50 years of frustration: a personal summary
This talk is not about the frustration you might experience as a student or researcher. I will give an overview of the theory of spin glasses and frustrated systems. First experimental observations go back to Cannella and Mydosh (1972). In 1975 (50 years ago), two theoretical papers were published, one by Edwards and Anderson ("Theory of spin glasses") and the other by Sherrington and Kirkpatrick ("Solvable model of a Spin-Glass"), which together would set the future for this field.
As David Sherrington's former student, I will briefly present the EA and SK models, and describe how the replica trick can be used to obtain S and K's solution to their model. This solution leads to a negative entropy at zero temperature, which is fundamentally impossible for systems with discrete spins. Thus there must have been a principal procedural error in SK's paper. The puzzle was solved by Parisi in 1980 who introduced the concept of replica symmetry breaking. This led to the realisation that a great multiplicity of equilibrium states co-exist in frustrated systems and further properties such as ultrametricity and anomalous dynamics.
Following the Parisi solution the interest exploded, with applications in many different areas, including neural networks, models of financial markets and ecology. I will summarise some of these applications.
Presential in seminar room, zoom https://us06web.zoom.us/j/88407311208?pwd=aRDvYJILaJHg671UaZlVJRUDDT1Fi6.1
This IFISC Seminar will be broadcasted in the following zoom link:
Coffee and cookies will be served 15 minutes before the start of the seminar
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