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We report peculiar velocity quantization phenomena in the classical motion of an idealized 1D solid lubricant, consisting of a harmonic chain interposed between two periodic sliders. The ratio v_cm/v_ext of the chain center-of-mass velocity…

Materials Science · Physics 2009-11-11 Andrea Vanossi , Nicola Manini , Giorgio Divitini , Giuseppe E. Santoro , Erio Tosatti

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 sliding potentials [Phys. Rev. Lett.…

Materials Science · Physics 2012-10-29 Marco Cesaratto , Nicola Manini , Andrea Vanossi , Erio Tosatti , Giuseppe E. Santoro

Within the idealized scheme of a 1-dimensional Frenkel-Kontorova-like model, a special "quantized" sliding state was found for a solid lubricant confined between two periodic layers [PRL 97, 056101 (2006)]. This state, characterized by a…

Recent highly idealized model studies of lubricated nanofriction for two crystalline sliding surfaces with an interposed thin solid crystalline lubricant layer showed that the overall relative velocity of the lubricant $v_{\rm lub} / v_{\rm…

Soft Condensed Matter · Physics 2014-03-06 A. Vigentini , B. Van Hattem , E. Diato , P. Ponzellini , T. Meledina , A. Vanossi , G. Santoro , E. Tosatti , N. Manini

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 periodicities in this sandwich geometry are chosen to…

Materials Science · Physics 2009-11-11 Giuseppe E. Santoro , Andrea Vanossi , Nicola Manini , Giorgio Divitini , Erio Tosatti

In the framework of Langevin dynamics, we demonstrate clear evidence of the peculiar quantized sliding state, previously found in a simple 1D boundary lubricated model [Phys. Rev. Lett. 97, 056101 (2006)], for a substantially less idealized…

This paper is part of a study of the frictional dynamics of a confined solid lubricant film - modelled as a one-dimensional chain of interacting particles confined between two ideally incommensurate substrates, one of which is driven…

Materials Science · Physics 2012-10-26 Andrea Vanossi , Giuseppe E. Santoro , Nicola Manini , Erio Tosatti , O. M. Braun

The contribution of sliding-induced, atomic-scale instabilities to the kinetic friction force is investigated by molecular dynamics. For this purpose, we derive a relationship between the kinetic friction force $F_{\rm k}$ and the…

Statistical Mechanics · Physics 2009-11-10 Martin Aichele , Martin H. Muser

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 lubricant layer in between. In particular, we consider the…

Materials Science · Physics 2012-10-29 Andrea Vanossi , Giuseppe E. Santoro , Nicola Manini , Marco Cesaratto , Erio Tosatti

In the framework of a Frenkel-Kontorova-like model, we address the robustness of the superlubricity phenomenon in an edge-driven system at large scales, highlighting the dynamical mechanisms leading to its failure due to the slider…

Statistical Mechanics · Physics 2015-11-17 Andrea Benassi , Ming Ma , Michael Urbakh , Andrea Vanossi

The dynamical behavior of a harmonic chain in a spatially periodic potential (Frenkel-Kontorova model, discrete sine-Gordon equation) under the influence of an external force and a velocity proportional damping is investigated. We do this…

Condensed Matter · Physics 2009-10-31 Torsten Strunz , Franz-Josef Elmer

Soliton molecules may be formed in some possible mechanisms in both theoretical and experimental aspects. In this letter, we introduce a new possible mechanism, the velocity resonant, to form soliton molecules. Under the resonant mechanism,…

Exactly Solvable and Integrable Systems · Physics 2024-06-04 S. Y. Lou

We report an instability of a slider slowly dragged at the surface of a granular bed in a quasistatic regime. The boat-shaped slider sits on the granular medium under its own weight and is free to translate vertically and to rotate around…

Soft Condensed Matter · Physics 2023-11-13 Antoine Dop , Valérie Vidal , Nicolas Taberlet

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 the class of Remoissenet-Peyrard…

Other Condensed Matter · Physics 2013-11-15 Rosalie Laure Woulaché , Andrea Vanossi , Nicola Manini

Dynamics of a chain of interacting parity-time invariant nonlinear dimers is investigated. A dimer is built as a pair of coupled elements with equal gain and loss. A relation between stationary soliton solutions of the model and solitons of…

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

We report the statistical properties of spherical steel particles rolling on an inclined surface being driven by an oscillating wall. Strong dissipation occurs due to collisions between the particles and rolling and can be tuned by changing…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The main points of the analysis are effects of the…

Pattern Formation and Solitons · Physics 2015-05-14 Hidetsugu Sakaguchi , Boris A. Malomed

Shear viscosity measures the amount of internal friction in a simple fluid. In kinetic theory shear viscosity is related to momentum transport by quasi-particles, and the uncertainty relation implies that the ratio of shear viscosity eta to…

Fluid Dynamics · Physics 2010-01-15 Thomas Schaefer

The friction between concentric carbon nanotubes sliding one inside the other has been widely studied and simulated, but not so far using external force as the driving variable. Our molecular dynamics (MD) simulations show that as the…

Materials Science · Physics 2011-11-10 Xiao-Hua Zhang , Ugo Tartaglino , Giuseppe E. Santoro , Erio Tosatti
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