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Diffusion in Hamiltonian systemsMathematical Physics & Probability
|Speaker: ||Wojciech De Roeck, Heidelberg University|
|Location: ||1147 MSB|
|Start time: ||Wed, Feb 16 2011, 4:10PM|
Whereas Hamiltonian dynamics (be it described by Newton's or
Schrödinger's equation) is time-reversible, most phenomena in our
macroscopic world are clearly irreversible. On the level of
theoretical phyiscs, this dichotomy between micro and macro is
well-understood since the work of Boltzmann. However, the mathematical
questions it raises, remain largely unsolved. Despite progress in the
field of dynamical systems and quantum field theory, there are still
only a few systems in which we can prove that irreversible behaviour
like return to equilibrium, diffusion, friction, actually occur.
I will present an overview and some recent progress.