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Complex dynamics of glass-forming liquids [[electronic resource] ] : a mode-coupling theory / / Wolfgang Götze
| Complex dynamics of glass-forming liquids [[electronic resource] ] : a mode-coupling theory / / Wolfgang Götze |
| Autore | Götze Wolfgang <1937-> |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | 1 online resource (654 p.) |
| Disciplina |
532.5
532/.0533 |
| Collana | International series of monographs on physics |
| Soggetto topico |
Viscosity
Mode-coupling theory Equations of motion Complex fluids Molecular dynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-965614-2
9786611975722 1-281-97572-9 0-19-155304-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 equations
2.4.2 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 3.3.2 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 4.1.1 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 4.3.6 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 5.1.4 Idealized transitions from diffusion to localization |
| Record Nr. | UNINA-9910465116403321 |
Götze Wolfgang <1937->
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| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Computation of viscous incompressible flows / / Dochan Kwak, Cetin C. Kiris
| Computation of viscous incompressible flows / / Dochan Kwak, Cetin C. Kiris |
| Autore | Kwak Dochan |
| Edizione | [1st ed. 2011.] |
| Pubbl/distr/stampa | Dordrecht, : Springer-Verlag, 2010 |
| Descrizione fisica | 1 online resource (293 p.) |
| Disciplina | 532/.0533 |
| Altri autori (Persone) | KirisCetin C |
| Collana | Scientific computation |
| Soggetto topico |
Computational fluid dynamics
Viscous flow - Mathematical models |
| ISBN |
1-283-08861-4
9786613088611 94-007-0193-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 -- Introduction: Flow Physics; Computational Approach; What is Covered in The Monograph -- 2 -- Methods for Solving Viscous Incompressible Flow Problems: Overview; Mathematical Model; Formulation for General Geometry; Overview of Solution Approaches -- 3 -- Pressure Projection Method in Generalized Coordinates: Overview; Formulation in Integral Form; Discretization ; Solution Procedure; Validation of the Solution Procedure -- 4 -- Artificial Compressibility Method: Formulation and Its Physical Characteristics; Steady-State Formulation; Steady-state Algorithm ; Time-Accurate Procedure; Time-Accurate Algorithm Using Upwind Differencing; Validation of Solution Procedure; Unified Formulation -- 5 -- Flow Solvers and Validation: Scope of Validation; Selection of Codes for Engineering Applications; Steady Internal Flow: Curved Duct with Square Cross-Section; Time-Dependent Flow; External and Juncture Flow -- 6 -- Simulation of Liquid-Propellant Rocket Engine Sub-System: Historical Background; Flow Analysis in the Space Shuttle Main Engine (SSME); Flow Analysis Task and Computational Model for the SSME Powerhead; Turbulence Modeling Issues; Analysis of the Original Three-Circular-Duct HGM Configuration; Development of the New Two Elliptic-Duct HGM Configuration -- 7 -- Turbo-pump: Historical Background; Turbo-pump in Liquid-Propellant Rocket Engine; Mathematical Formulation; Validation of Simulation Procedures Using an Inducer; Application to Impeller Simulation; High-Fidelity Unsteady Flow Application to SSME Flowliners -- 8 -- Hemodynamics: Introduction; Model Equations for Blood Flow Simulation; Validation of Simulation Procedure; Blood Circulation in Human Brain; Simulation of Blood Flow in Mechanical Devices -- References -- Index. |
| Record Nr. | UNINA-9910693954603321 |
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Kwak Dochan
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| Dordrecht, : Springer-Verlag, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical analysis of viscoelastic flows / / Michael Renardy
| Mathematical analysis of viscoelastic flows / / Michael Renardy |
| Autore | Renardy Michael |
| Pubbl/distr/stampa | Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2000 |
| Descrizione fisica | 1 electronic text (ix, 104 p.) : ill., digital file |
| Disciplina | 532/.0533 |
| Collana | CBMS-NSF regional conference series in applied mathematics |
| Soggetto topico |
Viscous flow
Viscoelasticity |
| ISBN |
1-68015-790-6
0-89871-941-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. Phenomena in non-Newtonian flows -- 2. Mathematical formulation -- 3. Behavior in simple flows -- 4. Existence theory -- 5. Numerical methods -- 6. High Weissenberg number asymptotics -- 7. Reentrant corner singularities -- 8. Instabilities -- 9. Change of type -- 10. Jet breakup -- Bibliography -- Index. |
| Record Nr. | UNINA-9911006990403321 |
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Renardy Michael
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| Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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