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.
Motohisa Hirano is Professor in the Department of Mathematical and Design Engineering. He worked for Nippon Telegraph and Telephone Corporation before taking up his present appointment at Gifu University. Professor Hirano has authored over 200 scientific publications on engineering and science on the atomistics of friction and nanotribology.
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