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Friction at the Atomic Level: Atomistic Approaches in Tribology

ISBN: 978-3-527-41169-6
320 pages
February 2018
Friction at the Atomic Level: Atomistic Approaches in Tribology (3527411690) cover image


Written by one of the most distinguished scientists and a pioneer in this field, this monograph represents a stand-alone, concise guide to friction at the atomic level. It brings together hitherto widely-scattered information in one single source, and is the first to explain the nature of friction in terms of atomic mechanisms. In addition to his detailed description on modeling and simulation, the author stresses stresses experimental approaches like AFM techniques for verification. In this respect the book will benefit the whole nanotribology community, from graduate students who want to get the basics right up to researchers specializing in mechanical engineering, materials science, physics and chemistry.
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Table of Contents

1. Classical theory of friction
1.1 Law of friction
1.2 Surface roughness model
1.3 Cohesive energy and adhesion model
1.4 Mechanical adiabaticity of atomic motion and energy dissipation in friction

2. Atomistic model of friction
2.1 Single atom model: Tomlinson model
2.2 Many atom model: Frenkel-Kontorova model
2.3 Realistic model and interatomic potentials

3. Topological description of friction -static and dynamic friction-
3.1 Theoretical preliminaries
3.2 The case of unrelaxed upper body
3.3 A more realistic case: A relaxed upper body
3.4 Friction transition and Tomlinson model

4. Atomistic origin of friction
4.1 Friction model
4.2 Static friction
4.3 Dynamic friction and energy dissipation

5. Superlubricity: a state of vanishing friction
5.1 Adiabatic motion of atoms and atomic arrangements at surfaces
5.2 Importance of high dimensionality
5.3 Energy recurrence phenomena

6. Friction diagram
6.1 Friction diagram of Frenkel-Kontorova model
6.4 Atomic-scale sliding friction of realistic model

7. Experimental approach for atomic-scale friction
7.1 Atomic force microscopy techniques for measuring friction
7.2 Verification of atomistic theory of friction by atomic force microscopy

Appendix A. Adiabatic theorem
Appendix B. Calculation of static friction force
Appendix C. Molecular dynamics
Appendix D. Chaos and atomistic friction
Appendix E. Lattice vibration
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Author Information

Motohisa Hirano is Professor at the Faculty of Science and Engineering of Hosei University, Japan. After his graduation from Nagoya University, he joined the Nippon Telegraph and Telephone Corporation. He obtained PhD degrees in engineering and science from the universities of Nagoya and Tokyo, respectively. Motohisa Hirano has authored more than 200 scientific publications on engineering and science on the atomistics of friction and nanotribology.
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