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We analyze in some detail the recently discovered velocity quantization phenomena in the classical motion of an idealized one-dimensional solid lubricant, consisting of a harmonic chain interposed between two periodic sliders. The ratio w =…

Materials Science · Physics 2007-08-27 Nicola Manini , Marco Cesaratto , Giuseppe E. Santoro , Erio Tosatti , Andrea Vanossi

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…

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

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 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

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

One classical theory, as determined by an equation of motion or set of classical trajectories, can correspond to many unitarily {\em in}equivalent quantum theories upon canonical quantization. This arises from a remarkable ambiguity, not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ian Redmount , Wai-Mo Suen , Kenneth Young

The steady state structure of an interface in an Ising system on a square lattice placed in a {\em non-uniform} external field, shows a commensurate -incommensurate transition driven by the velocity of the interface. The non-uniform field…

Statistical Mechanics · Physics 2007-07-17 Abhishek Chaudhuri , P. A. Sreeram , Surajit Sengupta

For classical gravitational systems the lapse function and the shift vector are usually determined by imposing appropriate gauge fixing conditions and then demanding their preservation with respect to the dynamics generated by a canonical…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kristina Giesel , Bao-Fei Li , Parampreet Singh , Stefan Andreas Weigl

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

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

We present a comprehensive comparison of spin and energy dynamics in quantum and classical spin models on different geometries, ranging from one-dimensional chains, over quasi-one-dimensional ladders, to two-dimensional square lattices.…

Statistical Mechanics · Physics 2021-08-27 Dennis Schubert , Jonas Richter , Fengping Jin , Kristel Michielsen , Hans De Raedt , Robin Steinigeweg

Using classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic…

Addition of particles to a viscoelastic suspension dramatically alters the properties of the mixture, particularly when it is sheared or otherwise processed. Shear-induced stretching of the polymers results in elastic stress that causes a…

Soft Condensed Matter · Physics 2023-06-28 Sijie Sun , Nan Xue , Stefano Aime , Hyoungsoo Kim , Jizhou Tang , Gareth H. McKinley , Howard A. Stone , David A. Weitz

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller
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