Theory of Simple Glasses: Exact Solutions in Infinite Dimensions
Auteur
- Giorgio Parisi (Écrivain)
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lovingresponse
2022-04-06T10:14:27+02:00
Replica symmetry breaking corresponds to the coexistence of a large number of equivalent thermodynamic states.
In disordered systems, the Hamiltonian has no explicit symmetry, and the coexistence of many states results from the disorder.
The states are statistically equivalent and can thus coexist over a full region of the phase diagram.
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Résumé
T H E O RY O F S I M P L E G L A S S E S
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 glasses.
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.
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