Numerical studies of the extended two-chain model of friction
Abstract
We investigate numerically a simple microscopic model to describe wearless dry friction between atomically flat contact interfaces without thermal fluctuations (T=0K). The analysis of the incommensurate ground state shows a breaking of analyticity when the amplitude ε of the Lennard-Jones interaction between the both harmonic chains increased beyond a critical value εc. By the introduction of a suitable order parameter and using a finite size scaling we could show that the breaking of analyticity is a second order phase transition. This transition is often called Aubry transition. By applying of an uniform external force Fex we have determined the critical force of static friction Fc above a sliding motion occurs.
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