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DTSTART:19960101T000000 END:STANDARD BEGIN:STANDARD TZNAME:GMT TZOFFSETFROM:+0100 TZOFFSETTO:+0000 DTSTART:19961027T020000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260626T003928Z DTSTART;VALUE=DATE-TIME:20161020T130000 DTEND;VALUE=DATE-TIME:20161020T140000 SUMMARY:Theory Seminar: Alexander Taylor (Bristol) TZID:Europe/London UID:20161020-094d4345576c31f201578ed626902315@warwick.ac.uk CREATED:20161004T083621Z DESCRIPTION:Geometry and topology of vortices in random quantum eigenfunc tions Disordered complex 3D scalar wave fields typically contain a dense tangle of nodal lines (quantized vortices)\, which are important in div erse physical wave systems including turbulent superfluids\, optical vol ume speckle\, the quantum eigenfunctions of chaotic 3D cavities\, and li quid crystal phases. Based on extensive numerical simulations these noda l tangles are known to have fractal properties on large scales\, althoug h more subtle topological quantities such as the probability of knotted or linked vortices are sensitive to the details of the model. We numeric ally generate many examples of wave chaos in three random systems at fix ed energy (3D cube with periodic boundary conditions\, 3-sphere and 3D h armonic oscillator)\, analysing aspects of their statistical geometry an d identifying the knot types of the vortex curves which appear. Knots te nd to occur with high probability even at comparatively low energies\, a nd the statistics of knot complexity vary significantly amongst the thre e systems. Furthermore\, the different symmetries and boundary condition s of these systems strongly affect the knotted conformations that can oc cur\, and we discuss how this relates to the statistics of knotting with mode count in different systems. LOCATION:PS1.28 URL:http://www.bris.ac.uk/physics/people/alexander-j-taylor/index.html ATTACH:http://www.bris.ac.uk/physics/people/alexander-j-taylor/index.html CATEGORIES:Theory Seminar LAST-MODIFIED:20161004T084020Z ORGANIZER;CN=Gareth Alexander: END:VEVENT END:VCALENDAR