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...

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Bibliographic Details
Published inarXiv.org
Main Authors Einax, M, Trimper, S, H -R Hoeche, Schulz, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.04.2000
Subjects
Chains
Dry friction
Friction
Mathematical models
Order parameters
Phase transitions
Static friction
Variations
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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.
ISSN:2331-8422