Singularities for dynamical arrest in disordered systems

It will be shown how attraction and repulsion among interacting particles can lead to rich dynamical scenarios including glass transitions, gel transitions, and glass-glass transitions. The transition diagram is explained by the topologically stable singularities of the A_ℓ hierarchy. These singularities arise from the microscopic equations of motion and allow for asymptotic solutions. Close to glass-glass transitions asymptotic solutions are identified in results from computer simulation. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)