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Related papers: Onset of sliding friction in incommensurate system…

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Dynamical frictional phenomena are studied theoretically in a two-chain model with incommensurate structure. A perturbation theory with respect to the interchain interaction reveals the contributions from phonons excited in each chain to…

Statistical Mechanics · Physics 2009-10-30 Takaaki Kawaguchi , Hiroshi Matsukawa

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

Wearless friction is investigated in a simple mechanical model called Frenkel-Kontorova-Tomlinson model. We have introduced this model in [Phys. Rev. B, Vol. 53, 7539 (1996)] where the static friction has already been considered. Here the…

Statistical Mechanics · Physics 2009-10-30 Michael Weiss , Franz-Josef Elmer

We present Molecular Dynamics simulations of one- and two-dimensional bead-spring models sliding on incommensurate substrates. We investigate how sliding friction is affected by interaction anharmonicity and structural defects. In their…

Materials Science · Physics 2021-08-04 S. Amiri , C. A. Volkert , R. L. C. Vink

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…

Materials Science · Physics 2009-11-11 S. Goncalves , C. Fusco , A. Bishop , V. M. Kenkre

Pinning phenomena in an incommensurate two-chain model of friction are studied numerically. The pinning effect due to the breaking of analyticity exists in the present model. The pinning behavior is, however, quite different from that for…

Statistical Mechanics · Physics 2009-10-31 Takaaki Kawaguchi , Hiroshi Matsukawa

An impact of kink-type solitons on infrared lattice vibrations is studied for incommensurate Frenkel-Kontorova model. It is shown that the vibration of particles involved into the kink formation is very similar to that in a gap mode around…

patt-sol · Physics 2007-05-23 Victor M. Burlakov

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

Amontons' law postulates a monotonic relationship between frictional force and the normal load applied to a sliding contact. This empirical rule, however, fails in systems where internal degrees of freedom - such as structural or electronic…

Materials Science · Physics 2026-03-19 Hongri Gu , Anton Lüders , Clemens Bechinger

We study the effects of temperature and sliding velocity on superlubricity in numerical simulations of the Frenkel-Kontorova model. We show that resonant excitations of the phonons in an incommensurate sliding body lead to an effective…

Statistical Mechanics · Physics 2013-04-29 Joost A. van den Ende , Astrid S. de Wijn , Annalisa Fasolino

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

The frictional dynamics of interacting surfaces under forced translation are critically dependent on lattice commensurability. Performing experiments in a trapped-ion friction emulator, we observe two distinct structural and frictional…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Dorian A. Gangloff , Alexei Bylinskii , Vladan Vuletić

We theoretically investigate the effects of parametric driving on the one-dimensional Frenkel-Kontorova model, a nonlinear many-body lattice system. It is numerically found that a parametric vibration induces spatiotemporal ordering…

Statistical Mechanics · Physics 2026-05-27 Yu Funami , Kazushi Aoyama

The nonlinear response of an adsorbed layer on a periodic substrate to an external force is studied via a two dimensional uniaxial Frenkel-Kontorova model. The nonequlibrium properties of the model are simulated by Brownian molecular…

Statistical Mechanics · Physics 2009-10-31 Enzo Granato , S. C. Ying

The propagation of an initially localized excitation in one dimensional incommensurate, quasiperiodic and random systems is investigated numerically. It is discovered that the time evolution of variances $\sigma^2(t)$ of atom displacements…

Statistical Mechanics · Physics 2009-10-31 Bambi Hu , Baowen Li , Peiqing Tong

The pioneer work of Krim and Widom unveiled the origin of the viscous nature of friction at the atomic scale. This generated extensive experimental and theoretical activity. However, fundamental questions remain open like the relation…

Materials Science · Physics 2007-05-23 Evy Salcedo , Sebastian Goncalves , Claudio Scherer , Miguel Kiwi

Resonant transport occurs when there is a matching of frequencies across some spatial medium, increasing the efficiency of shuttling particles from one reservoir to another. We demonstrate that in a periodically driven, many--body titled…

Strongly Correlated Electrons · Physics 2025-07-31 Bitan De , Gabriela Wójtowicz , Marek M. Rams , Michael Zwolak , Jakub Zakrzewski

The breakdown of Hooke's law marks the onset of nonlinear behaviour: when displacements become large, restoring forces weaken and conventional proportionality fails. In quantum materials, intense optical excitation can drive the crystal…

Frictional phenomena of two-dimensional elastic lattices are studied numerically based on a two-dimensional Frenkel-Kontorova model with impurities. It is shown that impurities can assist the depinning. We also investigate anisotropic…

Statistical Mechanics · Physics 2009-10-31 Takaaki Kawaguchi , Hiroshi Matsukawa

Molecular dynamics simulations of frictional sliding in an Atomic Force Microscope (AFM) show a clear dependence of superlubricity between incommensurate surfaces on tip compliance and applied normal force. While the kinetic friction…

Materials Science · Physics 2015-05-14 Woo Kyun Kim , Michael L. Falk
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