Turbulence, Universality and Emergence

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MCMP

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Colloquium Mathematical Philosophy, Margaret Morrison (Toronto) gives a talk at the MCMP Colloquium (3 February, 2016) titled "Turbulence, Universality and Emergence". Abstract: Turbulent flows are paradigm cases of complex systems where multi-scale modelling is required. The fundamental problems in the field are strong fluctuations and couplings – problems that are also present in condensed matter physics (CMP) and field theory. Like the latter two areas of physics, renormalization group methods have been used to treat some of the theoretical difficulties with turbulent flows. However, unlike CMP where universality and emergence is, in some sense, reasonably understood, it is less than straightforward in cases of turbulence. I examine some of these issues, in particular the relation between multi-scale modelling and emergence, in an attempt to clarify how or even whether a notion of emergence might be applicable in the context of turbulent flows.