| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910465116403321 |
|
|
Autore |
Götze Wolfgang <1937-> |
|
|
Titolo |
Complex dynamics of glass-forming liquids [[electronic resource] ] : a mode-coupling theory / / Wolfgang Götze |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Oxford ; ; New York, : Oxford University Press, 2009 |
|
|
|
|
|
|
|
ISBN |
|
0-19-965614-2 |
9786611975722 |
1-281-97572-9 |
0-19-155304-2 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (654 p.) |
|
|
|
|
|
|
Collana |
|
International series of monographs on physics ; ; 143 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Viscosity |
Mode-coupling theory |
Equations of motion |
Complex fluids |
Molecular dynamics |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. [621]-633) and index. |
|
|
|
|
|
|
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 |
|
|
|
|
|
|
Sommario/riassunto |
|
Amorphous 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 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910557765203321 |
|
|
Autore |
O’Connor Mary I |
|
|
Titolo |
Unifying Ecology Across Scales: Progress, Challenges and Opportunities |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (254 p.) |
|
|
|
|
|
|
Soggetti |
|
Ecological science, the Biosphere |
Science: general issues |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact |
|
|
|
|
|
|
|
| |