Simulating rare events in dynamical processes
Lab. Matière et Systèmes complexes, Université Paris Diderot
Mon, Oct. 10th 2011, 14:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Atypical trajectories often play a crucial roles in dynamical systems.
For instance, resonances and separatrices determine the fate of
planetary systems, and localized objects like solitons and breathers
provide mechanisms of energy transport in nonlinear systems such as
Bose-Einstein condensates and biological molecules. I will present a
simulation method to simulate such rare trajectories in an efficient,
accelerated way and show how this method gives access to central
quantities in non-equilibrium statistical mechanics: the large deviation
functions. \ par The first part of my talk will focus on applications in the field of
dynamical systems whereas the second part will deal with standard
problems of non-equilibrium statistical mechanics, such as exclusion
processes and absorbing phase transitions.