BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The dynamics of conservative charged molecular strands - Ratiu\, T
  (Ecole Polytechnique\, Lausanne)
DTSTART:20121129T113000Z
DTEND:20121129T123000Z
UID:TALK41715@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The equations of motion are derived for the dynamical folding 
 of charged molecular strands\, modeled as flexible continuous filamentary 
 distributions of interacting rigid charge conformations. These equations a
 re nonlocal when the screened Coulomb interactions\, or Lennard-Jones pote
 ntials between pairs of charges\, are included. The nonlocal dynamics is d
 erived in the convective representation of continuum motion by using modif
 ied Euler-Poincar and Hamilton-Pontryagin variational formulations. In the
  absence of nonlocal interactions\, the equations recover the classical Ki
 rchhoff theory of elastic rods. The motion equations in the convective rep
 resentation are shown to arise by a classical Lagrangian reduction associa
 ted to the symmetry group of the system. This approach uses the process of
  affine Euler-Poincar reduction initially developed for complex fluids. On
  the Hamiltonian side\, the Poisson bracket of the molecular strand is obt
 ained by reduction of the canonical symplectic structure on the phase spac
 e. Time permitting\, the dynamics of multibouquets will also be presented.
 \n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR