THEORICAL STUDY ON FUNDAMENTAL THEORIES ON MULTI-DIMENSIONAL CHEMICALLY REACTING SYSTEMS

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In this International Scientific Research Program, notifying the multidimensionality of chemically reacting systems, the research was executed focusing the following two points : (a) they are time-dependent quantum dynamical processes and (b) nonlinear, nonequilibrium and nonstationary processes. First of all, (1) some theoretical models were constructed by coarse-graining such many-degrees-of-freedom systems, i. e. chemically reacting systems, presently. Further, (2) the emerging mechanism of the microscopic dissipative processes was clarified in the classical nonintegrable dynamical systems.1. Since Nagaoka was not able to go abroad, by e-mail for communication, the collaboration was promoted together with Dr. Gaspard with respect to the wave-function approach of quantum diffusion (the quantum state diffusion model), derived a non-markovian stochastic Schrodinger equation and applied it to the spin-boson model.2. During the visit of Tasaki to Free University of Brussels (Belgium) (Jun. 30 - Jul. 26, 1999), by collaboration with Dr. Gaspard, Tasaki has advanced the joint study with respect to the microscopic dissipative mechanism in the multibaker transformation including the energy coordinate and the spectral decomposition of the generating operator of the map showing intermittency.3. Nagaoka and Tasaki published some of the results obtained through the present research at some symposia and some as research articles.