Reaction Kinetics Based on Time-Energy Uncertainty Principle 9789811996726, 9789811996733

Table of contents :
Translators’ Preface
References
Preface to the English Version
Preface to the Original Japanese Version
Contents
About the Author and His Bibliography
Part I Basis for Construction of Our Reaction Kinetics
1 What is Reaction Kinetics as a Scientific Cognition?—Toward Innovating Conventional Reaction Kinetics
1.1 Introduction
1.2 Hierarchical and Historical Development of World—Our Cognition
1.3 Scientific Cognition—Axioms of Objectivity and Criteria of Truthfulness
1.4 Progress and Innovation in Scientific Cognition
1.5 Reconstruction of World in Terms of Our Concepts
1.6 Science and Mathematics
1.7 Hierarchy and Conservation Laws
1.8 Reaction Kinetics and Description Systems
1.8.1 Logic of Quantum Mechanics
1.8.2 Logic of Classical Mechanics
1.8.3 Logic of Thermodynamics
1.8.4 Quantum Mechanics, Classical Mechanics, and Thermodynamics—Statistical Physics
1.8.5 Quantum and Classical Phenomena—Criteria of Distinction
1.8.6 Classical and Quantum Fluctuations—Criteria of Distinction
1.8.7 Certainty and Uncertainty—Distinction and Combination
1.8.8 “Micro” and “Macro”—Connecting Factors
1.8.9 Stationarity and Equilibrium
1.8.10 Reversibility and Irreversibility
1.8.11 Continuity and Discontinuity
1.8.12 Classification of Physical Quantities
References
2 Critique of the “Theory of Rate Processes”
2.1 Critique of the Absolute Reaction Kinetics
2.1.1 Application Fields of the Absolute Reaction Kinetics cf. [1, pp. 1–2]
2.1.2 Assumption of Definiteness in Energy cf. [1, pp. 2–5, pp. 62–84, pp. 91–93]
2.1.3 Fundamental Laws Predicting Directionality of Irreversible Change cf. [1, pp. 185–187]
2.1.4 Assumption of Equilibrium in Transition State cf. [1, pp. 13–14, pp. 100–107, p. 185]
2.1.5 Problems Related to Hierarchy in Cognition
2.1.6 Problems on Theoretical Consistency as Science
2.2 Critique of Nucleation Theory
2.2.1 Basic Features in Concept of Nucleation in Precipitation
2.2.2 Problems of Nucleation Theory
References
Part II Formulation of Our Reaction Kinetics
3 Physical Formulation of Our Theory
3.1 Two Approaches Related to Transition States
3.1.1 Particles Traveling Through a Square Potential
3.1.2 Perturbation and Uncertainty State
3.1.3 Transition State: Characteristics and Related Problems
3.2 Adoption of New Principle; Uncertainty Relation
3.2.1 Transition State and Uncertainty Relation
3.2.2 Application of Uncertainty Principle Δt cdotΔE .5-.5.5-.5.5-.5.5-.5hbar to Our Reaction Kinetics
References
4 Mathematical Formulation of Our Theory
4.1 Uncertainty Relation
4.1.1 Duality of Matter and Two Uncertainty Relations
4.1.2 Absence of Fluctuation and Eigenvalue Equations
4.1.3 Wave Packet and Uncertainty Relation Δt cdotΔE .5-.5.5-.5.5-.5.5-.5hbar
4.2 Thermal Activation in Phase Transformations and Chemical Reactions
4.2.1 Interpretation of Thermal Activation Based on Uncertainty Relation, Δt cdotΔE .5-.5.5-.5.5-.5.5-.5hbar
4.2.2 Lifetime and Reaction Rate
4.2.3 Derivation of Arrhenius Equation
4.2.4 Critique of Concept of Thermal Activation and Arrhenius Equation
References
Part III Application and Characteristics of Our Reaction Kinetics
5 Application of Our Reaction Kinetics to Simple Systems
5.1 Diffusion
5.2 Melting and Boiling of Metals
5.3 Generalization of Johnson-Mehl Equation and Application
5.4 Graphitization of Cementite by Impact Deformation
5.5 Further Applications
References
6 Characteristics of Our Reaction Kinetics
6.1 Comparison with Conventional Theories
6.1.1 Scope of Reaction Kinetics
6.1.2 Assumption of Definiteness in Energy
6.1.3 Fundamental Laws Giving Directionality of Change
6.1.4 Equilibrium Assumption in Transition States
6.1.5 Problems About Hierarchical Perspective
6.1.6 Problems as Theoretical System
6.1.7 Criteria of Theoretical Transformation
6.2 Worldview of Our Reaction Kinetics—Dialectical Worldview
References
Postscript