Shear of liquid films confined to molecular dimensions
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OpenAlex topics: Adhesion, Friction, and Surface Interactions · Force Microscopy Techniques and Applications · Surface Modification and Superhydrophobicity
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References (18)
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17. For example, the term on the RHS describing the driving force ignores, for the case of the x-motion, the velocity v at which the end of the spring K1 is stretched; however, as long as the slip velocity (dx/dt) is much larger than v, which can be shown to be the case over most of the slip, this simplification is negligible. Also, for the z-direction motion, z0 should strictly be (z0−δ), but since z0≫δ, this makes little difference
18. If we make the usual assumption that the effective viscosity can be equated to the product of a modulus G and a molecular relaxation time τ, so that ηeff=Gτ, then estimating G≈(kBT/molecular volume), where kB is Boltzmann's constant, gives τ≈10−6 s for the upper limit ηeff=30 P. This yields a lower limit, τ−1≈106 s−1, on the molecular relaxation rate during the slip