Nonlinear hysteretic behavior of a confined sliding layer

  title={Nonlinear hysteretic behavior of a confined sliding layer},
  author={Nicola Manini and Giuseppe E. Santoro and Erio Tosatti and Andrea Vanossi},
  journal={Journal of Physics: Condensed Matter},
A nonlinear model representing the tribological problem of a thin solid lubricant layer between two sliding periodic surfaces is used to analyze the phenomenon of hysteresis at pinning/depinning around a moving state rather than around a statically pinned state. The cycling of an external driving force F ext is used as a simple means to destroy and then to recover the dynamically pinned state previously discovered for the lubricant center-of-mass velocity. Depinning to a quasi-freely sliding… 
7 Citations
Tribology of the lubricant quantized sliding state.
It is found that this quantized sliding represents a dynamical "pinned" state, characterized by significantly low values of the kinetic friction, which is robust against the effects of thermal fluctuations, quenched disorder in the confining substrates, and over a wide range of loading forces.
Role of transverse displacements for a quantized-velocity state of a lubricant
Within the idealized scheme of a one-dimensional Frenkel-Kontorova-like model, a special 'quantized' sliding state was found for a solid lubricant confined between two periodic layers (Vanossi et al
Influence of substrate potential shape on the dynamics of a sliding lubricant chain.
We investigate the frictional sliding of an incommensurate chain of interacting particles confined in between two nonlinear on-site substrate potential profiles in relative motion. We focus here on
Subharmonic Shapiro steps of sliding colloidal monolayers in optical lattices.
Realistic molecular dynamics simulations of a 2D experimental setup, where the colloid sliding is realized through the motion of soliton lines between locally commensurate patches or domains, and where the Shapiro steps are predicted and analyzed, are presented.
Analytic understanding and control of dynamical friction
Friction between sliding objects is a phenomenon so ubiquitous that it is easily forgotten how few of its microscopic details are properly understood. To gain new insight into the dynamical mechanism
Recent highlights in nanoscale and mesoscale friction
Recent advances on the research focusing of nano- and mesoscale tribology phenomena are reviewed, leading to new technological advances in the area of engineering and materials science.
Friction and nonlinear dynamics.
The nonlinear dynamics associated with sliding friction forms a broad interdisciplinary research field that involves complex dynamical processes and patterns covering a broad range of time and length


Hysteresis from dynamically pinned sliding states
Abstract We report a surprising hysteretic behavior in the dynamics of a simple one-dimensional nonlinear model inspired by the tribological problem of two sliding surfaces with a thin solid
Static friction on the fly: velocity depinning transitions of lubricants in motion.
The dragging velocity of a model solid lubricant confined between sliding periodic substrates exhibits a phase transition between two regimes, respectively, with quantized and with continuous lubricant center-of-mass velocity, which appears isomorphic to a static Aubry depinning transition in a Frenkel-Kontorova model.
Kink plateau dynamics in finite-size lubricant chains
We extend the study of velocity quantization phenomena recently found in the classical motion of an idealized 1D model solid lubricant – consisting of a harmonic chain interposed between two periodic
Asymmetric frictional sliding between incommensurate surfaces
Abstract We study the frictional sliding of two ideally incommensurate surfaces with a third incommensurate sheet – a sort of extended lubricant – in between. When the mutual ratios of the three
Detachment fronts and the onset of dynamic friction
It is shown that the onset of frictional slip is governed by three different types of coherent crack-like fronts: these are observed by real-time visualization of the net contact area that forms the interface separating two blocks of like material.
Incommensurability of a confined system under shear.
It is shown that, contrary to the standard Frenkel-Kontorova model, the most favorable sliding regime is achieved by choosing chain-substrate incommensurabilities belonging to the class of cubic irrational numbers (e.g., the spiral mean).
Hysteresis in the Underdamped Driven Frenkel-Kontorova Model
We study a commensurate chain of atoms subject to a periodic substrate potential, damping, and a thermal bath, and driven by an external dc force. In the underdamped case the average system velocity
Driven, underdamped Frenkel-Kontorova model on a quasiperiodic substrate.
This work considers the underdamped dynamics of a chain of atoms subject to a dc driving force and a quasiperiodic substrate potential and finds that when the length scales are related by the spiral mean, there exists a value of the interparticle interaction strength above which the static friction is zero.
Stick-slip dynamics as a probe of frictional forces
In this letter we investigate the nature of relaxation in a model system which consists of a chain of particles that interact with two periodic potentials which represent two confining plates, one of
Atomic Scale Friction: What can be Deduced from the Response to a Harmonic Drive?
There has been a growing number of attempts to understand the relationship between frictional forces and the microscopic properties of nanosystems. Recent studies on friction [1‐ 9] have exposed a