WorkshopsThe role of symmetry in phase transitions
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Symmetries play a central role, in the theory of phase transitions. I will illustrate this for a variety of lattice spin systems where the spins take values in a symmetric space. The talk will then focus on recent results about a phase transition for spins which take values in a supersymmetric hyperboloid. This model is motivated by the study of random band matrices. It turns out that the analysis of our supersymmetric model is closely related to that of a random walk in a highly correlated random environment. The phase transition is characterized by a transition from localization to diffusion in 3D. This is joint work with M. Disertori and M. Zirnbauer.
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Thomas Spencer
2011-07-12
09:00:00 - 09:45:00
國際會議廳 , Astronomy and Mathematics Building
Symmetries play a central role, in the theory of phase transitions. I will illustrate this for a variety of lattice spin systems where the spins take values in a symmetric space. The talk will then focus on recent results about a phase transition for spins which take values in a supersymmetric hyperboloid. This model is motivated by the study of random band matrices. It turns out that the analysis of our supersymmetric model is closely related to that of a random walk in a highly correlated random environment. The phase transition is characterized by a transition from localization to diffusion in 3D. This is joint work with M. Disertori and M. Zirnbauer.
For material related to this talk, click here.