Replica Symmetry Breaking in Spin Glasses by Chandan Dasgupta

DISCUSSION MEETING : CELEBRATING THE SCIENCE OF GIORGIO PARISI (ONLINE)

ORGANIZERS : Chandan Dasgupta (ICTS-TIFR, India), Abhishek Dhar (ICTS-TIFR, India), Smarajit Karmakar (TIFR-Hyderabad, India) and Samriddhi Sankar Ray (ICTS-TIFR, India)

DATE : 15 December 2021 to 17 December 2021
VENUE : Online
The 2021 Nobel Prize in Physics was awarded, in part, to Giorgio Parisi of Sapienza University of Rome ``for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales.'' In a uniquely diverse career, Professor Parisi has made, and continues to make, pioneering contributions in several areas of statistical mechanics, quantum field theory, disordered and complex systems. This discussion meeting assembles experts to help understand the scale of Parisi's work in all these areas as well as place them in the context of the outstanding questions of today.

As a part of this discussion meeting, Giorgio Parisi will deliver the ICTS distinguished lecture on 16 December, 2021.

Speakers:

Roberto Benzi
Chandan Dasgupta
Irene Giardina
Smarajit Karmakar
Jorge Kurchan
Enzo Marinari
Marc Mezard
Giorgio Parisi
V. Ravindran
Srikanth Sastry
Herbert Spohn
Gilles Tarjus
Angelo Vulpiani
Spenta Wadia
Francesco Zamponi
Eligibility criteria: Registration is open to PhD students, advanced masters students, postdocs and other researchers/faculties working in related areas.
CONTACT US : program@icts.res.in
PROGRAM LINK : https://www.icts.res.in/discussion-meeting/csgp2021

Table of Contents (powered by https://videoken.com)
0:00:00 Start
0:00:10 Replica Symmetry Breaking in Spin Glasses
0:01:40 Awarded the Nobel Prize in Physics, 2021
0:04:42 Interacting spin systems
0:06:37 For J 0, antiferromagnetic ordering may occur
0:07:11 What are Spin Glasses?
0:11:06 Experimental results: (1) Cusp in the magnetic susceptibility
0:14:00 Frustration
0:17:04 Edwards-Anderson Model
0:19:48 Spin Glass Phase
0:20:09 Edwards-Anderson Model
0:22:34 Magnetic susceptibility
0:29:10 The Sherrington-Kirkpatrick Model
0:31:18 S-K Model (contd.)
0:35:28 Replica Symmetry Breaking (contd.
0:36:52 The Paris Solution
0:40:04 The Paris Solution (contd.)
0:41:48 Physical Interpretation of the Paris Solution
0:41:58 Thouless-Anderson-Palmer Equations
0:43:37 TAP Equations (contd.)
0:44:51 Physical interpretation of RSB G. Parisi, Phys Rev Lett 50, 1946 (1983)
0:47:36 Physical interpretation of RSB (contd.)
0:50:27 Ultrametricity: The valleys are arranged in a hierarchical tree-like ('ultrametric') structure
0:51:38 Predictions of the Paris solution have been confirmed from simulations.
0:52:41 Does the Paris solution explain experimentally observed behaviour in real spin glasses?
0:54:26 Dynamics: Slow relaxation, hysteresis, memory effects, aging, ...
0:54:37 Significance of the Paris Solution
0:56:22 Associative Memory: Retrieval of stored information from partial knowledge [content addressable memory]
0:56:28 Congratulations to Giorgio Parisi!
0:57:17 Q&A

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