|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
The dynamics of conservative charged molecular strands
If you have a question about this talk, please contact Mustapha Amrani.
Topological Dynamics in the Physical and Biological Sciences
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 are nonlocal when the screened Coulomb interactions, or Lennard-Jones potentials between pairs of charges, are included. The nonlocal dynamics 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 equations recover the classical Kirchhoff theory of elastic rods. The motion equations in the convective representation are shown to arise by a classical Lagrangian reduction associated 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 obtained by reduction of the canonical symplectic structure on the phase space. Time permitting, the dynamics of multibouquets will also be presented.
This talk is part of the Isaac Newton Institute Seminar Series series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsEntrepreneurship Centre at Cambridge Judge Business School Cambridge Institute for Language Research events Department of Medicine
Other talksPerceptual decision-making: models of the decision-making process and formulation of uncertainty Monitoring and Modelling Cast Iron Tunnel Linings Listening to the brain: sonification of EEGs The Creative Turn: Fostering Creativities in Secondary Schools, an International Study tba Is the crystallisation of pharmaceutical molecules controlled by thermodynamics or kinetics?