BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The dynamics of conservative charged molecular str
ands - Ratiu\, T (Ecole Polytechnique\, Lausanne)
DTSTART;TZID=Europe/London:20121129T113000
DTEND;TZID=Europe/London:20121129T123000
UID:TALK41715AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/41715
DESCRIPTION:The equations of motion are derived for the dynami
cal folding of charged molecular strands\, modeled
as flexible continuous filamentary distributions
of interacting rigid charge conformations. These e
quations are nonlocal when the screened Coulomb in
teractions\, or Lennard-Jones potentials between p
airs of charges\, are included. The nonlocal dynam
ics is derived in the convective representation of
continuum motion by using modified Euler-Poincar
and Hamilton-Pontryagin variational formulations.
In the absence of nonlocal interactions\, the equa
tions recover the classical Kirchhoff theory of el
astic rods. The motion equations in the convective
representation are shown to arise by a classical
Lagrangian reduction associated to the symmetry gr
oup of the system. This approach uses the process
of affine Euler-Poincar reduction initially develo
ped for complex fluids. On the Hamiltonian side\,
the Poisson bracket of the molecular strand is obt
ained by reduction of the canonical symplectic str
ucture on the phase space. Time permitting\, the d
ynamics of multibouquets will also be presented.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
END:VEVENT
END:VCALENDAR