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.
|September 2017||November 2017|
Events for 27 October 2017
Tin Sulejmanpasic: Domain walls, anomalies and (de)confinement in quantum magnets and Yang-Mills theory
Quantum magnets in 2 spatial dimensions are effectively described by a 2+1D abelian-higgs theory with monopoles. Such materials support a phase of highly entangled ground state called the Valence Bond Solid phase, where spin-1/2 excitations are confined into spin-1 object. Moreover the ground state breaks lattice symmetries spontaneously and is therefore degenerate. The effective description has a striking resemblance to a version of QCD with adjoint matter, including the N=1 and N=2 Super Yang-Mills theory as well as theta=pi pure Yang-Mills theory. The common feature of all these theories is that they are confining and support domain walls which, in turn, are deconfining. The underlying reason for deconfinement are the underlying 't Hooft anomalies between various global symmetries of the theories.
Megan Griffin-Pickering: A mean field approach to the quasineutral limit for the Vlasov-Poisson equation
The Vlasov-Poisson system is a kinetic equation that models collisionless plasma. A plasma has a characteristic scale called the Debye length, which is typically much shorter than the scale of observation. In this case the plasma is called ‘quasineutral’. This motivates studying the limit in which the ratio between the Debye length and the observation scale tends to zero. Under this scaling, the formal limit of the Vlasov-Poisson system is the Kinetic Isothermal Euler system. The Vlasov-Poisson system itself can formally be derived as the limit of a system of ODEs describing the dynamics of a system of N interacting particles, as the number of particles approaches infinity. The rigorous justification of this mean field limit remains an open problem. In this talk I will present recent joint work with Mikaela Iacobelli, in which we derive the Kinetic Isothermal Euler system from a regularised particle model. Our approach uses a combined mean field and quasineutral limit.
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