Numerical studies of the extended two-chain model of friction

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 $\epsilon$ of the Lennard-Jones i...

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Bibliographic Details
Main Authors Einax, M, Trimper, S, Hoeche, H. -R, Schulz, M
Format Journal Article
LanguageEnglish
Published 26.04.2000
Subjects
Physics - Materials Science
Physics - Statistical Mechanics
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Summary: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 $\epsilon$ of the Lennard-Jones interaction between the both harmonic chains increased beyond a critical value $\epsilon_c$. 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.
DOI:10.48550/arxiv.cond-mat/0004446