Introduction to Mode Coupling Theory I
- Event time: 2:00pm
- Event date: 13th May 2008
- Speaker: Oliver Henrich (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Mode Coupling Theory (MCT) proves to be a successful though idealized approach to describe some phenomena related to the glass transition in supercooled liquids. Close to the transition point correlation functions exhibit a stretched-exponential relaxation and a time-temperature superposition principle, which emerge as natural results of the theory. Furthermore MCT predicted the existence of so called 'attractive glasses', which were found a few years later in local experiments. This first part will comprise a brief motivation, why correlation functions are useful instruments for studying dynamics of liquids on a microscopic scale. The main part will consist of the Zwanzig-Mori projection operator formalism, which allows to derive equations of motion for correlation functions in a systematic way. As for an illustrative application we will glance at the simple fluid and derive the relaxation equation for density fluctuations - the central quantity of interest in MCT.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..