This workshop focuses on complexity of dynamics and kinetics in
reactions from small to large systems in terms of the underlying
multidimensional dynamic, phase space structure. Dynamic inhomogeneity
of phase space is known to often result in non-RRKM behavior in chemical
reactions, but the underlying mechanism has not been well established
yet in the language of phase space for many-dimensional reacting
systems. One of the key concepts is the so-called normally hyperbolic
invariant manifold (NHIM) which mediates chemical reactions in a
deterministic fashion even in a sea of chaos, and thermal fluctuation.
The NHIM takes the place of the periodic orbit dividing surface (PODS)
which is one of the most succeeded concepts developed several decades
ago for low dimensional systems that enabled us to resolve the complex
behavior in reaction dynamics. However, there yet exist many problems to
be resolved for NHIM. For example, how does NHIM break down (or in the
other term, how is selectivity of reactions spoiled) as an increase of
energy, what is the key phase space structure for reactions through
higher-index saddles, what is the corresponding counterpart in
dissipative Langevin systems or quantum mechanics, how can one make use
of these geometrical objects to design the laser field that controls
reactions in applications, how one can extract the NHIM or the stable/
unstable manifolds from experimental time series? These are just some of
the subjects to be resolved.
This workshop is aimed at having an interdisciplinary meeting that makes
researchers in different fields (from mathematics, chemistry, nonlinear
and biological physics) get together to tackle such new paradigm, and
exploring the new, exciting, open questions, by stirring different
disciplines. The time slot for each speaker is about one hour including
30 minutes interactive discussions with the audience. The program
through a week is usually not fully occupied and allows the participants
to exchange ideas more in detail and think new possible collaborations
during the meeting.