Bistability and Hysteresis in the Sliding Friction of a Dimer

Abstract

The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimensional model. Nonlinear phenomena that emerge include dynamic bistability and hysteresis, and can be related to earlier observations for extended systems such as the Frenkel-Kontorova model. Several observed features can be satisfactorily explained in terms of the resonance of a driven-damped nonlinear oscillator. Increasing temperature tends to lower the resonant peak and wash out the hysteresis.

arXiv comment18 pages, 12 figures

References in corpus (6)

• On the driven Frenkel-Kontorova model: I. Uniform sliding states and dynamical domains of different particle densities
• On the driven Frenkel-Kontorova model: II. Chaotic sliding and nonequilibrium melting and freezing
• Electronic versus Phononic Friction of Xenon on Silver
• Dynamical phase diagram of the dc-driven underdamped Frenkel-Kontorova chain
• Microscopic mechanisms of thermal and driven diffusion of non rigid molecules on surfaces
• Nonlinear dynamics of dimers on periodic substrates

Cited by in corpus (5)

• Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility
• Collective Sliding States for Colloidal Molecular Crystals
• Resonance-like phenomena of the mobility of a chain of nonlinear coupled oscillators in a two-dimensional periodic potential
• Sliding and dry friction: Prandtl-Tomlinson athermal model revisited
• Tomlinson model improved with no ad-hoc dissipation