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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Published in | arXiv.org |
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Main Authors | , , , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
28.04.2000
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 2331-8422 |