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 model7. 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 Skryť popis