The Phase Transition Of Atomic Chain In The One-dimensional Lattice

Over the last decade, tribology has been developing rapidly, remarkable developments in nanotechnology, too. Simultaneously, tremendous advances in computing methodology (molecular dynamics technique, MDT) have supplying very detailed information on the atomic scale for realistic sliding systems. One of the simple but very useful models is the Frenkel-Kontorova(FK) model which has been used in the nano-tribology extensively.There are four chapters in the dissertation. The paper is organized as following: in chapter I, the development and prosperity of the nano-tribology is briefly introduced. One of the most important techniques called the MDT (molecular dynamics technique) will be reviewed, too. In chapter II, the commensurate-incommensurate (CⅠ) transitions of the FK model is introduced. In chapter III, by using the MDT, the application of the one dimensional FK model in the nano-tribolody will be presented. The obtained results have shown:(1) the state of motion of the one-dimensional atomic chain is sensitive to the initial velocity of the boundary atoms, three phases could be observed in our simulation, harmonic phase when v<vi, chaotic phase when v1<v<v2uniformity phase when v>v2.(2) Two phase velocities are strongly influenced by the number of atoms and the depth of the substrate potential.