Mikito Toda
Japanese
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Address
 Complex System Laboratory, Department of Physucs, Faculty of Science
 Nara Women's University
 Nara, 6308506, Japan
Research Topics
 MultiDimensional Chaos
 Quantum Chaos and Quantum Information
 Foundation of Statistical Physics
 Dynamics of Chemical Reactions
 Nonequilibrium Aspects of Life
Lectures(2009)
 Statistical Physics I
 Statistical Physics II
 Pattern Formation
 Introduction to Nonlinear Science
 Foundation of Statistical Mechanics : Post Graduate Cource
Key Papers

Random Matrix Theory of Singular Values of Rectangular Complex Matrices
I:Exact Formula of OneBody Distribution Function in FixedTrace Ensemble
Accepted and to be published in Annals of Physics,
S.Adachi, H.Kubotani and M.Toda.

Exact Formula of the Distribution of Schmidt Eigenvalues for Dynamical
Formation of Entanglement in Quantum Chaos,
Phys.Rev.Lett.,100,240501(4 pages), 2008,
H.Kubotani, S.Adachi and M.Toda.

Bifurcation of noreturn transition states in manybody chemical reactions,
J.Chem.Phys.,130,124116(7 pages), 2009
CB Li, M.Toda and T.Komatsuzaki.

Fractional Behavior in Multidimensional Hamiltonian Systems Describing Reactions,
Phys.Rev.,E76,056205(14 pages), 2007,
A.Shojiguchi, CB Li, T.Komatsuzaki and M.Toda.

Dimension Reduction for Extracting Geometrical Structure of
Multidimensional Phase Space: Application to Fast Energy Exchange in the
Reaction ${\rm O(1D)}+{\rm N}_2{\rm O}\rightarrow{\rm NO}+{\rm NO}$,
Phys.Rev.,A75,022714(11 pages), 2007,
S.Kawai, Y.Fujimura, O.Kajimoto, T.Yamashita, CB Li, T.Komatsuzaki and M.Toda.

Universality in Dynamical Formation of Entanglement in Quantum Chaos,
Phys.Rev.,A74,032314(5 pages), 2006,
H.Kubotani, M.Toda and S.Adachi.

Definability of Noreturn Transition States in High Energy Regime above
Reaction Threshold,
Phys.Rev.Lett.,97,028302(4 pages), 2006,
CB Li, A. Shojiguchi, M.Toda and T.Komatsuzaki.

Wavelet Analysis and Arnold Web Picture for Detecting
Energy Transfer in a Hamiltonian Dynamical System,
Laser Physics, Vol.17, 10971106, 2006,
A.Shojiguchi, CB. Li T.Komastuzaki and M.Toda.
 Global Aspects of Chemical reactions in Multidimensional Phase Space
Advances in Chemical Physics vol.130(2005)Part A,337399
M.Toda
 Dynamics of Chemical Reactions and Chaos
Advances in Chemical Physics vol.123(2002)153198
M.Toda
 Crisis in Chaotic Scattering of a Highly Excited van der Waals Complex
Physical Review Letters Vol.74(1995)26702673
M.Toda
 Phase Retrieval Problem in Quantum Chaos and Its Relation to the Origin of Irreversibility I
Physica D59(1992)121141
M.Toda
 Dynamical Aspects of QuantumClassical Correspondence in Quantum Chaos
Progress of Theoretical Physics Supplement vol.98(1989)323375
M.Toda,S.Adachi and K.Ikeda
Books
 Geometric Structures of Phase Space in MultiDimensional Chaos:
Applications to Chemical Reactions in Complex Systems
Advances in Chemical Physics vol.130(2005)Part A&B
Edited by M.Toda, T.Komatsuzaki, T.Konishi, R.S.Berry and S.A.Rice
These volumes are the proceeding of the YITP international symposium
explained as follows.
Other Recent Papers

Dynamical Foundation and Limitaions of Statsistical Reaction Thoery,
Communications in Nonlinear Science and Numerical Simulation,Vol.13,857867, 2008,
A.Shojiguchi, CB Li, T.Komatsuzaki and M.Toda.

Fractional Behavior in Nonergodic Reaction Processes of Isomerization,
Phys.Rev.,E75,035204(R), 4 pages, 2007,
A.Shojiguchi, CB Li, T.Komatsuzaki and M.Toda.

Dynamical Hierarchy in Transition States of Reactions,
Few Body Systems, Vol 38,173179, 2006,
CB. Li. A.Shojiguchi, M.Toda and T.Komatsuzaki.
 Phase Space Reaction Network on a Multisaddle Energy Landscape:HCN Isomerization
Journal of Chemical Physics 123(2005)184301
ChunBiu Li, Y.Matsunaga, M.Toda, T.Komatsuzaki
5th Dynamics Days Asia Pacific (DDAP5 )
From 5th to 12th Sept. 2008 at Nara Prefectual New Public Hall:
Homepage of DDAP5
YITP INTERNATIONAL SYMPOSIUM ON
Geometrical Structures of Phase Space in MultiDimensional Chaos:
Applications to Chemical Reaction Dynamics in Complex Systems
 Date
26th Oct. 2003 1st Nov. 2003
 place
Kyoto University, Yukawa Institute
 Organizing Comettee
Mikito Toda(Nara Women's Univ.),Tamiki
Komatsuzaki(Kobe Univ.), Tetsuro Konishi(Nagoya Univ.)
R.S.Berry(Chicago University),S.A.Rice(Chicago University)
 Abstract
Chemical reactions are dynamical phenomena where
nonlinear oscillations are strongly coupled with each other.
Therefore, chaos in dynamical systems plays a crucial role
in studying chemical reactions. In particular, reactions
involving macromolecules such as protein folding are important
examples of dynamical systems with many degrees of freedom.
Thus, studies of these reactions from this point of view shed
a new light in understanding their efficiency and seeking
the possibility of manipulating these reactions.
In this conference, we will focus on the following subjects.
(1) transition state theory revisited from dynamical point of view,
a historical perspective of the study.
(2) how to analyze the phase space structure of Hamiltonian systems
with many degrees of freedom, in particular, normally hyperbolic
invariant manifolds, heteroclinic intersections between
their stable and unstable manifolds and Arnold Webs.
(3) how to relate the phase space structure of the system
to the reaction dynamics.
(4) dynamics of systems with internal degrees of freedom, in particular,
bottleneck of energy flow due to the mismatch of time scales.
(5) how to understand many dimensional dynamics of clusters,
liquid and biological molecules from viewpoint of dynamical
system theories. e.g., how to extract information of complex
dynamics from a given time series information.
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