Introduction to the dynamics of disordered systems: Equilibrium and gradient descent

This paper contains the lecture notes of the short courses given by one of us (F.Z.) at the summer school Fundamental Problems in Statistical Physics XV, held in Brunico, Italy, in July 2021, and, just before that, at the summer school Glassy Systems and Inter-Disciplinary Applications, held in Carg...

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Published inPhysica A Vol. 631; p. 128152
Main Authors Folena, Giampaolo, Manacorda, Alessandro, Zamponi, Francesco
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2023
Elsevier
Subjects
Complex landscapes
Disordered systems
Glass transition
Gradient descent
Metastability
Physics
Spin glasses
Glass transition
Gradient descent
Spin glasses
Disordered systems
Complex landscapes
Metastability
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ISSN0378-4371
0378-4371
DOI10.1016/j.physa.2022.128152

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Summary:This paper contains the lecture notes of the short courses given by one of us (F.Z.) at the summer school Fundamental Problems in Statistical Physics XV, held in Brunico, Italy, in July 2021, and, just before that, at the summer school Glassy Systems and Inter-Disciplinary Applications, held in Cargese, France, in June 2021. The course was a short introductory overview of the dynamics of disordered systems, focused in particular on the equilibrium dynamics (with the associated glass transition), and on the simplest case of off-equilibrium dynamics, namely gradient descent. A few selected topics (and references) are chosen, based on the authors’ own taste and competences, and on pedagogical reasons, without aiming at a complete review of the subject.
ISSN:0378-4371
0378-4371
DOI:10.1016/j.physa.2022.128152