Dynamics and Friction at Incommensurate Contacting Surfaces

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We study the mechanisms for dissipation of mechanical energy during the sliding of two bodies against each other, namely the origin of friction at an atomic scale. We consider the most likely case of incommensurate contacting lattices. For this purpose, we study the dynamics of an infinite incommensurate chain onto a periodic lattice, modeled by the Frenkel Kontorova Hamiltonian with initial kinetic energy. By means of numerical and analytical results we have shown that transfer of translational energy from the center of mass to internal vibrations (heat) occurs via a novel kind of dissipative parametric resonances involving several resonant phonons. We review these results focusing on the computational aspects related to incommensurate structures. Here we show that the above mechanism leads to thermal equilibrium via a dynamical transition which is characterized by a redistribution of the phonon modes from a oating to a pinned state, analogous to the Aubry transition of the static model.

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Journal: TechConnect Briefs
Volume: 2, Technical Proceedings of the 2001 International Conference on Computational Nanoscience and Nanotechnology
Published: March 19, 2001
Pages: 95 - 95
Industry sector: Advanced Materials & Manufacturing
Topic: Informatics, Modeling & Simulation
ISBN: 0-9708275-3-9