Numerical studies of the extended two-chain model of friction

M. Einax; S. Trimper; H. -R. Hoeche; M. Schulz

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Numerical studies of the extended two-chain model of friction

M. Einax·S. Trimper·H. -R. Hoeche·M. Schulz

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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 $ε_c$. 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 $F^{ex}$ we have determined the critical force of static friction $F_c$ above a sliding motion occurs.

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M. Einax, S. Trimper, H. -R. Hoeche, M. Schulz. 2000-04-28. Numerical studies of the extended two-chain model of friction. https://arxiv.org/abs/cond-mat/0004446

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