Sliding Friction in the Frenkel-Kontorova Model

TL;DR

This paper investigates nonlinear sliding friction using a two-dimensional Frenkel-Kontorova model under external force, employing Brownian dynamics to analyze how temperature and microscopic friction influence frictional behavior.

Contribution

It introduces a two-dimensional Frenkel-Kontorova model for sliding friction and applies Brownian molecular dynamics to explore nonequilibrium properties under various conditions.

Findings

Frictional behavior depends on temperature and microscopic friction parameter.

The model captures nonlinear sliding friction phenomena.

Results provide insights into lubricant-mediated surface interactions.

Abstract

A two-dimensional \underline{Frenkel-Kontorova model} under a steady external force is used to study the nonlinear sliding friction between flat macroscopic surfaces with a lubricant layer in between. The nonequilibrium properties of the model are simulated by a Brownian molecular dynamics and results are obtained as a function of temperature and a microscopic friction parameter $\eta$.