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SUMMARY:Resolving the cascade bottleneck in vortex-line turbulence - Kerr\
 , RM (Warwick)
DTSTART:20081001T083000Z
DTEND:20081001T090000Z
UID:TALK13851@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Both in many superfluid experimental situations and simulation
 s of a 3D hard-core interaction model\, it is found that the vortex line l
 ength in superfluid turbulence decays in a manner consistent with classica
 l turbulence.  Two decay mechanisms have been proposed\, Kelvin wave emiss
 ion along lines and phonon radiation at small scales.  It has been suggest
 ed that both would require a Kelvin wave cascade\, which theory says canno
 t reach the smallest scales due to a bottleneck.  In this presentation we 
 will discuss a new approach using a recent quaterionic formulation of the 
 Euler equations\, coupled with the local induction approximation.  Without
  the extra quaterionic terms It can be shown that if there are sharp recon
 nections\, the above scenario occurs. But with the extra terms\, the direc
 tion of propagation of nonlinear waves is reversed\, there is a cascade to
  the smallest scales that could create phonons\, and the paradox can be re
 solved.
LOCATION:Seminar Room 1\, Newton Institute
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