Mobility and diffusivity in a generalized Frenkel-Kontorova model
نویسندگان
چکیده
منابع مشابه
Mobility and diffusivity in a generalized Frenkel-Kontorova model.
Molecular dynamics simulations are used to investigate the atomic mobility and diffusivity of a generalized Frenkel-Kontorova model which takes into account anharmonic (exponential) interaction of atoms subjected to a threedimensional substrate potential periodic in two dimensions and nonconvex (Morse) in the third dimension. The numerical results are explained by a phenomenological theory whic...
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This paper gives a review of our recent work on the quantum Frenkel-Kontorova model. Using the squeezed state theory and the quantum Monte Carlo method, we have studied the effects of quantum fluctuations on the Aubry transition and the behavior of the ground state wave function. We found that quantum fluctuations renormalize the sinusoidal standard map to a sawtooth map. Although quantum fluct...
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A two-dimensional Frenkel-Kontorova model under a steady external force is used to study the nonlinear sliding friction between flat macroscopic surfaces with a lubricant layer in between. The nonequilibrium properties of the model are simulated by a Brownian molecular dynamics and results are obtained as a function of temperature and a microscopic friction parameter η.
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The incommensurate Frenkel-Kontorova model in its pinned phase is shown to be equivalent to a system with correlated disorder. This correlated disorder appears as dimer-type ‘‘defects’’ on appropriately decimated lattices describing the phonon modes of the system. As a consequence of the special resonance condition where the reflected waves from two sites of the dimer undergo destructive interf...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 1996
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.54.321