Modeling Fast Hamiltonian Chaos by Suitable Stochastic Processes

Wednesday, April 13, 2005 - 9:30am - 10:30am
EE/CS 3-180
Anja Riegert (Max-Planck-Institut für Physik Komplexer Systeme)
Projection operator techniques known from nonequilibrium
statistical mechanics
are applied to eliminate fast chaotic degrees of freedom in a
Hamiltonian system. A perturbative approach, involving a Markov
approximation, yields a Fokker-Planck equation in the slow
subspace which
respects the conservation of energy. A numerical and analytical
analysis of
suitable model systems demonstrates the feasibility of
obtaining the system
specific drift and diffusion terms and the accuracy of the
approximation on all time scales. Non-Markovian and
non-Gaussian features of
the fast variables are negligible.