Theory of Simple Glasses
Exact Solutions in Infinite Dimensions
Published on 9. January 2020
Book
Hardback
349 pages
978-1-107-19107-5 (ISBN)
Description
This pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.
Reviews / Votes
'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 resume 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, ChoiceMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises; 3 Tables, black and white; 6 Halftones, black and white; 42 Line drawings, black and white
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 23 mm
Weight
767 gr
ISBN-13
978-1-107-19107-5 (9781107191075)
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Schweitzer Classification
Other editions
Additional editions
Giorgio Parisi | Pierfrancesco Urbani | Francesco Zamponi
Theory of Simple Glasses
Exact Solutions in Infinite Dimensions
E-Book
01/2020
Cambridge University Press
€63.49
Available for download
E-Book
01/2020
Cambridge University Press
€58.99
Available for download
Persons
Giorgio Parisi is a Professor of Physics at the Università degli Studi di Roma 'La Sapienza', Italy. His research is broadly focused on theoretical physics; from particle physics to glassy systems. He has been the recipient of numerous awards, including the Boltzmann Medal, the Enrico Fermi Prize, the Max Planck Medal, the Lars Onsager Prize and an ERC advanced grant. He is president of the Accademia dei Lincei and a member of the collaboration 'Cracking the glass problem', funded by the Simons Foundation.
Content
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.