Numerical studies of the extended twochain 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 $\epsilon$ of the LennardJones 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2000
 arXiv:
 arXiv:condmat/0004446
 Bibcode:
 2000cond.mat..4446E
 Keywords:

 Statistical Mechanics;
 Materials Science
 EPrint:
 Written in REVTex, 10 pages, 6 figures in Postscript