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In recent years, nano-tribology has achieved rapid development . Nano tribology theory analysis of the main means of molecular dynamics simulation , the Frenkel - Kontorova ( FK ) model compared with molecular dynamics simulations provide a good research tool . The first chapter a brief overview of the development of nano-tribology and its research methods . Chapter II introduced FK model based on the use of two-dimensional FK model to study the impact of the number of atoms of static friction . Found incommensurate cases , malocclusion angle of θ = O , , o , the system of static friction with the atomic number has nothing to do ; θ = O , o , static friction decreases with the increase of the number of atoms . The third chapter studies the microscopic mechanism of dynamic friction and static friction . Found when the external driving force adiabatic increase the two static friction force F s1 and F , s2 < / sub > found when the external driving force adiabatic reduce both dynamic friction force F < sub> b1 and F b2 . Also found that the outer driving force Fext, wrong aggregate angle θ, winding number (b / a), the coupling coefficient K F s1 , F s2 , F b1 < / sub > , F b2 . Get the F s1 F s2 < / sub >, F b1 F b2 analytical results with the numerical results obtained very well. F b1 , F b2 with the wrong the close angle θ changes is not fractal F s1 .
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