Large Deviation Functions in the Dynamics of Glasses

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• Prof. Juan P. Garrahan, University of Nottingam
• Thursday 22 January 2009, 14:15-15:45
• TCM Seminar Room, Cavendish Laboratory.

If you have a question about this talk, please contact Joe Bhaseen.

A natural statistical mechanics formalism to study systems with complex dynamics is the large deviation function formalism, as devised by Ruelle, Derrida, Lebowitz and others. Large deviation functions are to dynamics what free energies are to thermodynamics. In this talk I will describe how to apply this formalism to the glass transition problem. I will show using large deviation function methods that simple models of glasses, the so-called kinetically constrained models, display a first-order phase transition in the space of trajectories. A manifestation is the phenomenon of dynamic heterogeneity. I will also describe how to calculate large deviation functions in atomistic models, via numerical techniques such as transition path sampling, and discuss the implications of this space-time transition scenario to the glass transition problem in general.

This talk is part of the TCM Blackboard Series series.

This talk is included in these lists:

• All Cavendish Laboratory Seminars
• Centre for Health Leadership and Enterprise
• Combined TCM Seminars and TCM blackboard seminar listing
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• ME Seminar
• Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
• PMRFPS's
• School of Physical Sciences
• TCM Blackboard Series
• TCM Seminar Room, Cavendish Laboratory
• Thin Film Magnetic Talks

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