Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

Copyright © 2005 John Wiley & Sons, Inc.

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

Editor(s): M. Toda, T. Komatsuzaki, T. Konishi, R. S. Berry, S. A. Rice

Published Online: 27 JAN 2005

Print ISBN: 9780471711582

Online ISBN: 9780471712534

DOI: 10.1002/0471712531

Series Editor(s): Stuart A. Rice

About this Book

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About The Product

Edited by Nobel Prize winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.

Volume 130 consists of three parts including:

Part I: Phase Space Geometry of Multi-dimensional Dynamical Systems and Reaction Processes

Part II Complex Dynamical Behavior in Clusters and Proteins, and Data Mining to Extract Information on Dynamics

Part III New directions in Multi-Dimensional Chaos and Evolutionary Reactions

Table of contents

    1. You have free access to this content
      Frontmatter (pages i–xxvi)

  2. Part I: Phase-Space Geometry of Multidimensional Dynamical Systems and Reaction Processes

    1. Chapter 1

      Classical, Semiclassical, and Quantum Mechanical Unimolecular Reaction Rate Theory (pages 1–142)

      Meishan Zhao, Jiangbin Gong and Stuart A. Rice

    2. Chapter 2

      Regularity in Chaotic Transitions on Two-Basin Landscapes (pages 143–170)

      Tamiki Komatsuzaki and R. Stephen Berry

    3. Chapter 3

      A New Look at the Transition State: Wigner's Dynamical Perspective Revisited (pages 171–216)

      Charles Jaffé, Shinnosuke Kawai, Jesús Palacián, Patricia Yanguas and Turgay Uzer

    4. Chapter 4

      Geometry of Phase-Space Transition States: Many Dimensions, Angular Momentum (pages 217–265)

      Laurent Wiesenfeld

    5. Chapter 5

      Intramolecular Dynamics Along Isomerization and Dissociation Pathways (pages 267–303)

      Marc Joyeux, Sergy Yu. Grebenshchikov, Jens Bredenbeck, Reinhard Schinke and Stavros C. Farantos

    6. Chapter 6

      Classical Coulomb Three-Body Problem (pages 305–335)

      Mitsusada M. Sano

    7. Chapter 7

      Global Aspects of Chemical Reactions in Multidimensional Phase Space (pages 337–399)

      Mikito Toda

    8. Chapter 8

      Classical Mechanism of Multidimensional Barrier Tunneling (pages 401–434)

      Kin'ya Takahashi and Kensuke S. Ikeda

    9. Chapter 9

      Coarse-Grained Picture for Controlling Quantum Chaos (pages 435–458)

      Toshiya Takami, Hiroshi Fujisaki and Takayuki Miyadera

  3. Part II: Complex Dynamical Behavior in Clusters and Proteins, and Data Mining to Extract Information on Dynamics

    1. Chapter 10

      Atomic Clusters: Powerful Tools to Probe Complex Dynamics (pages 1–24)

      R. Stephen Berry

    2. Chapter 11

      Temperature, Geometry, and Variational Structure in Microcanonical Ensemble for Structural Isomerization Dynamics of Clusters: A Multichannel Chemical Reaction beyond the Transition-State Concept (pages 25–85)

      Kazuo Takatsuka

    3. Chapter 12

      Effects of An Intrinsic Metric of Molecular Internal Space on Chemical Reaction Dynamics (pages 87–128)

      Tomohiro Yanao and Kazuo Takatsuka

    4. Chapter 13

      Onset Dynamics of Phase Transition in Ar7 (pages 129–153)

      Norihiro Shida

    5. Chapter 14

      Rapid Alloying in Binary Clusters: Microcluster As a Dynamic Material (pages 155–177)

      Yasushi Shimizu, Taizo Kobayashi, Kensuke S. Ikeda and Shin'ichi Sawada

    6. Chapter 15

      Vibrational Energy Relaxation (Ver) of a CD Stretching Mode in Cytochrome c (pages 179–203)

      Hiroshi Fujisaki, Lintao Bu and John E. Straub

    7. Chapter 16

      Heat Transport in Molecules and Reaction Kinetics: The Role of Quantum Energy Flow and Localization (pages 205–256)

      David M. Leitner

    8. Chapter 17

      Regularity in Chaotic Transitions on Multibasin Landscapes (pages 257–313)

      Tamiki Komatsuzaki, Kyoko Hoshino and Yasuhiro Matsunaga

    9. Chapter 18

      Nonmetric Multidimensional Scaling As a Data-Mining Tool: New Algorithm and New Targets (pages 315–351)

      Y-H. Taguchi and Yoshitsugu Oono

    10. Chapter 19

      Generalization of the Fluctuation–Dissipation Theorem for Excess Heat Production (pages 353–371)

      Hiroshi H. Hasegawa and Yoshikazu Ohtaki

  4. Part III: New Directions in Multidimensional Chaos and Evolutionary Reactions

    1. Chapter 20

      Slow Relaxation in Hamiltonian Systems with Internal Degrees of Freedom (pages 373–421)

      Akira Shudo and Shinji Saito

    2. Chapter 21

      Slow Dynamics in Multidimensional Phase Space: Arnold Model Revisited (pages 423–436)

      Tetsuro Konishi

    3. Chapter 22

      Structure of Resonances and Transport in Multidimensional Hamiltonian Dynamical Systems (pages 437–463)

      Seiichiro Honjo and Kunihiko Kaneko

    4. Chapter 23

      Multiergodicity and Nonstationarity in Generic Hamiltonian Dynamics (pages 465–475)

      Yoji Aizawa

    5. Chapter 24

      Relaxation and Diffusion in a Globally Coupled Hamiltonian System (pages 477–500)

      Yoshiyuki Y. Yamaguchi

    6. Chapter 25

      Finite-Time Lyapunov Exponents in Many-Dimensional Dynamical Systems (pages 501–518)

      Teruaki Okushima

    7. Chapter 26

      The Role of Chaos for Inert and Reacting Transport (pages 519–542)

      Massimo Cencini, Angelo Vulpiani and Davide Vergni

    8. Chapter 27

      On Recursive Production and Evolvability of Cells: Catalytic Reaction Network Approach (pages 543–598)

      Kunihiko Kaneko

    1. You have free access to this content
      Author Index (pages 459–485)

    1. You have free access to this content
      Subject Index (pages 487–542)

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