MERCREDI 2 JUIN 2010
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

P. J. Morrison
Department of Physics and Institute for Fusion Studies
The University of Texas at Austin, Austin, TX, 78712, USA
http://www.ph.utexas.edu/~morrison/

Title: Hamiltonian-Dirac Simulated Annealing:
Application to the Calculation of Vortex States

Abstract: A simulated annealing method for calculating stationary
states for models that describe continuous media is proposed. The
method is based on the noncanonical Hamiltonian or Poisson bracket
(Poisson manifold) formulation of media, which is used to construct
Dirac brackets with desired constraints, and symmetric brackets that
cause metriplectic relaxation obeying the desired constraints. The
method is applied to two-dimensional vortex dynamics and a variety of
numerical examples are given, including the calculation of monopole
and dipole vortex states. Joint work with G. R. Flierl of MIT.