Theory of Simple Glasses: Exact Solutions in Infinite Dimensions

ISBN-13: 9781107191075 / Angielski / Twarda / 2020 / 349 str.

Giorgio Parisi; Pierfrancesco Urbani; Francesco Zamponi

Opis

A self-contained book describing the modern mean field theory of simple structural glasses using a quantum statistical mechanical approach.

Recenzje

'In this advanced textbook, the authors, all solid-state physicists, present a theory of simple glasses, defined as collections of interacting point particles. The approach, based on statistical mechanics and concepts of multiple-state metastability, is rigorous and educational. Derivations are careful and detailed … An especially useful and educational feature is that each chapter includes a résumé of main results and an annotated short bibliography geared to beginning students. An extensive, up-to-date bibliography at the end mainly draws from the Physical Review literature and related journals. Minimally indexed (no entries on shear stress or strain, viscosity, temperature, or spheres), the book is oriented toward advanced undergraduates or beginning graduate students (who will need preparation in statistical mechanics and liquid theory) and researchers in glasses, essentially addressing the solid-state physics and statistical mechanics communities.' J. Lambropoulos, Choice

Spis treści

Preface; 1. Infinite-dimensional models in statistical physics; 2. Atomic liquids in infinite dimensions: thermodynamics; 3. Atomic liquids in infinite dimensions: equilibrium dynamics; 4. Thermodynamics of glass states; 5. Replica symmetry breaking and hierarchical free energy landscapes; 6. The Gardner transition; 7. Counting glass states: the complexity; 8. Packing spheres in large dimensions; 9. The jamming transition; 10. Rheology of the glass; References; Index.