2018
DOI: 10.1103/physrevb.97.104104
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Analytic understanding and control of dynamical friction

Abstract: Recent model simulations discovered unexpected non-monotonic features in the wear-free dry phononic friction as a function of the sliding speed. Here we demonstrate that a rather straightforward application of linear-response theory, appropriate in a regime of weak slider-substrate interaction, predicts frictional one-phonon singularities which imply a non-trivial dependence of the dynamical friction force on the slider speed and/or coupling to the substrate. The explicit formula which we derive reproduces ver… Show more

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Cited by 24 publications
(16 citation statements)
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“…This is achieved while maintaining a full control of dissipation and temperature, thus emulating perfectly the Prandtl–Tomlinson model [ 149 ]. Along this research line, characteristic dissipation frictional peaks at specific values of the slider velocity, recently investigated within a 1D theoretical approach [ 156 157 ], could be potentially observed in experiments here.…”
Section: Reviewmentioning
confidence: 82%
“…This is achieved while maintaining a full control of dissipation and temperature, thus emulating perfectly the Prandtl–Tomlinson model [ 149 ]. Along this research line, characteristic dissipation frictional peaks at specific values of the slider velocity, recently investigated within a 1D theoretical approach [ 156 157 ], could be potentially observed in experiments here.…”
Section: Reviewmentioning
confidence: 82%
“…Recently, experiments are done with laser-cooled and trapped ions for insights into friction processes [23,24,49,[86][87][88]. The systems try to emulate the FK model (1) for a small number N , where the chain of the interesting particles slides under an external force over the fixed rigid sinusoidal potential.…”
Section: Discussionmentioning
confidence: 99%
“…We here follow a different approach, with the goal being to ob-* cammaant@fel.cvut.cz tain information on frictional and dissipative properties by the only knowledge of the static properties of the system, without the need to perform long and costly dynamic simulations; furthermore, we use a system-independent framework which is applicable to any kind of chemistry and atom topology. The approach that we adopt is based on the phonon modes calculated on the stable geometry; indeed, recent works have already drawn attention to the role of phonons in determining the frictional properties of tribological systems [14,15].…”
Section: Introductionmentioning
confidence: 99%