2000/04/26 by M. Einax, Mario Einax, S. Trimper +9
Engineering · Physics and Astronomy · #Brake Systems and Friction Analysis #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Gear and Bearing Dynamics Analysis #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0004446
Written in REVTex, 10 pages, 6 figures in Postscript
openalex publication_date 2000/04/26 · arxiv created 2000/04/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 εc. 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 Fex we have determined the critical force of static friction Fc above a sliding motion occurs.