05787nam 2200781Ia 450 991046511640332120200520144314.00-19-965614-297866119757221-281-97572-90-19-155304-2(CKB)2560000000298369(EBL)415183(OCoLC)476240713(SSID)ssj0000085966(PQKBManifestationID)11123865(PQKBTitleCode)TC0000085966(PQKBWorkID)10025449(PQKB)11120620(StDuBDS)EDZ0000073512(MiAaPQ)EBC415183(Au-PeEL)EBL415183(CaPaEBR)ebr10279272(CaONFJC)MIL197572(EXLCZ)99256000000029836920080717d2009 uy 0engur|n|---|||||txtccrComplex dynamics of glass-forming liquids[electronic resource] a mode-coupling theory /Wolfgang GötzeOxford ;New York Oxford University Press20091 online resource (654 p.)International series of monographs on physics ;143Description based upon print version of record.0-19-923534-1 0-19-171560-3 Includes bibliographical references (p. [621]-633) and index.Contents; 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 equations2.4.2 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 equations3.3.2 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 approaches4.1.1 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 systems4.3.6 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 dynamics5.1.4 Idealized transitions from diffusion to localizationAmorphous 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 equationInternational series of monographs on physics (Oxford, England) ;143.ViscosityMode-coupling theoryEquations of motionComplex fluidsMolecular dynamicsElectronic books.Viscosity.Mode-coupling theory.Equations of motion.Complex fluids.Molecular dynamics.532.5532/.0533Götze Wolfgang1937-48765MiAaPQMiAaPQMiAaPQBOOK9910465116403321Complex dynamics of glass-forming liquids1947771UNINA