An introduction to spin glasses
The concepts and theoretical methods developed from the study of spin glasses have found application in many areas, for example neural networks, optimisation problems, real glasses and polymers in a random medium. In this theory club talk I will try to shed light on some key concepts of spin glasses. It will not include any replica calculations - but will mention the approach and time permitting introduce the Parisi order parameter.The outline is as follows; 1. What is a spin glass? - examples of spin glasses - what are the essential ingredients - quenched vs thermal averages - the replica "trick" 2. Edwards Anderson model and order parameter 3. Free energy landscape and pure states - ergodicity breaking, pure states, symmetry breaking. - Ising ferromagnet vs Ising spin glass - where does the Parisi order parameter fit in?
This is a weekly series of informal talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..