2007
DOI: 10.1016/j.susc.2007.07.015
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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 lubricant layer in between. In particular, we consider the frictional dynamics of a harmonic chain confined between two rigid incommensurate substrates which slide with a fixed relative velocity. This system was previously found, by explicit solution of the equations of motion, to possess plateaus in parameter space exhibiting a re… Show more

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Cited by 12 publications
(19 citation statements)
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“…8 and 9 for the kink and the anti-kink geometries, respectively, depicting typical scans where v ext is cycled adiabatically up and down in small steps. Like in the T = 0 simulations of the 1D sliding model, 7,8,12 and as is well known for the static pinning/depinning of the standard FK model, [21][22][23] the present 2D model displays a clear hysteretic behavior of the velocity-plateau state (panels (a)), provided that thermal fluctuations are much smaller than the energy barrier hindering the full exploration of phase space for any affordable simulation time. A clear correlation of F k with the effective lubricant temperature k B T eff ∝ E k cm (panels Fig.…”
Section: Frictionsupporting
confidence: 70%
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“…8 and 9 for the kink and the anti-kink geometries, respectively, depicting typical scans where v ext is cycled adiabatically up and down in small steps. Like in the T = 0 simulations of the 1D sliding model, 7,8,12 and as is well known for the static pinning/depinning of the standard FK model, [21][22][23] the present 2D model displays a clear hysteretic behavior of the velocity-plateau state (panels (a)), provided that thermal fluctuations are much smaller than the energy barrier hindering the full exploration of phase space for any affordable simulation time. A clear correlation of F k with the effective lubricant temperature k B T eff ∝ E k cm (panels Fig.…”
Section: Frictionsupporting
confidence: 70%
“…8 In particular, within the plateau, the T = 0 calculation shows perfect matching of the mean lubricant velocity to the geometric ratio w plat of Eq. (12). By increasing the temperature, w deviates more and more from the perfect plateau value.…”
Section: The Robustness Of the Plateau Dynamicsmentioning
confidence: 92%
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“…1. We start investigating the plateau destruction/recovery induced by varying the external force F ext through a sequence of adiabatic increases and decreases [17]. The resulting CM velocity is displayed in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…[40,41,42,43,44,45,46,47,48,49,50,51]. The results of sliding simulation for w = 1/14, corresponding to ρ = 14/15, are shown in Fig.…”
Section: ρ = 14/15mentioning
confidence: 99%