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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


Applied mathematics seminar: Modelling self-organisation in conducting fluids

Presented by Long Chen, Durham Univeristy
14 October 2020 13:00 in

Three years ago, we asked a simple question: how does large-scale organisation emerge in magnetohydrodynamics (MHD)? In this talk, I will review the progress we have made using a cocktail of novel approaches. First, I will show how a quasi-conserved quantity named the field line helicity (FLH) links to self-organisation. Then I will discuss various models which we constructed to help us understand better the evolution of topology: 1) unstirring a 2D scalar using effective magnetic relaxation, or variational methods, 2) 3D & 2D magnetic reconnection simulations for comparison, 3) 1D effective model with a focus on local reconnection. These approaches are complementary as each is designed with a specific property in mind: 1) to test if pure advection plays a role in the simplification of FLH, 2) to analyse the change of magnetic structures in plasmas, 3) to test whether self-organisation in MHD behaves as an emerging phenomena. One benefit of using these drastically different models is that we can gain deeper insight into a non-trivial physical process. Besides presenting the results, I will also discuss the limitations and setbacks, and then conclude with possible future plans.

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