectronic books. 615 0$aViscosity. 615 0$aMode-coupling theory. 615 0$aEquations of motion. 615 0$aComplex fluids. 615 0$aMolecular dynamics. 676 $a532.5 676 $a532/.0533 700 $aGo?tze$b Wolfgang$f1937-$048765 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465116403321 996 $aComplex dynamics of glass-forming liquids$91947771 997 $aUNINA