Berlin 2005 – wissenschaftliches Programm

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SYRS: Renormalization and Scaling

SYRS 2: SYRS II

SYRS 2.4: Hauptvortrag

Samstag, 5. März 2005, 12:00–12:30, TU H3010

Universality classes in coarsening — •Benjamin Vollmayr-Lee — Department of Physics, Bucknell University, Lewisburg PA 17837, USA

Coarsening systems, such as the phase separation dynamics that follows a rapid quench into an unstable region of the phase diagram, exhibit critical-like behavior. At late times, the system evolves into a self-similar state with a length scale that grows as a power of time L∼ t^α. This growth exponent is highly universal, depending only on conservation laws and the nature of the order parameter. A dynamical renormalization group fixed point provides the natural scenario for understanding these features, but unfortunately no systematic RG approach exists for this problem. Further, recent exact solutions have made clear that the universality classes for the growth exponent and the correlation function differ. We are then faced with the problem of determining universality classes for a strong coupling RG fixed point. I will present a survey of the available results, a strategy for how to proceed, and a conjecture for coarsening universality classes.